GLENCOE MATHEMATICS Grade Includes: • Grade 7 West Virginia Content Standards • Student Recording Chart • Diagnostic Test • Numerous Practice Questions for Each Objective • Full-Size Sample Test 7 Test-Taking Tips • Go to bed early the night before the test. You will think more clearly after a good night's rest. • Read each problem carefully and think about ways to solve the problem before you try to answer the question. • Relax. Most people get nervous when taking a test. It's natural. Just do your best. • Answer questions you are sure about first. If you do not know the answer to a question, skip it and go back to that question later. • Think positively. Some problems may seem hard to you, but you may be able to figure out what to do if you read each question carefully. • If no figure is provided, draw one. If one is furnished, mark it up to help you solve the problem. • When you have finished each problem, reread it to make sure your answer is reasonable. • Become familiar with a variety of formulas and when they should be used. • Make sure that the number of the question on the answer sheet matches the number of the question on which you are working in your test booklet. Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Printed in the United States of America. Except as permitted under the United States Copyright Act, no part of this book may be reproduced in any form, electronic or mechanical, including photocopy, recording, or any information storage or retrieval system, without prior written permission of the publisher. Send all inquiries to: The McGraw-Hill Companies 8787 Orion Place Columbus, OH 43240-4027 ISBN: 0-07-866759-3 WESTEST Grade 7 Practice and Sample Test Workbook 1 2 3 4 5 6 7 8 9 10 079 13 12 11 10 09 08 07 06 05 04 Contents Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv Student Recording Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v West Virginia Content Standards and Objectives, Grade 7 . . . . . . . . . . . vi Copyright © Glencoe/McGraw-Hill Test Practice Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Standards Practice MA.7.1.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 MA.7.1.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11–12 MA.7.1.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12–13 MA.7.1.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13–14, 17 MA.7.1.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14, 17 MA.7.1.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 MA.7.1.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15–16, 17 MA.7.1.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16, 17 MA.7.2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 MA.7.2.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19, 31 MA.7.2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19–20, 31 MA.7.2.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20–21 MA.7.2.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 MA.7.2.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22, 31 MA.7.2.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23, 31 MA.7.2.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 MA.7.2.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 MA.7.2.10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25–26 MA.7.2.11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27–28 MA.7.2.12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 MA.7.2.13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30, 31 MA.7.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32, 37 MA.7.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32, 37 MA.7.3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33, 37 MA.7.3.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33–34, 37 MA.7.3.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34–35, 37 MA.7.3.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35–36, 37 MA.7.3.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36, 37 MA.7.4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38, 41 MA.7.4.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38–39, 41 MA.7.4.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39–40, 41 MA.7.4.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40, 41 MA.7.5.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42, 45 MA.7.5.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42–43, 45 MA.7.5.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43–44, 45 MA.7.5.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44, 45 Test Practice Sample Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 WESTEST, Grade 7 iii Overview The material in this booklet is designed to help your students prepare for the West Virginia Educational Standards Test (WESTEST). It contains: • a Student Recording Chart, • West Virginia Content Standards and Objectives, • a Diagnostic Test, • practice for each objective, and • a Sample Test. How to Use This Book Diagnostic Test This test will help you identify any weaknesses you may have as you prepare to take the WESTEST. Once you’ve taken the test and it’s been graded, complete the Student Recording Chart that is found on page v. Mark an × in the square for each question that you answered incorrectly. Practice If you missed one or two of the questions for a particular objective, you could probably use some extra practice with that objective. The Student Recording Chart lists practice pages for each objective. Complete the appropriate practice pages. If you are unsure about how to do some of the problems, you may want to refer to your mathematics book. Copyright © Glencoe/McGraw-Hill Sample Test After you have completed your practice worksheet(s), take the Sample Test on pages 46 to 55. iv WESTEST, Grade 7 Name _____________________________________________________ Student Recording Chart Directions Mark an × by each question from the Diagnostic Test that you answered incorrectly. If there are one or two ×s marked for an objective, write Yes in the Need Practice? box. Then complete the practice pages for that objective. Objective MA.7.1.1 MA.7.1.2 MA.7.1.3 MA.7.1.4 MA.7.1.5 MA.7.1.6 14 ■ 25 ■ 18 ■ 9 ■ 10 ■ 16 ■ 33 ■ 11 11–12 12–13 13–14, 17 14, 17 15 MA.7.1.7 MA.7.1.8 MA.7.2.1 MA.7.2.2 MA.7.2.3 MA.7.2.4 34 ■ 44 ■ 21 ■ 30 ■ 3■ 37 ■ 7■ Practice Pages 15–16, 17 16, 17 18 19, 31 19–20, 31 20–21 Objective MA.7.2.5 MA.7.2.6 MA.7.2.7 MA.7.2.8 MA.7.2.9 MA.7.2.10 31 ■ 35 ■ 29 ■ 36 ■ 23 ■ 17 ■ 21 22, 31 23, 31 24 25 25–26 MA.7.2.11 MA.7.2.12 MA.7.2.13 MA.7.3.1 MA.7.3.2 MA.7.3.3 26 ■ 12 ■ 42 ■ 1■ 13 ■ 45 ■ 27 ■ 22 ■ 27–28 29 30, 31 32, 37 32, 37 33, 37 MA.7.3.4 MA.7.3.5 MA.7.3.6 MA.7.3.7 MA.7.4.1 MA.7.4.2 5■ 43 ■ 32 ■ 39 ■ 11 ■ 41 ■ 40 ■ Practice Pages 33–34, 37 34–35, 37 35–36, 37 36, 37 38, 41 38–39, 41 Objective MA.7.4.3 MA.7.4.4 MA.7.5.1 MA.7.5.2 MA.7.5.3 MA.7.5.4 Test Questions 2 ■ 19 ■ 6■ 15 ■ 20 ■ 4 ■ 38 ■ 8 ■ 24 ■ 28 ■ 39–40, 41 40, 41 42, 45 42–43, 45 43–44, 45 44, 45 Test Questions Need Practice? Practice Pages Objective Test Questions Need Practice? Test Questions Need Practice? Practice Pages Objective Test Questions Need Practice? Practice Pages Objective Copyright © Glencoe/McGraw-Hill Test Questions Need Practice? Need Practice? Practice Pages WESTEST, Grade 7 v West Virginia Content Standards and Objectives, Grade 7 Content Standards and Objectives Standard 1: Number and Operations (MA.S.1) Students will: • demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems; • demonstrate meanings of operations and how they relate to one another; and • compute fluently and make reasonable estimates through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics. MA.7.1.1 Students will compare and order integers, decimals, and fractions using symbols (, , ) manipulatives and graphing on a number line. MA.7.1.2 Students will find powers, squares, and square roots using manipulatives, models, calculators, tables and mental math. MA.7.1.3 Students will define absolute value and determine its effect on a number or expression. a b MA.7.1.4 Students will recognize and write rational numbers in the form . MA.7.1.5 Students will perform operations with integers (e.g., addition, subtraction, multiplication, division). MA.7.1.6 Students will apply the commutative, associative, distributive, identity and inverse properties. MA.7.1.7 Students will solve application problems with whole numbers, decimals, fractions and percents. MA.7.1.8 Students will use appropriate estimation strategies in problem situations including evaluating the reasonableness of a solution. MA.7.2.1 Students will find missing elements in a variety of arithmetic and geometric patterns including algebraic sequences and series. MA.7.2.2 Students will simplify and evaluate numerical and algebraic expressions with whole numbers, integers, absolute value and exponents using the order of operations and exponential rules. MA.7.2.3 Students will add, subtract, multiply and divide monomials with no more than two variables and no exponent greater than two. MA.7.2.4 Students will find and use the Greatest Common Factor (GCF) and Least Common Multiple (LCM) of a set of monomials or algebraic fractions using prime factorization and exponent rules. vi WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill Standard 2: Algebra (MA.S.2) Students will: • demonstrate understanding of patterns, relations, and functions; • represent and analyze mathematical situations and structures using algebraic symbols; • use mathematical models to represent and understand quantitative relationships; and • analyze change in various contexts through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics. Content Standards and Objectives MA.7.2.5 Students will input data into a spreadsheet to create input/output function tables. MA.7.2.6 Students will use ratios and proportions to represent and solve application problems. MA.7.2.7 Students will write and evaluate complex algebraic expressions for word phrases. MA.7.2.8 Students will use and apply scientific notation containing positive and negative exponents. MA.7.2.9 Students will solve one-step linear equations containing whole numbers, fractions, decimals and integers with integer solutions. MA.7.2.10 Students will solve basic inequalities using inverse operations and graph solutions. MA.7.2.11 Students will plot lines within the Cartesian coordinate plane from a table of values. MA.7.2.12 Students will determine the slope of a line from its graphical representation. MA.7.2.13 Students will represent and solve real world problems appropriate for 7th grade using manipulatives. Standard 3: Geometry (MA.S.3) Students will: • analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships; • specify locations and describe spatial relationships using coordinate geometry and other representational systems; • apply transformations and use symmetry to analyze mathematical situations; and • solve problems using visualization, spatial reasoning, and geometric modeling through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics. MA.7.3.1 Students will identify and construct angle-pairs (e.g., adjacent, complementary, supplementary, vertical). MA.7.3.2 Students will use a formula to determine the sum of the measures of the interior angles of a polygon. MA.7.3.3 Students will use 2-dimensional representations of 3-dimensional objects to visualize and solve problems. MA.7.3.4 Students will identify and construct congruent segments and angles, perpendicular bisectors of segments and angle-bisectors. MA.7.3.5 Students will apply and demonstrate line symmetry. MA.7.3.6 Students will apply transformations (rotations, reflections, translations) to plane figures using Copyright © Glencoe/McGraw-Hill graph paper. MA.7.3.7 Students will solve ratio and proportion problems including scale drawings and similar polygons. WESTEST, Grade 7 vii Content Standards and Objectives Standard 4: Measurement (MA.S.4) Students will: • demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurement; and • apply appropriate techniques, tools and formulas to determine measurements through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics. MA.7.4.1 Students will use and apply formulas in problem solving situations involving perimeter, circumference, area, surface area, distance and temperature (Celsius, Fahrenheit). MA.7.4.2 Students will use the concept of volume for prisms, pyramids, and cylinders as the relationship between the area of the base and height. MA.7.4.3 Students will use the Pythagorean Theorem to find the length of any side of a right triangle. MA.7.4.4 Students will convert units of measurement within and between customary and metric systems. Standard 5: Data Analysis and Probability (MA.S.5) Students will: • formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them; • select and use appropriate statistical methods to analyze data; • develop and evaluate inferences and predictions that are based on models; and • apply and demonstrate an understanding of basic concepts of probability through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics. MA.7.5.1 Students will determine experimental and theoretical probability of an event using appropriate technology. MA.7.5.2 Students will construct sample spaces by listing, tree diagrams, and frequency distribution tables to determine combinations and permutations. MA.7.5.3 Students will collect, organize, graphically represent, and interpret data displays including: frequency distributions, line-plots, scatter plots, box and whiskers, and multiple-line graphs. MA.7.5.4 Students will solve application problems involving measures of central tendency (mean, Copyright © Glencoe/McGraw-Hill median, mode) and dispersion (range) from data, graphs, tables, and experiments using appropriate technology. viii WESTEST, Grade 7 Name Date Diagnostic Test Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Demetra is using a small hose to fill the family swimming pool. After one hour, the water is 4 inches deep. If the pool is considered full when the water is 3 inches from the top, how much longer will it take to finish the job? MA.7.2.13 1 4 ft 14 ft A 10 h C 11 h B 10 h 15 min D 11 h 15 min 2 A neighbor is building a ramp to allow furniture movers to reach his front porch. The porch is 3 feet above ground level. The ramp begins 13 feet from the house. How long must the ramp be? Answer to the nearest inch. 2 MA.7.4.3 ramp 3 ft 13 ft A 13 ft C 13 ft 3 in. B 13 ft 2 in. D 13 ft 4 in. 3 Simplify 2(4a)2. MA.7.2.2 A 8a Copyright © Glencoe/McGraw-Hill C 16a2 3 B 8a2 D 32a2 4 An artist has 4 paintings in his garage. How many different sets of 3 paintings could he select for a small display in a local gallery? A 2 sets B 3 sets MA.7.5.2 C 4 sets D 6 sets 4 5 How many pairs of congruent angles with measures less than 180° are in the figure? MA.7.3.4 5 1 2 4 3 A 1 pair C 3 pairs 5 6 8 7 B 2 pairs D 4 pairs Go on WESTEST, Grade 7 1 Name Date Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 6 The label on Julia’s new antibiotic indicates she should take 2 tablets every four hours. Each tablet contains 20 milligrams of the antibiotic. How many grams of the antibiotic are in the bottle of 60 tablets? MA.7.4.4 A 2400 g B 12 g C 2.4 g D 1.2 g 6 7 What is the exact value of 3145 2335? MA.7.2.4 7 C 11 525 64 1 105 B D 11 35 61 1 100 8 The frequency distribution tallies the number of bird species spotted during a morning bird-watch at Yankauer Nature Preserve. At least how many species were observed from 7 A.M. to 10 A.M.? MA.7.5.3 Time (A.M.) 5–6 6–7 7–8 8–9 9–10 10–11 11–noon Tally || |||| | |||| ||| | | || A 4 species C 8 species Frequency 2 6 4 3 1 1 2 B 7 species D 9 species 9 What is another way to write the number 0.16? MA.7.1.4 A C 1 6 1 3 2 3 0.3 0.35 0.6 WESTEST, Grade 7 9 B 16% D 116 10 What is 35 in decimal form? MA.7.1.4 A B C D 8 Copyright © Glencoe/McGraw-Hill A 10 Go on Name Date Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 11 What is the area of a rectangle 5 feet wide and 8 feet long? MA.7.4.1 A 13 ft2 B 26 ft2 C 40 ft2 D 48 ft2 11 12 What is the slope of line m ? MA.7.2.12 12 A B C 25 35 52 y x O D 5 m 13 What is mLKM? MA.7.3.1 A 67 B 90 C 113 D 247 13 L 67 K M 14 Which statement is false? MA.7.1.1 A Copyright © Glencoe/McGraw-Hill B C D 13 20 16 25 16 25 13 20 14 16 25 15 23 18 29 18 29 15 Angela tosses a fair coin and gets heads three times in a row. What is the probability that she will get heads if she tosses the coin a fourth time? A 50% MA.7.5.1 15 B 6623% C 75% D 80% Go on WESTEST, Grade 7 3 Name Date Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 16 Find 15 (7). MA.7.1.5 A 22 C 8 16 B 8 D 22 17 The graph shows which inequality? MA.7.2.10 7 8 9 10 11 12 13 14 A x9 C x9 B x9 D x9 18 What is the value of 7 | 3 5 | ? MA.7.1.3 A 9 B 7 C 6 D 5 18 19 An airplane takes off from Yeager Airport flying due north. After flying 10 miles, it turns and flies west 7 miles. How far is it from the airport, to the nearest tenth of a mile? MA.7.4.3 A 12.2 mi B 12.0 mi C 9.0 mi D 8.5 mi 19 20 A woman is washing dishes in a rectangular sink that is 24 inches long and 16 inches wide. The sink has a circular drain that is 3 inches in diameter. Suddenly, she realizes that the diamond that was in the ring she is wearing has come loose and fallen in the sink. What is the best estimate of the probability that the diamond dropped into the drain when it came loose? MA.7.5.1 20 Copyright © Glencoe/McGraw-Hill 6 17 16 in. 3 in. 24 in. A 18% C 7% 4 WESTEST, Grade 7 B 15% D 2% Go on Name Diagnostic Test Date (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 21 10 ft 3 ft 18 ft 22 You want to rearrange the small cubes in the figure at the right to build a large cube that is 2 cubes long, 2 cubes wide, and 2 cubes high. How many more small cubes will you need? MA.7.3.3 A 2 cubes B 3 cubes C 4 cubes D 5 cubes 22 23 Solve x 6.75 7.25 for x. MA.7.2.9 A 14 B 13 C 14 D 15 23 24 The scatter plot shows how the lengths of some small candles are related to the number of minutes they have been burning. What kind of correlation does the scatter plot show? MA.7.5.3 A positive correlation B negative correlation C random correlation D no correlation 24 25 What is the value of 289 ? MA.7.1.2 A 11 B 13 C 16 D 17 Length (cm) Copyright © Glencoe/McGraw-Hill 21 The kitchen floor in the Reyes house has an island and an L-shaped counter as shown at the right. If each floor tile is one square foot and costs $2.35, about how much will it cost the Reyes to retile the floor shown by the shaded area? MA.7.1.8 A $350 B $280 C $250 D $215 0 Time (min) 25 Go on WESTEST, Grade 7 5 Name Date Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 26 Suppose you plot points for the x- and y-values in the table. When you connect the points with a line, which line do you obtain? MA.7.2.11 x y 2 5 4 3 5 1 26 07 3 y p x O m n B line m D line p 27 A convex polygon has 20 sides. What is the sum of the measures of the angles of the polygon? MA.7.3.2 A 3,240 B 3,420 C 3,600 D 3,960 27 28 A library charges ten cents per day for overdue books. The data below lists the number of overdue days for the late returns on the first Monday after January 1. What are the mean, median, and mode of the data? MA.7.5.4 6, 3, 1, 4, 10, 3, 2, 12, 8, 4, 8, 5, 14, 7, 4, 5 A 6, 5, 4 B 6, 5, 14 C 5, 6, 8 D 5, 5, 4 28 29 Which expression represents the difference of the number y and the number x? MA.7.2.7 A y x2 B yx 29 C yx D y x 30 What are the next two numbers in the pattern? MA.7.2.1 1, 3, 7, 13, 21, … A 31, 43 B 30, 42 C 32, 44 D 33, 43 6 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill A line C line n 30 Go on Name Date Diagnostic Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 31 You are going to graph y 7x 3. You A want to use a spreadsheet to automatically 1 x-value calculate the y-values that correspond to 2 1 the x-values 1, 2, and 3. For the spreadsheet 3 2 shown below, what formula should you 4 3 enter in cell B2? MA.7.2.5 A 7*A2 3 B 7*(A2 3) C 7*A1 3 D 7^A1 3 B y-value 32 The coordinates of the vertices of a triangle are 0, 12, (2, 3), and (4, 0). Which figure shows the image of the triangle for the transformation (x, y) → x 2, y 12? MA.7.3.6 A x O C x 32 y x O D y O Copyright © Glencoe/McGraw-Hill B y 31 y O x 33 If y a(b c), which of the following is true? MA.7.1.6 A y ab ac B y a (b c) C y (ab) c D y ab ac 33 34 The Monongahela National Forest contains 80,000 acres of congressionally designated wilderness. If a forest fire were to burn 15% of this wilderness, how many acres would remain unburned? MA.7.1.7 A 12,000 acres B 53,000 acres C 68,000 acres D 70,000 acres 34 35 The park district is filling two public swimming pools, one at a time. Filling the smaller pool, which holds 50,000 gallons, took 6 hours. How much time will be needed to fill the 85,000-gallon pool at the same rate? MA.7.2.6 A 10 h 12 min B 10 h 20 min C 60 h D 102 h 35 Go on WESTEST, Grade 7 7 Name Diagnostic Test Date (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 36 At Earth’s closest approach to the Sun, or perihelion, the Sun is only 147.5 million kilometers away. Earth’s aphelion, or greatest distance from the Sun, is barely 5.1 million kilometers greater than its perihelion. Write Earth’s distance from the Sun at aphelion in scientific notation. MA.7.2.8 A 1.526 106 km 8 B 1.526 10 km C 152.6 million km D 152.6 108 km 36 37 Simplify 4 3x2 13y 5x 7 x2 by combining like terms. A 4x2 5x 11 MA.7.2.3 2 B 4x 5x 13y 11 C 2x2 5x 13y 11 D 2x2 5x 13y 11 37 38 The wardrobe mistress for a musical production has 4 different belts and 2 different hats for the lead dancer. How many belt and hat combinations can she create with these items? MA.7.5.2 A 8 B 6 C 4 D 2 38 39 The triangles in the figure at the right are similar. The length of the shortest side of the larger triangle is 6 centimeters. What is the perimeter of the larger triangle? MA.7.3.7 A 24 cm2 B 24 cm C 48 cm2 D 48 cm 39 8 WESTEST, Grade 7 3 cm Copyright © Glencoe/McGraw-Hill 40 The volume of a triangular prism is 360 m3. The area of the base is 36 m2. What is the height of the prism? MA.7.4.2 A 10 m B 20 m C 36 m D 72 m 5 cm 40 ? Go on Name Date Diagnostic Test (continued) 41 Alonzo clears 3.5 meters on a practice pole vault. What is this height to the nearest tenth of a yard? (Hint: 1 meter ≈ 39.37 inches.) MA.7.4.1 42 What is the slope of the line? MA.7.2.12 y 30 20 10 O 20 30 x The figure shows a design that will be used on the cover of a new cookbook. The large hexagon is a regular hexagon. How many lines of symmetry does the design have and which lines are they? MA.7.3.5 Copyright © Glencoe/McGraw-Hill 43 10 Go on WESTEST, Grade 7 9 Name Date Diagnostic Test 44 (continued) Maria is filling up her automobile’s 14-gallon gasoline tank. When she began, the tank was half full. MA.7.1.7 Part A If the pump supplies gasoline at the rate of 1 gallon every 15 seconds, how long will it take Maria to fill her tank the rest of the way? Part B Maria’s car gets 20 miles per gallon at 40 miles per hour. Starting with a full tank, how long can she drive at this speed before she has only four gallons remaining? 45 Use the figure to answer the questions. MA.7.3.1 B 60 30 C M 150 E D 30 60 A Copyright © Glencoe/McGraw-Hill Part A Name an angle adjacent to mMDE. Part B Name a pair of complementary angles. Part C How do supplementary angles differ from complementary angles? STOP 10 WESTEST, Grade 7 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.1.1 Compare and order integers, decimals, and fractions using symbols (, , ) manipulatives and graphing on a number line. 1 1 Put the numbers in order from least to greatest. 3, 1.49, 3.14, 1.5, 12 A 1.49, 1.5, 12, 3, 3.14 C 1 , 2 B 1 , 2 1.49, 3, 1.5, 3.14 D 3, 12, 1.49, 1.5, 3.14 1.49, 1.5, 3, 3.14 2 2 Which statement is true? A C 2 3 2 3 59 B 59 D 2 3 2 3 79 0.67 3 3 The figure shows the graph of which inequality? 7 6 5 4 3 2 1 A x 5 C x 5 0 1 2 B x 5 D x 5 4 Copyright © Glencoe/McGraw-Hill 4 Which list of numbers is in order from least to greatest? A 0.1, 2.5, 1.1, 0.25, 2.25 B 2.5, 0.1, 0.25, 1.1, 2.25 C 2.5, 0.1, 2.25, 0.25, 1.1 D 2.25, 1.1, 0.25, 0.1, 2.5 OBJECTIVE MA.7.1.2 Find powers, squares, and square roots using manipulatives, models, calculators, tables and mental math. 1 Which equation gives the number of small cubes needed to build the figure shown at the right? A 3 72 147 B 72 49 C 73 343 D 37 2,187 1 WESTEST, Grade 7 11 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.1.2 (continued) 2 A park in Charleston has a square recreation field with an area of 10,000 square meters. How long is each side of the field? A 5,000 mm B 1,000 m C 500 m D 100 m 2 3 What is the value of 26? A 64 B 32 C 16 D 12 3 4 The square top of a table is covered with tiles, as shown in the figure below. Which expression gives the number of tiles? 4 23 tiles 32 tiles 42 tiles 162 tiles OBJECTIVE MA.7.1.3 Define absolute value and determine its effect on a number or expression. 1 Which statement best defines the absolute value of a number? A The absolute value of a number is 1 times the number. B The absolute value of a number is 0 minus the number. C The absolute value of a number is its distance from 1 on a number line. D The absolute value of a number is its distance from 0 on a number line. 12 WESTEST, Grade 7 1 Copyright © Glencoe/McGraw-Hill A B C D Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.1.3 (continued) 2 Which is a true statement? A |12 | 12 B |12 | |12 | C |12 | |12 | D |12 | 12 2 3 The coldest temperature ever recorded in Huntington was 29° Celsius. How many degrees Celsius below zero was this? A 29 degrees B 0 degrees C 29 degrees D 58 degrees 3 4 On a number line, point P is matched with 5, and point Q is matched with 8. Which expression gives the distance from P to Q? B | 8 | |5 | A | 8 (5)| C | 8 | (5) D |5 | | 8 | 4 OBJECTIVE MA.7.1.4 Recognize and write rational numbers in the a form b. 1 Which number is a rational number? B A 3 Copyright © Glencoe/McGraw-Hill C 22 7 D 8 2 Which number is equal to 0.66? A C 1 3 2 3 2 B D 66 100 6 3 3 Which number is equal to 1.4? A C 140 10 14 10 1 3 B D 70 10 14 10 WESTEST, Grade 7 13 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.1.4 (continued) 4 4 What is a rational number? A A rational number is a number that can be written as the quotient ba of two whole numbers, b 0. B A rational number is a number that can be written as the quotient ba of two integers, b 0. C A rational number is a number that can be written as the quotient ba of two integers, a 0. D A rational number is a number that is not a square root. OBJECTIVE MA.7.1.5 Perform operations with integers (e.g., addition, subtraction, multiplication, division). 1 B 6 D 8 2 Find the value of (2)(8)(10). A 180 B 160 C 160 D 180 2 3 Find 7 (22). A 29 B 15 C 15 D 29 3 4 The temperature in Wheeling dropped 15°F in 5 hours. If the temperature change was the same each hour, what was the temperature change each hour? A 3°F B 2°F C 3°F D 5°F 4 14 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill 1 Find 18 26. A 8 C 6 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.1.6 Apply the commutative, associative, distributive, identity and inverse properties. 1 Which property would be most helpful if you want to compute 98 98 99 mentally? A Distributive Property B Commutative Property of Addition C Commutative Property of Multiplication D Associative Property of Multiplication 1 2 Suppose you are going to simplify 5a (5a) 7a. If your first step is to use the Inverse Property of Opposites, which expression will you obtain? A 12a (5a) B 5a 12a C 0 7a D 5a 7a (5a) 2 3 The equation 17 1 29 17 29 uses which property? A Identity Property of Multiplication B Identity Property of Addition C Commutative Property of Multiplication D Commutative Property of Addition 3 Copyright © Glencoe/McGraw-Hill OBJECTIVE MA.7.1.7 Solve application problems with whole numbers, decimals, fractions and percents. 1 A lake that contained 390,525,000 cubic meters of water had the volume of water in it reduced to 234,315,000 cubic meters as a result of hot weather and reduced rainfall. By what fraction was the water volume in the lake reduced? A C 1 3 3 5 B D 1 2 5 7 10 2 In 2001, West Virginia’s population was about 1,801,900. The population of Hampshire County was about 21,000. What percent of West Virginia’s total population was Hampshire County’s population? Answer to the nearest tenth of a percent. A 12% B 11.7% C 2.1% D 1.2% 2 WESTEST, Grade 7 15 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.1.7 (continued) 3 Victor and Shawn are driving from Berkeley Springs to Williamson, a distance of 394 miles. They have driven at an average of 60 miles per hour for 412 hours. What percent of the total distance remains? Answer to the nearest percent. A 61% B 31% C 39% D 69% 3 4 Stephanie and Rita split 14 of a pumpkin pie for dessert at lunch. They divided the remaining pie equally to take home to their families. What fraction of the original pie did each take home? 4 A C 7 8 3 8 pie B pie D 3 4 1 4 pie pie 1 Carlos has received a video store gift certificate for $100. DVDs in a discount bin at the store are priced from $7.99 to $12.99. About how many DVDs can Carlos buy with his gift certificate? A 5 DVDs B 7 DVDs C 9 DVDs D 15 DVDs 1 2 The driving distance from Martinsburg to Charleston is 296 miles. If Erika drives at a steady 65 miles per hour, but makes two stops for fuel, about how long will it take her to make the drive? A 4h B 5h C 6h D 7h 2 3 The movie club is having an animated movie marathon in a classroom. The show will start at 8:00 A.M. sharp on Saturday morning, continuing until 7:00 P.M. Saturday evening, 11 hours later. If there is a 15-minute break between movies, and the movies have an average length of 60 minutes, how many showings will the club be able to have? A 9 showings B 7 showings C 6 showings D 5 showings 3 16 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill OBJECTIVE MA.7.1.8 Use appropriate estimation strategies in problem situations including evaluating the reasonableness of a solution. Name Date Standards Practice OBJECTIVES MA.7.1.4, MA.7.1.5, MA.7.1.7, MA.7.1.8 1 The mountain climbing club is ascending a 5,500-foot peak. A typical rate for fast hiking on a steep slope is 1,500 vertical feet per hour, not counting breaks. They take a five-minute break every 30 minutes. How long will it take the club to climb 80% of the way to the top? 2 Anita can write about 50 lines of computer code per day, but testing and debugging it takes another half day. Her current project is estimated to require about six weeks of work, five days per week. About how many lines of code will she have written, tested, and debugged? 3 Ignacio has a summer job cutting grass for a company whose offices occupy an old estate with a huge lawn. He works five days per week and it takes three days to cut all the grass once. The summer job lasts 14 weeks. Copyright © Glencoe/McGraw-Hill Part A What is the maximum number of times he will cut all the grass? Part B If he takes a three-week vacation, what percent of his expected summer income will he give up by not working? WESTEST, Grade 7 17 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 What number comes next in the pattern? 5, 2, 1, 4, … A 1 B 5 C 7 D 8 1 2 Which figure comes next in the pattern? 2 A B C D 3 What expression comes next in the pattern? 1(a 1), 2(a 2), 4(a 4), 8(a 8), … A 12(a 12) B 16(a 16) C 32(a 32) D 64(a 64) 3 4 What are the next two numbers in the pattern? 7, 13, 23, 37, 55, … A 75, 102 B 76, 102 C 77, 103 D 77, 105 4 18 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill OBJECTIVE MA.7.2.1 Find missing elements in a variety of arithmetic and geometric patterns including algebraic sequences and series. Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. Copyright © Glencoe/McGraw-Hill OBJECTIVE MA.7.2.2 Simplify and evaluate numerical and algebraic expressions with whole numbers, integers, absolute value and exponents using the order of operations and exponential rules. 1 A ship leaves for England from the port of New York. Its average speed is 25 miles per hour except for 8 hours every night, when the speed is decreased to 18 miles per hour. The distance to be traveled is 3,240 miles. How long will the trip take, to the nearest day? A 5 days B 6 days C 7 days D 8 days 1 2 What is the value of 5a2 2a 7 if a 3? A 58 B 55 C 51 D 22 2 3 Simplify |11| 7(5). A 90 C 20 3 B 24 D 20 4 What is the value of (7) |3 (5)2 10|? A 595 B 455 C 105 D 78 4 5 Evaluate the following expression: 8 5 (3). A 120 B 23 C 9 D 9 5 OBJECTIVE MA.7.2.3 Add, subtract, multiply and divide monomials with no more than two variables and no exponent greater than two. 1 Add: 3xy (12xy). A 9xy C 9xy 1 B 9 xy D 9 xy WESTEST, Grade 7 19 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.3 (continued) 2 Subtract 8x2 from 23x2. A 15x2 C 15x2 3 Simplify (70a)(3ab2). A 210a2b2 C 140a2 4 Divide: (40ab2) (5ab). A 8a2b C 8ab2 2 31x2 B D 31x2 3 210ab2 B D 73b2 4 B 8b D 8ab 1 What is the GCF of 24x2 and 36x2? A 12x2 B 6x C 12x D 72x2 1 2 Find the LCM of the following: 15y, 30y2, and 10x. A 1 B 30xy2 2 2 C 5x y D 5xy 2 2 2 39x 15x . 3 Simplify 5 10 A C 20 93x2 10 54x2 10 WESTEST, Grade 7 3 B D 54x2 5 93 10 Copyright © Glencoe/McGraw-Hill OBJECTIVE MA.7.2.4 Find and use the Greatest Common Factor (GCF) and Least Common Multiple (LCM) of a set of monomials or algebraic fractions using prime factorization and exponent rules. Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.4 (continued) 4 Students are going on a field trip to the West Virginia State Museum. Each homeroom has 20 students. Each bus can hold 54 passengers. What is the least number of homerooms that can go if all busses are to be filled completely? A 2 homerooms B 5 homerooms C 10 homerooms D 27 homerooms 4 OBJECTIVE MA.7.2.5 Input data into a spreadsheet to create input/output function tables. A spreadsheet is being created to make input/output tables for y 3x and y 2x 8. Use the spreadsheet shown for Questions 1–4. Copyright © Glencoe/McGraw-Hill 1 2 3 4 A x 2 4 6 B 3x C 2x 8 1 What formula should be entered in cell B2? A 3*A2 B 3^A2 C A2 3 D (3A1) 1 2 What formula should be entered in cell C2? A 2(A2 8) B 2*A2 8 C 2^A2 8 D 2^(A2 8) 2 3 What values will the spreadsheet display for cells B3 and C4? A 12, 16 B 12, 20 C 12, 20 D 12, 20 3 4 Suppose you use the Fill Down feature to create entries for cells A5, A6, and A7. What numbers will the spreadsheet display in these three cells? A 7, 8, 9 B 8, 10, 12 C 10, 12, 14 D 8, 9, 10 4 WESTEST, Grade 7 21 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.6 Use ratios and proportions to represent and solve application problems. 1 A truck trailer x yards long can carry 200 cubic yards of cargo. Another truck trailer is one third the length of the first, but the same height and width. How many cubic yards of cargo can the second trailer hold? 1 x h A 200 m3 B 13323 yd3 C 67 yd2 D 6623 yd3 2 Twelve performances of La Bohème sold out, with a total of 9,900 tickets sold. The next opera, La Traviata, will be performed only eight times. If these performances also are sold out, how many tickets for La Traviata have been sold? A 6,000 tickets B 6,600 tickets C 6,875 tickets D 9,000 tickets 2 3 Jan plants 200 tulips in four hours. How much time will be required for her to plant the remaining 1,100 tulips? A 5.5 h B 11 h C 22 h D 26 h 3 4 André took 2 bags of books to the used book store, receiving $70 for them. Two months later, he received $200 on another visit to the same store. If bags of books are of roughly equal value, about how many bags of books did André sell on his second visit? A 3 bags B 4 bags C 5 bags D 6 bags 4 22 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill w Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.7 Write and evaluate complex algebraic expressions for word phrases. 1 1 Which expression best represents the sum of two numbers divided by their product? A ab ab B ab ab C ab 2 D ab ab 2 West Virginia’s federal congressional delegation has one more Congressional Representative than it has Senators. Which expression represents the number of people in the state’s federal congressional delegation if s is the number of senators? A s1 B 2(s 1) C (s 1) 1 D s (s 1) 2 3 The area of a trapezoid can be found by multiplying the height of the trapezoid by half the sum of the lengths of the bases of the trapezoid. If a trapezoid has height h and bases of lengths a and b, which expression represents the area of the trapezoid? 3 A h 1 2(a b) Copyright © Glencoe/McGraw-Hill B 1 2 h ab C h 12(a b) D h 2a 2hb 4 To find the sum of the first n positive integers, you can multiply n by n 1 and then divide by 2. What is the sum of the first fifteen positive integers? A 240 B 210 C 150 D 120 4 WESTEST, Grade 7 23 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.8 Write and evaluate complex algebraic expressions for word phrases. 1 In July 2002, the population of the United States was approximately 288,000,000. At that time, West Virginia’s population was approximately 0.62% that of the United States. What was West Virginia’s approximate population in July 2002? A 1.79 104 B 1.79 105 C 1.79 106 D 1.79 107 1 2 One estimate of all the gold so far refined in the world is that it would fit inside a cube with edges 18 meters long. What would be the mass of such a cube, if 1 cubic meter of gold has a mass of about 19,300 kilograms? 2 18 m A B C D 6.25 106 kg 1.13 108 kg 1.13 109 kg 7.19 1012 kg 3 About how many dust mites would fit in one cubic meter? A 3.7 104 dust mites B 3.7 107 dust mites C 3.7 1010 dust mites D 3.7 1013 dust mites 3 4 What is the approximate volume of a dust mite in cubic meters? A 2.7 1013 m3 B 2.7 1011 m3 C 2.7 107 m3 D 2.7 104 m3 4 24 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill For Questions 3 and 4, use the fact that approximately 37,000 dust mites would fit in one cubic centimeter. Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.9 Solve one-step linear equations containing whole numbers, fractions, decimals and integers with integer solutions. 1 Solve 3.7k 51.8. A 14 B 12 C 1.4 D 1.2 1 2 Solve 12m 156. A 14 B 13 C 12 D 13 2 x 3. 3 Solve 6 3 A B C D 18 3 12 18 4 Julio buys g gallons of gasoline at $1.50 per gallon. His total cost is $12. What equation can he use to determine how many gallons he purchased? A 1.5g 12 B 150g 12 C 12g 1.5 Copyright © Glencoe/McGraw-Hill D 1.5 g 4 12 OBJECTIVE MA.7.2.10 Solve basic inequalities using inverse operations and graph solutions. 1 Solve 2x 4 10. A x5 B x7 C x 14 D x7 1 WESTEST, Grade 7 25 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.10 (continued) 2 Angela arrives at the mall with $20 in her pocket. Bus fare home is $1.75. If she wants to ride the bus home, which inequality describes the amount s that she can spend at the mall? A s $18.25 B s $18.25 C s $17.75 D s $17.25 2 3 Each gondola on a Ferris wheel can hold up to four people. If the wheel has twenty gondolas, which inequality best describes the number of people p that can ride at the same time? A p 20 B p 40 C p 60 D p 80 3 4 Which is the graph of 8 6x 1? A 4 2 1 0 1 2 3 4 2 1 0 1 2 3 4 B C 2 1 0 1 2 3 4 D 1 0 1 5 Solve 37x 1154 . A x 52 B x 52 C x 52 D x 52 26 WESTEST, Grade 7 2 3 4 5 Copyright © Glencoe/McGraw-Hill 2 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.11 Plot lines within the Cartesian coordinate plane from a table of values. 1 Which table of values was used to draw the line shown in the graph? A x 5 2 1 y 3 1 1 x y 5 3 2 1 1 1 x y 2 3 2 1 6 1 x y 5 2 2 0 1 2 1 y O x B C D 2 A Parkersburg asphalt paving company needs to determine the volume of asphalt required to pave driveways in a new housing development. Each will be 16 feet wide and 6 inches deep. The table shows various lengths L in feet and the corresponding volumes V in cubic feet for a driveway. Which graph shows this information? L V Copyright © Glencoe/McGraw-Hill A 020 025 030 035 040 160 200 240 280 320 B V V 300 300 200 200 100 100 0 C 2 10 20 30 0 L D V 300 200 200 100 100 10 20 30 L 20 30 L 10 20 30 L V 300 0 10 0 WESTEST, Grade 7 27 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.11 (continued) 3 Which shows a correct table of values and graph for y 2x 1? A B x 2 1 0 x 2 1 0 4 2 y 2 3 y x y 2 5 1 y x O C 2 1 3 x O 0 1 D x y 2 3 y 1 1 0 1 y x O x O 4 Which shows a correct table of values and graph for y 3x 2? A B x 2 1 0 x 1 0 1 y 4 1 2 y 4 y x y 3 5 x 2 2 D x y 3 7 WESTEST, Grade 7 2 4 1 1 y O O x O 0 4 y 28 2 y O C 1 4 x x Copyright © Glencoe/McGraw-Hill y 3 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.12 Determine the slope of a line from its graphical representation. 1 What is the slope of line m ? 1 y x O m A 43 B 34 C 1 4 D 3 4 2 Temperature (C) 2 A large pot of water is brought to a boil. The graph shows the temperature of the water, in degrees Celsius, at various times after the water began to boil. What is the slope of the graph? 160 120 80 40 0 1 3 4 2 Time (min) Copyright © Glencoe/McGraw-Hill A undefined B 100 C 1\5 D 0 3 The graph in the coordinate plane of x 2 is shown below. What is the slope of the graph? 3 y x2 O A 1 x B 1 5 C 0 D undefined WESTEST, Grade 7 29 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.2.13 Represent and solve real world problems appropriate for 7th grade using multiple strategies. 1 A container of garlic and cheddar mashed potatoes has two packets in it, each with four servings of 25g each. If two people follow the directions, and evenly share one full packet between them, how many calories will each of them consume? 1 Nutrition Facts Serving Size 1⁄2 cup as pkgd. (25 g) 1⁄2 cup prepared Servings Per Container 8 Amount per Serving As pkgd. Prepared 90 160 Calories A 90 Calories C 320 Calories B 160 Calories D 640 Calories 2 In how many ways can you give 1 dollar in change if the only coins available are quarters, nickels, and dimes? A 8 ways B 9 ways C 15 ways D 29 ways 2 3 The third place team won half of what the second place team won. How much did the third place team win? A $150 B $300 C $450 D $600 3 4 The winners won twice what the second place team won. What did the winning team take home? A $150 B $300 C $450 D $600 4 5 Manuel and Linda worked together on a poster for a science project. Their combined time on the project was 3 12 hours. Linda spent 10% more time on the project than Manuel. How much time did Linda spend on the project? A 1 h 50 min B 1 h 35 min C 1 h 30 min D 1 h 20 min 5 30 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill For Questions 3 and 4, use the following information At the 12th Annual Roadkill Cookoff in Marlinton, the Pocahontas County Commissioners won $300 for being the second place team. Name Date Standards Practice OBJECTIVES MA. 7.2.2, 7.2.3, 7.2.6, 7.2.7, 7.2.13 1 Simply the expression 15x2 3x 18x 5x2. 2 Angelo is preparing a liquid mixture of fertilizer and weed killer to spray on his lawn. The dispenser can hold 1.8 gallons. Weed killer comes by the quart, fertilizer by the gallon. If he wants to use fertilizer and weed killer in a 10:1 ratio, what quantity of weed killer should be used per full dispenser? Round to the nearest tenth of a quart. 3 Pam and Eric are remodeling their home in Weirton. They want to replace the carpet in the living room, hallway, and bedroom (shaded areas), and panel one wall in the family room. Dining Room Kitchen 15 Bedroom 45 Living Room Family Room Wall to be panelled 15 25 30 Copyright © Glencoe/McGraw-Hill 60 Part A How many square feet of carpet will be used to cover the living room, hallway, and bedroom floors? Part B The family room has an eight foot ceiling. Paneling comes in four-by-eight-foot sheets, to be put up vertically. How many panels will be needed? WESTEST, Grade 7 31 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.3.1 Identify and construct angle-pairs (e.g., adjacent, complementary, supplementary, vertical). For Questions 1–3, use the figure. 1 How many angles are supplementary to GHJ? A 4 angles B 3 angles C 2 angles D 1 angle J 1 E 67 A H L K B 67 F 2 Which angle(s) are adjacent to GHJ? A GKL C BHK G N D M C 2 B GHA, AHK D GHA, JHK 3 Which angle is complementary to HBN ? A EBN B ABF C EBA D JBN 3 OBJECTIVE MA.7.3.2 Use a formula to determine the sum of the measures of the interior angles of a polygon. 1 2 What is the sum of the measures of the interior angles of a school crossing sign? A 540 B 450 C 360 D 180 2 3 A stop sign is a regular octagon. What is the measure of one of its interior angles? A 120 B 135 C 180 D 1,080 3 32 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill 1 The formula for the sum S of of the measures of the interior angles of an n-sided polygon is S 180(n 2). What is the sum of the measures of the interior angles of a hexagon? A 450 B 540 C 630 D 720 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.3.3 Use 2-dimensional representations of 3-dimensional objects to visualize and solve problems. Use the figure at the right for Questions 1–3. 1 If there are no hidden hollows, how many cubes are in the construction? A 6 cubes B 8 cubes C 9 cubes D 10 cubes 1 2 If each small cube has edges that are 1 centimeter long, what is the length of the largest cube you could make by using some or all of the small cubes in the figure? A 1 cm B 2 cm C 3 cm D 4 cm 2 3 If you paint all of the exposed faces of the small cubes, including those on the bottom, how many small faces will you paint? A 36 faces B 30 faces C 24 faces D 18 faces 3 OBJECTIVE MA.7.3.4 Identify and construct congruent segments and angles, perpendicular bisectors of segments and angle-bisectors. 1 Copyright © Glencoe/McGraw-Hill 1 What kind of geometric construction is shown? A B C D Constructing an angle congruent to a given angle Bisecting a segment Constructing a segment congruent to a given segment Bisecting an angle WESTEST, Grade 7 33 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.3.4 (continued) 2 What kind of geometric construction is shown? A Bisecting a line C Bisecting an arc B Bisecting an angle D Bisecting a segment 3 What is the next step in constructing an angle Y congruent to angle X? A 3 D Y X B A B C D 2 C Connect point Y and the arc labeled D. Place the compass point at B and open the compass to point A. Place the compass point at C and open the compass to point Y. Connect point C and the arc labeled D OBJECTIVE MA.7.3.5 Apply and demonstrate line symmetry. V C D M N 2 Which of the following real-world objects has a vertical line of symmetry? A Traffic stoplight (front view) B Automobile (side view) C Heads side of a nickel D A computer keyboard 34 WESTEST, Grade 7 1 2 Copyright © Glencoe/McGraw-Hill 1 Which of the following letters has a horizontal line of symmetry? A B Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.3.5 (continued) 3 3 For a point with coordinates (20, 18) in a coordinate plane, what are the coordinates of its reflection in the y-axis? A (20, 18) B (20, 18) C (20, 18) D (20, 0) OBJECTIVE MA.7.3.6 Apply transformations (rotations, reflections, translations) to plane figures using graph paper. 1 Which triangle do you obtain if you reflect ABC in the x-axis? 1 y B A x O C A y B B y O C x A A B O x C C D y Copyright © Glencoe/McGraw-Hill B x C C x O A O y A B 2 A square has vertices with coordinates (6, 1), (6, 5), (2, 1), and (2, 5). If the square is translated using (x, y) → (x 7, y 3), what are the coordinates of the image of (6, 1)? A (1, 2) B (1, 2) C (1, 4) D (1, 4) 2 WESTEST, Grade 7 35 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.3.6 (continued) 3 Which figure do you get if you rotate the figure at the right counterclockwise 270 degrees around the origin? 3 y x O A B y x O C y D y O x O y x O x OBJECTIVE MA.7.3.7 Solve ratio and proportion problems including scale drawings and similar polygons. For Questions 1 and 2, use the two similar trapezoids shown at the right. 30 cm 12 cm 18 cm 20 cm 1 B 60 cm, 30 cm D 60 cm, 40 cm 2 What is the ratio of the perimeter of the smaller trapezoid to the perimeter of the larger trapezoid? A 1:2 B 2:3 C 3:4 D 5:6 2 3 The lengths of the sides of four triangles are given below. All lengths are in centimeters. Two of the triangles are similar. Which triangles are they? Triangle 1: 15, 12, 9 Triangle 2: 20, 25, 15 Triangle 3: 12, 16, 24 Triangle 4: 22, 11, 12 A Triangles 1 and 2 B Triangles 2 and 3 C Triangles 3 and 4 D Triangles 2 and 4 3 36 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill 1 What are the lengths of the bases of the larger trapezoid? A 45 cm, 30 cm C 45 cm, 40 cm Name Date Standards Practice OBJECTIVES MA.7.3.1, MA.7.3.2, MA.7.3.3, MA.7.3.4, MA.7.3.5, MA.7.3.6, MA.7.3.7 1 How many lines of symmetry does a circle have? What point do all of these lines of symmetry have in common? 2 The triangle below is translated using (x, y) → (x 2, y 1). What are the coordinates of the vertices of the image triangle? y A O x C B 3 Traffic engineers in Charleston are considering the design of an intersection at which three roads will cross. | A F C d 70 c E X a b 30 D Copyright © Glencoe/McGraw-Hill B Part A If they design it as shown, what will be ma, mb, mc, and md? Part B Of a, b, c, and d, which are adjacent angles? Vertical angles? WESTEST, Grade 7 37 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Earth is not a perfect sphere, but its equator is almost a circle. If the radius of Earth at the equator is 6,378 kilometers, what is its circumference? Round to the nearest kilometer. A 127,796,483 km B 125,897 km C 80,148 km D 40,074 km 1 2 Water is typically considered comfortable for swimming if it is within a few degrees of 82 degrees Fahrenheit. What would a water temperature of 30 degrees Celsius be in Fahrenheit? A 54°F B 85°F C 86°F D 87°F 2 3 A geodesic dome is roughly a half-sphere. If the height at the center of a building built in the shape of a geodesic dome is 4 meters, what is its approximate volume? Round to a whole number. A 34 m3 B 50 m3 C 100 m3 D 134 m3 3 OBJECTIVE MA.7.4.2 Use the concept of volume for prisms, pyramids, and cylinders as the relationship between the area of the base and height. 1 The pyramid shown at the right has a square base and a volume of 32 cubic feet. What is the height of the pyramid? A 2 ft B 6 ft C 8 ft D 12 ft 38 WESTEST, Grade 7 1 4 ft Copyright © Glencoe/McGraw-Hill OBJECTIVE MA.7.4.1 Use and apply formulas in problem solving situations involving perimeter, circumference, area, surface area, distance and temperature (Celsius, Fahrenheit). Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.4.2 (continued) 2 The area of a base of a cylinder is 45 square centimeters. The height of the cylinder is 10 centimeters. What is the volume of the cylinder? A 225 cm3 B 450 cm3 C 4,500 cm3 D 15,904 cm3 3 What is the volume of the 4-meter section of air duct shown in the figure? A 320 m3 B 48 m3 C 1.92 m3 D 0.192 m3 2 3 4m 60 cm 80 cm OBJECTIVE MA.7.4.3 Use the Pythagorean Theorem to find the length of any side of a right triangle. Copyright © Glencoe/McGraw-Hill 1 What is the length a to the nearest tenth of a centimeter? A 8.7 cm B 7.5 cm C 3.9 cm D 3 cm 1 10 cm 2 A Martinsburg radio station is erecting a transmission tower 65 meters tall. Three guy wires must be attached at the top and anchored at positions 30 meters from the base. What is the length of each guy wire? Round to the nearest meter. A 31 m B 72 m C 95 m D 5,125 m 5 cm a 2 guy wire 65 m 30 m WESTEST, Grade 7 39 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.4.3 (continued) 3 Michelle followed computer directions to reach her destination. She traveled 35 miles due north, then due west for 12 miles. Had a direct route been available, what distance would she have traveled instead? A 23 mi B 35 mi C 37 mi D 47 mi 3 1 Jose and Carl are driving in Canada. They see a sign saying Toronto is 100 kilometers away. They then drive towards Toronto at 65 miles per hour for 30 minutes. About how many kilometers do they have left to go? (Hint: One mile is about 1.61 kilometers.) A 56.3 km B 47.7 km C 35 km D 32.5 km 1 2 Renée is from France. Outside her apartment window in Charleston she sees a bank display indicating the outdoor temperature is 55 degrees. She needs the temperature converted to Celsius in order to decide whether to wear a coat. What is the temperature in degrees Celsius? Round to the nearest tenth. A 65.5° Celsius B 48.3° Celsius C 12.8° Celsius D 5.5° Celsius 2 3 A rectangular plot of land is 300 yards by 550 yards. What is its area in square miles? Round to the nearest thousandth. B 0.053 mi2 A 0.006 mi2 C 5.3 mi2 D 281.25 mi2 3 4 In a science class, Shane is directed by a formula to include one third liter of water in a mixture. How many milliliters of water must he use? A 33.3 mL B 333.3 mL C 666.6 mL D 1,000 mL 4 40 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill OBJECTIVE MA.7.4.4 Convert units of measurement within and between customary and metric systems. Name Date Standards Practice OBJECTIVES MA.7.4.1, 7.4.2, 7.4.3, 7.4.4 1 An ocean freighter encounters a sailboat at sea. When the freighter is 2 miles from the A B sailboat, it turns to port and travels a half-circle around the sailboat. It then turns to port again and continues on its way. What extra distance did the freighter travel by honoring the “sailboat has the right of way” rule (ignoring the fact that if it had gone straight, it might have run into the sailboat)? Round to the nearest hundredth of a mile. 2 Roberta wants to have a banner made for her club in the shape of an isosceles triangle. How many square feet of fabric will be required for the banner? (Ignore the extra fabric required for hems.) Copyright © Glencoe/McGraw-Hill 3 2 ft 30 in. In 1965 NASA built a “Vehicle Assembly Building” (VAB). Its base is 158 meters wide by 218 meters long. The height of the building is 160 meters. Part A The VAB has one of the greatest enclosed volumes of any building in the world. If it were a rectangular prism with the above dimensions, what would be its volume? Part B The VAB’s sides have a mix of insulated aluminum panels and plastic panels. If the building were a prism with the above dimensions, and neglecting openings, how many square meters of siding would have been required? WESTEST, Grade 7 41 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.5.1 Determine experimental and theoretical probability of an event using appropriate technology. 1 The Morgantown high school football team gets to receive the first kickoff at the beginning of a game if it wins the coin toss. In a 12-game season, how many times are they likely to receive the first kickoff? A 3 games B 5 games C 4 games D 6 games 1 2 Suppose you spin both spinners shown below. You make a two-digit number by using the number from the first spinner as the tens digit and the number from the second spinner as the ones digit. What is the probability that the two-digit number you get will be evenly divisible by 11? 2 3 1 2 2 4 4 3 7 5 6 C 1 2 1 8 B D 1 6 1 12 3 Fourteen girls and 12 boys will try out for parts in a school play. Each person will have to read a few lines for the drama coach. If names are drawn at random, what is the probability that the first person in the tryout will be a girl? A C 1 14 7 13 B D 3 6 13 7 6 Copyright © Glencoe/McGraw-Hill A OBJECTIVE MA.7.5.2 Construct sample spaces by listing, tree diagrams, and frequency distribution tables to determine combinations and permutations. 1 Anne is going swimming with five friends. Three friends will ride with Anne in her car, and the other two will go in another car. In how many ways can she choose the three who will ride with her? A 3 ways B 6 ways C 10 ways D 12 ways 42 WESTEST, Grade 7 1 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.5.2 (continued) 2 The photographer for a high school yearbook asks 8 students to line up from left to right for a group photo. In how many ways can the students line up? A 256 ways B 512 ways C 20,160 ways D 40,320 ways 2 3 Juanita is selecting lunch items at a cafeteria. She will choose a meat dish, a vegetable, and a dessert. There are 4 meat dishes, 4 vegetables, and 3 desserts. Use a tree diagram to find how many lunches are possible. A 22 lunches B 24 lunches C 48 lunches D 96 lunches 3 OBJECTIVE MA.7.5.3 Collect, organize, graphically represent, and interpret data displays including: frequency distributions, line-plots, scatter plots, box and whiskers, and multiple-line graphs. Copyright © Glencoe/McGraw-Hill 1 Darlene made a frequency table of students in her class who got full credit for the questions on a five-question science test. Frank made a frequency table to show how many students got less than full credit. For which question is it most clear that the tables do not agree? Darlene (full credit) Question Tally Frequency 1 |||| | 06 2 |||| |||| 09 3 ||| 03 4 |||| |||| | 11 |||| 05 5 A Question 1 C Question 3 Frank (less than full credit) Question Tally Frequency 1 |||| |||| 09 2 |||| | 06 3 |||| |||| || 12 4 ||| 03 |||| |||| 10 5 B Question 2 D Question 4 2 About what percentage of the population is above the lower quartile? 19 36 7 0 5 1 2 45 58 10 15 20 25 30 35 40 45 50 55 60 A 100% B 75% C 50% D 25% WESTEST, Grade 7 43 Name Date Standards Practice Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. OBJECTIVE MA.7.5.3 (continued) 3 A shopping mall ice cream shop sells cones, sundaes, and cartons of ice cream. The graph shows information on sales of single-flavor ice cream cones for one Saturday morning. Which is a correct conclusion based on the graph? Vanilla Chocolate Pecan 3 Butterscotch Strawberry A 50% of the single-flavor cones sold were vanilla, strawberry, or butterscotch. B The shop always sells more chocolate ice cream than any other flavor. C 35% of the single-flavor cones sold were chocolate. D Few people like butterscotch ice cream. OBJECTIVE MA.7.5.4 Solve application problems involving measures of central tendency (mean, median, mode) and dispersion (range) from data, graphs, tables, and experiments using appropriate technology. The data list gives finishing times to the nearest hundredth of a second for the breast stroke event at a swim meet. Use the data for Questions 1–3. 48.10 47.72 49.13 51.92 43.10 47.28 48.02 2 What is the median time? A 47.72 s C 48.01 s 3 What is the range? A 9.00 s C 7.64 s 44 WESTEST, Grade 7 1 B 47.72 s D 41.90 s 2 B 47.90 s D 48.02 s 3 B 8.82 s D 0.08 s Copyright © Glencoe/McGraw-Hill 1 What is the mean time? A 47.90 s C 43.10 s Name Date Standards Practice OBJECTIVES MA.7.5.1, MA.7.5.2, MA.7.5.3, MA.7.5.4 1 Throughout April at a West Virginia mountain resort, on average it snows 6 days. What is the experimental probability that it will snow on April 1 of next year? Give your answer to the nearest percent. 2 Here is a graph of sunrise and sunset times in Charleston for 2004. What date has the closest to exactly twelve hours of daylight? March 2004 Sunrise/Sunset Time of Day 6:50 6:40 Sunrise (A.M.) Sunset (P.M.) 6:30 6:20 6:10 12 16 18 Date 20 22 24 The heights in inches of the first 20 people attending the opening of a new roller coaster ride are given below. The ride has a minimum height limit of 4 feet 8 inches. 62, 66, 63, 68, 74, 62, 56, 65, 60, 56 59, 67, 70, 70, 68, 69, 59, 60, 70, 72 Part A Create a frequency distribution table of the heights of those present who will be allowed to ride the roller coaster. Use intervals of 5 inches. Copyright © Glencoe/McGraw-Hill 3 14 Part B Identify the range, mean, median, and mode of all those who were allowed to ride. WESTEST, Grade 7 45 Name Date Sample Test Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 1 Which angle(s) is/are vertical to LKM? G 1 J H B L K M A LKH C MKF B HKF, GHB D HKF 2 A police detective needs to make an imprint of an automobile tire to compare with a partial tire track found at a crime scene. The outer diameter of the tire to be examined measures 24 inches. How long must the imprint be for the detective to get exactly one entire tire print? A 24 in. B 122 in. C 144 in. D 1442 in. 2 3 Mrs. Viola is having a new rectangular cement driveway built. If the distance from the street to her garage is 30 feet, the garage opening is 18 feet wide, and the cement is to be poured to a depth of six inches, what is the volume of cement required? A 90 ft3 B 108 ft3 3 C 10 yd D 270 yd3 3 4 Evaluate 4x2 x |1 2x| for x 3. A 38 B 40 C 44 D 46 4 5 Raul is planning his purchase of a mountain bicycle. He must chose between 24-inch or 26-inch tires, decide on 18 or 21 gears, and select an aluminum or a steel frame. How many different bicycles can he select from if he considers only these features? A 4 bicycles B 6 bicycles C 7 bicycles D 8 bicycles 5 46 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill F Go on Name Date Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 6 The formula to convert degrees Celsius to degrees Kelvin is K C 273.15. Find the values of a and b needed to complete the table. Kelvin Celsius A B C D 0 a 100 173.15 200 b 300 26.85 a 273.15, b 473.15 a 32, b 392 a 273.15, b 73.15 a 273.15, b 73.15 7 Solve 45y 12 for y. Copyright © Glencoe/McGraw-Hill A B C D 6 7 12 14 15 20 8 The price of regular gasoline at the pump in Charleston is $1.399 per gallon. If your mother tops off her car’s tank with 614 gallons, what must she pay assuming the cost is rounded up to the nearest whole cent? A $8.67 B $8.69 C $8.75 D $8.95 8 9 Alan throws ten darts at a dartboard, hitting it every time. Of the ten darts, two land in the bulls eye. What is the experimental probability that his next dart will miss the bulls eye? A 0.5 B 0.7 C 0.8 D 0.9 9 10 Simplify 2(x2)3 ( |6(x)5| 3). Assume x is nonnegative. A 4x5 3 B 2x6 6x5 3 C x6 6x5 3 D 2x6 6x5 3 10 Go on WESTEST, Grade 7 47 Name Date Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 11 To use mental math to calculate (5 48) (5 2), which property would be most useful? A Distributive Property B Associative Property of Multiplication C Commutative Property of Addition D Identity Property of Multiplication 11 12 A factory in Martinsburg produces 17-inch plastic chair legs. To be usable, the legs must be no shorter than 16.95 inches and no longer than 17.05 inches. In the last production run, 10 legs were selected at random. Their lengths in inches are shown in the table. What is the experimental probability that the next leg manufactured will be within specifications? 12 16.93 16.98 17.01 17.06 16.97 17.00 A 0.9 C 0.7 16.96 17.03 B 0.8 D 0.6 13 A locally-owned company opened shoe stores in two new shopping malls a year ago. Which kind of data display would be most helpful in comparing the sales at the new stores over the past twelve months? A frequency distribution B line plot C box-and-whisker plot D multiple-line graph 13 14 Which inequality is true? 14 A 1 5 14 C 7.12 7.2 B 6 7 D 22 7 281 15 The heights of two trees are proportional to their diameters. The first tree is 30 feet tall and is 2 feet in diameter. The second tree is 5 feet in diameter. How tall is the second tree? A 75 ft B 65 ft C 60 ft D 15 ft 48 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill 17.02 17.01 15 Go on Name Date Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 16 What is the slope of line n? 16 y n O 1 2 A 1 B C 1 D undefined 17 Scores on a make-up math test were 82, 93, 76, 98, 74, 62, 87, and 88. What was the mean score? A 82.5 B 84.5 C 87.4 D 94.3 17 18 Which expression is described by “the sum of a number squared plus the square root of the product of the first number squared and a second number”? 18 a2b A C a2 a2b Copyright © Glencoe/McGraw-Hill x B a2 a2b 2 ab D a 19 The volume of a cylinder is 32 cubic units. The area of its base is 4 square units. What is the height of the cylinder? A 4 units B 8 units C 16 units D 28 units 19 20 The diagonals of a rhombus are perpendicular and bisect each other. The lengths of the diagonals of the rhombus in the figure are 10 feet and 18 feet. About how long are the sides of the rhombus? 20 A 10.0 ft C 10.7 ft B 10.3 ft D 10.8 ft Go on WESTEST, Grade 7 49 Name Date Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 3 y 5 19. 21 Solve 5 21 A y 40 B y 40 C y 730 D y 40 22 Use mental math to calculate 25 36 . A 11 B 14 C 25 D 30 22 23 The figure shown below was obtained by removing small cubes from a cube that originally had 3 small cubes along each edge. How many small cubes were removed? 23 A 5 cubes C 19 cubes B 16 cubes D 53 cubes 24 Which sides of the parallelogram are congruent? D A C B only A B and C D only A D and B C A B , C D , A D , and BC A B and CD , A D and B C 25 A triangle with vertices (5, 6), (1, 3), and (3, 4) is reflected in the y-axis. What are the coordinates of the vertices of the image triangle? A (5, 6), (1, 3), (3, 4) B (5, 6), (1, 3), (3, 4) C (5, 6), (1, 3), (3, 4) D (5, 6), (1, 3), (3, 4) 50 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill A B C D 24 25 Go on Name Date Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 26 The table shows rain-gauge readings taken at 10-minute intervals during a recent storm. Which graph shows the cumulative rainfall? C B 16 12 8 4 0 10 20 30 Time (min) 40 Time (min) 16 12 8 4 0 10 20 30 40 Cumulative Rainfall (mm) Copyright © Glencoe/McGraw-Hill 10 3.5 D Cumulative Rainfall (mm) 0 0 Cumulative Rainfall (mm) A Cumulative Rainfall (mm) Time Since Rain Started (min) Total Amount of Rain (mm) 20 7 30 10.5 26 40 14 16 12 8 4 0 5 10 15 Time (min) 20 6 2 4 Time (min) 8 16 12 8 4 0 27 West Virginia’s highest peak, Spruce Knob, is 4,861 feet above sea level. In a scale drawing, the height of Spruce Knob is 11 inches. What is the appropriate scale of the drawing? A 1:5,300 B 1:4,500 C 1:2,300 D 1:700 27 28 The box-and-whisker plot summarizes automobile speeds measured on a residential street in Weirton. What is the range of the data? A 38 mph B 37 mph 28 10 18 27 3 0 40 5 10 15 20 25 30 35 40 45 C 28 mph D 20 mph 29 The doctor measures Anne’s height, and tells her it is 1.55 meters. One meter equals about 39.37 inches. How tall is she in inches? Answer to the nearest inch. A 61 in. B 60 in. C 59 in. D 58 in. 29 Go on WESTEST, Grade 7 51 Name Date Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. ax(x 2) 30 Simplify the following: 2 30 a x2 2x a C a(x2 2x) B x2 2x D x 2x a 31 In July, 2003 the Voyager 1 spacecraft was 13.3 billion kilometers from the Sun. Voyager 2 was 10.6 billion kilometers from the Sun. How much further was Voyager 1 than Voyager 2 from the Sun? B 2.7 108 km A 2.7 106 km C 2.7 109 km D 2.7 1012 km 31 32 What is the sum of the measures of the interior angles of the polygon? 32 A 540 C 900 B 720 D 1,080 33 The land area of West Virginia is 24,087 square miles. In the United States Census of April 2000, the population of West Virginia was 1,808,344. What was the approximate number of people per square mile in West Virginia at that time? A 7.5 people per mi2 B 75 people per mi2 C 76 people per mi2 D 80 people per mi2 33 34 Which is not a rational number? 34 A 100 C 1 4 B 45 9 D 2 35 What is the next number in the pattern? 2, 5, 12, 19, … A 26 B 25 C 24 D 23 52 WESTEST, Grade 7 Copyright © Glencoe/McGraw-Hill A 35 Go on Name Date Sample Test (continued) Read each question and choose the best answer. Then write the letter for the answer you have chosen in the blank at the right of each question. 36 The Murphy family will tile their kitchen floor with tiles like the one shown in the figure. How many lines of symmetry does the tile have? A 2 lines C 4 lines 36 B 3 lines D 6 lines 37 What is the Greatest Common Factor of these expressions: 24x3, 18x2, 30x? A 2x B 3x C 6x D 2x2 37 38 Jillian wants to take a jog around the pond. It takes her 5 minutes to reach the pond via the path from her house. If she stays on the path and maintains the same speed all the way, estimate how long will it take her from the time she leaves her home until she returns to it. A 30 min B 40 min C 55 min D 1 h 10 min 38 Pond Path House Copyright © Glencoe/McGraw-Hill 39 A shopkeeper standing in his doorway spots a bird on top of the building across the street. His eye is six feet above the ground. How far away is the bird, to the nearest foot? 39 d 20 ft 6 ft 60 ft A 60 ft C 63 ft B 62 ft D 64 ft 40 The finishing times, in seconds, for a horse race were 119.4, 119.97, 120.0, 120.2, 120.2, 120.6, and 120.9. What is the mode? A 119.4 s B 120.2 s C 120.6 s D 120.9 s 40 Go on WESTEST, Grade 7 53 Name Date Sample Test (continued) 41 At sundown last night, the temperature was 50 degrees Fahrenheit. At midnight it was 12 degrees colder. At 4 A.M. it was 6 degrees colder than that, but by 10 A.M. it had risen 14 degrees from the 4 A.M. measurement. From 10 A.M. until 2 P.M., the temperature rose another 5 degrees, then decreased 12 degrees by sundown. What was the temperature at sundown today? 42 Find the LCM of the denominators of the fractions 170 , 154 , and 33 . 35 43 What is the sum of these fractions? If you rotate the figure counterclockwise 90 degrees around the origin, what are the coordinates of the vertices of the image? y x Copyright © Glencoe/McGraw-Hill O Go on 54 WESTEST, Grade 7 Name Date Sample Test 44 (continued) Shannon and Dennis are refurbishing an old barn. 15 ft 20 ft 60 ft 25 ft Part A The roof needs new shingles. What is the surface area of the roof? Part B The exterior sides need paint. What is the surface area of the four sides? Note that two sides have triangular portions. Copyright © Glencoe/McGraw-Hill 45 Louis is designing a game. A player flips a marker onto the game board and gets the number of points on the box. Markers land randomly on the board, and each square is equal in size to the other squares. 0 2 0 2 10 2 0 2 0 Part A What is the probability of getting a 0 on any one flip? A 2? A 10? Part B If a player flips a marker onto the board 100 times, what is his most likely total score? STOP WESTEST, Grade 7 55

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