SAMPLE EXAM Double Block Algebra Name _____________________________________ Block __________ Directions: True or False?? If False explain why. 1. ________ The directions for this test tell you to just answer True or False. 2. ________ When combining like terms, if signs are the same you subtract. 3. ________ To multiply fractions you must find a common denominator. 4. ________ Absolute value is the distance from zero. 5. ________ An ordered pair is made up of the y-value, followed by the x-value: (y, x). Directions: Multiple Choice. Choose the BEST option. 6. The directions tell you that there is(are) ____ choice(s) for each multiple choice question. a. 1 b. 2 c. 3 d. multiple 7. Identify the property: 7 3 2 7 2 3 a. Associative b. Commutative c. Distributive d. Multiplicative 8. Which is an example of the Associative Property? a. 3 8 2a 3 2a 8 b. 3 8 2a 3 8 2a c. 3 8 2a 11 2a d. 3 8 2a 3 8 2a 9. Identify the property: 4 x 8 4 x 32 a. Associative b. Commutative c. Distributive d. Substitution 10. If 5 = 3 + 2, then 3 + 2 = 5 is an example of the _____ property a. Additive b. Commutative c. Symmetric d. Transitive You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) Directions: Multiple Choice. Choose the BEST option. 11. Twice some number increased by 4 is written mathematically as: a. x2 + 4 b. x2(4) c. 2x(4) d. 2x + 4 e. None of these c. -2x + 6 d. -2 e. None of these 12. If f(x) = 3x + 6, then f(-2) = _____? a. 12 13. b. 0 What is the slope of the graphed line? a. 3 2 c. 3 2 b. 2 3 d. 2 3 14. What is the slope of a line that goes through the points (3, -2) and (-9, 2) 1 2 3 a. b. c. 3 d. e. None of these 3 3 2 15. A stereo normally sells for $125.00. A sale takes 15% off. What is the sale price? a. $18.75 b. $143.75 c. $106.25 Directions: Evaluate if a = 6, b = -2, c = -1 and d = 16. b c a 17. ac ab d. $124.85 e. None of these 1 2 18. 6d a b You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) Directions: Short Answer. 19. If the signs of 2 numbers are the same do you Add or Subtract? 20. When adding and subtracting, how do you know what the sign of the answer is? 21. When do you need to find a common denominator? 22. When you find a common denominator, does the numerator (top number) change before you add/subtract? 23. How are fractions divided? Directions: Simplify Completely. Do NOT use decimals. SHOW ALL WORK!! 24. 2 7 25. 93 39 27. 3 6 28. 5 7 5 6 1 30. 2 5 3 31. 33. 5 3 2 2 34. 1 3 2 2 3 5 5 6 26. 57 29. 6 1 5 3 12 32. 4 7 35. 3 7 8 12 You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) Directions: Simplify Completely. Do NOT use decimals. SHOW ALL WORK!! 36. 2 6 8 4 38. 2 5 8 18 3 37. 30 22 5 5 39. 9 3 42 3 2 22 Directions: Simplify Completely. If not possible write: I.S.F. (In Simplest Form) 40. 2x 5 4 x 3 41. 3b 1 2b 5 42. 11a 2 11a 2 12a 43. 3 x 2y 2y Directions: Solve for the variable. You must use Algebra. SHOW ALL WORK!! 44. 2 x 3 11 46. x 3 4 6 48. 8 x 7 x 2 1 45. 21 5 x 36 47. x 3 4 6 49. 5 x 3 7 x 5 50. x 4 1 6 51. 3 x 2x 5 4 3 52. 1x 2x 4 5 5 53. 3 x 2 1x 5 4 4 You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) Directions: Use the data below to answer questions #56 – 57 Age Group 1-10 11-20 21-30 31-40 41-50 Frequency Cumulative Frequency 8 9 5 12 8 54. Make a frequency graph of the data 55. Fill in the cumulative frequency column Directions: Use the data set below to answer questions #58 – 67 {16, 14, 5, 14, 13, 6, 2, 4, 14, 16, 6} 56. Range 57. Mean 58. Mode 59. Median 60. Upper Quartile 61. Lower Quartile 62. Low 63. High 64. Using the information above, create a box-and-whisker plot of the data. You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) Directions: 1Define the variable, 2write an ALGEBRAIC equation, & 3solve ALGEBRAICALLY!! 65. Mrs. Denzin ordered 5 pair of shoes on-line. Each pair of shoes cost the same amount. If Mrs. Denzin paid a total of $170 for the 5 pair of shoes plus $10 in shipping, how much did each pair cost? Definition: Equation: Answer: ______________ 66. Four consecutive odd numbers have a sum of 96. Find the numbers. Definitions: Equation: Answers: ______________ Directions: Solve using one of the following Algebraic formulas. x y a. % Proportion b. I = prt c. O O % New d. 1 1 x2 y 2 67. 5% of 40 is what? e. x1 y 2 x2 y 1 68. Jamie needs to earn $500 in interest in order to buy a car. If she puts $2,000 into an account that earns 8% interest, how long will it take for her to earn the $500 she needs? 69. In kick boxing, it is found that the force needed to break a board varies inversely with the length of the board. If it takes 5 pounds of pressure to break a board 2 feet long, how many pounds of pressure will it take to break a board that is 6 feet long? 70. A pitcher has given up 12 runs in 20 innings. If it is assumed that the number of runs varies directly as the number of innings, how many runs would he give up in 9 innings? You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) Directions: Use the mapping below to answer the following questions 71. State the Relation 72. State the Inverse 73. State the Domain 74. State the Range 3 2 5 1 0 75. Is the Relation a function? Why or why not? Directions: If f x 2x 3 find the following: 76. f(4) 77. f(-4) 78. 2[f(1)] 79. 1 f 3 3 Directions: Find the equation of the line described below 80. Find the equation of a line with a slope of -½, and a y-intercept of 8. 81. Find the equation of a line with a slope of 3 that passes through the point (-8, 6). 82. Find the equation of a line that passes through the points (4, 1) and (2, 0). 83. Find the equation of a line that passes through the points (4, -5) and (6, -9). You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) Directions: Identify the slope, y-int, and x-int, then graph the line using any method 84. x + y = 2 85. 2x – 3y = 6 Directions: Use SohCahToa to find the missing measurement. Round to the nearest tenth. 86. 87. 88. You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) SAMPLE EXAM ANSWER KEY Double Block Algebra 1. False 23. Keep 45. x = -3 67. % Proportion IS = 2 24. 5 46. x = 6 68. I = prt t = 3.125 years 25. -54 47. x = 21 69. Indirect Variation x = 1.67 lbs 26. 2 48. x = -1 70. Direct Variation x = 5.4 runs 27. 9 49. x = 5 71. {(3,5)(2,5)(1,5)(0,5)} 28. -12 50. x = 18 72. {(5,3)(5,2)(5,1)(5,0)} 51. x = 60 73. {3, 2, 1, 0} 52. x = -20 74. {5} 75. Yes, b/c each ”x” has one “y” partner If false, explain why 2. False Same signs = Add Change Flip 3. False Common denom for +/-‘ing fracs 4. True 5. False x, then y (x, y) 6. A 2 7. B 29. 8. D 30. -1 9. C 31. 10. C 32. 11. D 33. -4 5 1 3 3 7 7 53. x = -11 54. - See Back - 76. 5 55. - See Back - 77. -11 12. B 34. 13. C 35. 14. A 36. 14 58. 14 15. C 37. 36 59. 13 16. -18 38. 12 60. 14 17. 6 39. 18. 0 19. Add 20. Sign of Larger 30 5 24 11 56. 14 78. -2 57. 10 79. 1 1 80. y x 8 2 81. y 3 x 30 1 82. y x 1 2 61. 5 83. y 2 x 3 40. 6x + 8 41. 5b – 6 42. 12a 84. - See Back 85. - See Back 86. x = 6.8 yd 21. When +/-‘ing Fracs 62. 2 63. 16 64. - See Back 65. Def: x = 1 pair of shoes 43. 3x + 4y 87. x = 8.2 meters 22. Yes 44. x = 4 5x = 5 pair of shoes Equ: 5x + 10 = 170 Ans: x = $32 each 66. Def: x = 1st x+2=2nd, x+4=3rd, x+6=4th Equ: 4x + 12 = 96 Ans: x = 21, x+1=23, x+2=25, x+3=27 13 88. x = 53.1o You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) 54. Age Group 1-10 11-20 21-30 31-40 41-50 55. Frequency Cumulative Frequency 8 8 17 9 22 5 34 12 42 8 64. y 10 84. y = –x + 2 m = –1 b=2 b 2 m 8 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 x 2 4 6 8 10 x -2 -4 -6 -8 -10 y 2 x 2 3 2 m= 3 b = –2 b 3 m 85. y 10 8 6 4 2 -10 -8 -6 -4 -2 -2 -4 -6 -8 -10 You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com) TIPS FOR SEMESTER I EXAM Double Block Algebra REMEMBER: You can pass this exam. Take your time and use your brains. There are a lot of rules to remember, but if you remember the following, you’ll do fine. The Properties of Algebra Order of Operations - PEMDASDB Simplify expressions inside the Parenthesis Evaluate all Exponents Do all Multiplication & Division left to right Do all Addition & Subtraction left to right Simplify the Division Bar Additive [a + 0 = a] Associative [x+(y+z) = (x+y)+z] Commutative [x + y = y + x] Distributive [3(x + y) = 3x + 3y] Multiplicative [a • 1 = a] Reflexive [x = x] Substitution [replace/simplify] Symmetric [x = y SO y = x] Transitive [3 “=” signs] Zero [a • 0 = 0] +/–‘ing Fractions 1. Find the Common Denominator 2. Multiply numerators by # to get common denominator 3. Add new numerators 4. Keep Common Denominator */÷‘ing Fractions 1. Reduce any numerator with any denominator 2. Multiply straight across 3. Reduce if possible Leave answers in fraction form!! Solving Equations & Inequalities 1. Get rid of any parenthesis by distributing 2. Get rid of any division bars by multiplying both sides by denominator 3. “Pack the boxes” – Before moving, combine all like terms on each side of “=” sign 4. Get variables together by moving them all to one side by adding/subtracting 5. Get numbers together by moving them all to the other side by adding/subtracting 6. Get the variable all alone by multiplying/dividing by the coefficient of “x” Linear Equations & Inequalities Slope: a. Count b. m Point-Slope: (y – y1) = m(x – x1) up / down over y1 y 2 x1 x2 1. (x1, y1) is an ordered pair 2. m is slope 3. x & y are the variables. Slope Intercept: y = mx + b 1. 2. 3. m = slope b = y-intercept b = x-intercept m You created this PDF from an application that is not licensed to print to novaPDF printer (http://www.novapdf.com)

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