Sample Word Problems to Make a Video or Animation For 1. Karen jogs at a steady pace up a hill in her neighborhood. She then runs down the hill, and her speed increases. Which graph best describes this situation? A B C D 2. Which situation is best represented by the function f (x), where f (x) = 12x + 5? A An office-supply store sells x boxes of ballpoint pens that contain a dozen pens per box for $5 each. B An Olympic swimmer trains by swimming 12 kilometers on each of x weekdays and 5 kilometers on each day of the weekend. C An algebra quiz has x problems worth 12 points each plus 5 extra-credit problems worth 5 points each. D A company sells x baseball caps for $12 each and charges a $5 shipping fee. 3. Scientists developed the linear model below to show the relationship between altitude, or elevation above sea level (0 feet), and air temperature. According to the model, what would be the air temperature at an altitude of 0 feet? A 16°F B 45°F C 59°F D 77°F 4. On the map below, First Avenue and Second Avenue are parallel. A city planner proposes to locate a small garden and park on the triangular island formed by the intersections of four streets shown below. 1st Ave 2nd Ave What are the measures of the three angles of the garden? A 90°, 65°, 25° B 90°, 50°, 40° C 90°, 60°, 30° D 130°, 40°, 10° 4. The figure below shows the positions of a surveying crew measuring the distance to a tree across the river. Which of the following best represents the measure of TAP? A 58° B 69° C 90° D 122° 4. The regular octagon below shows selected positions on a combination lock. The dial of the lock is turned 90° clockwise and then 45° counterclockwise. Which pair of points can describe the starting and ending points of a marker on the dial of this lock? A T to U B S to V C W to V D Z to W 5. Mr. Ryan is flying his single-engine plane at an altitude of 2400 feet. He sees a cornfield at an angle of depression of 30°. What is his approximate horizontal distance from the cornfield at this point? A 1200 ft B 3394 ft C 4157 ft D 4800 ft 6. A kite string is 220 feet long from the kite to the ground. The string makes a 45° angle with the ground. About how high off the ground is the kite? A 110 ft B 127 ft C 156 ft D 311 ft 7. A coordinate grid is placed over a map. City A is located at (−3, 2), and City B is located at (4, 8). If City C is at the midpoint between City A and City B, which is closest to the distance in coordinate units from City A to City C? A 4.61 units B 6.52 units C 9.22 units D 21.25 units 8. Mr. García built a rectangular deck in his backyard. The deck was 16 feet long and 12 feet wide. What was the length, in feet, of the diagonal of the rectangular deck? 9. Jeff used the indirect method of measurement to find the height of a flagpole. He first placed a mirror on the ground 98 feet from the flagpole. The dimensions Jeff measured are shown in the drawing. What is the approximate height of the flagpole? A 20.5 ft B 37.2 ft C 258.4 ft D 618.8 ft 10. A 12- by 16-foot rectangular floor will be covered by square tiles that measure 2 feet on each side. If the tiles are not cut, how many of them will be needed to cover the floor? A 192 B 48 C 96 D 14 11. Mrs. Lee bought a small rectangular box that contains 10 tightly packaged erasers shaped like rectangular prisms, as shown below. What is the approximate volume in cubic centimeters of this rectangular box? 12. Look at the drawing of a volleyball shown below. Which is closest to the volume of this volleyball? 13. Mr. Bergman built a rectangular sandbox for his children, as shown below. If each 50-pound bag contains approximately 0.70 cubic foot of sand, which is closest to the number of bags of sand that Mr. Bergman used to completely fill this sandbox? A 81 B 19 C 972 D 116 14. Steven has a cylindrical fish tank with a diameter of 8 inches and a height of 14 inches. He placed some rocks that took up 50 cubic inches at the bottom of the tank. Then he filled the tank with springwater to 2 inches from the top. Which is the best strategy for determining the volume of water the fish has for swimming? F π(8)2(14) – 50 G π(8)2(14 − 2) – 50 H π(4)2(14 − 2) – 50 J π(14 − 2)2(4) − 50 15. Ying Yu bought a rectangular box to display her doll collection. She decided to exchange the box for a similar one that had double its dimensions. How does the volume of the larger rectangular box compare to the volume of the smaller box? A The volume is six times as large. B The volume is eight times as large. C The volume is four times as large. D The volume is twice as large. 16.The figure below shows the dimensions of a section of Mr. Green’s garden that he will use for planting flowers. What is the area of Mr. Green’s garden that he will use for planting flowers? A 42 ft2 B 30 ft2 C 39 ft2 D 24 ft2 17. The figure below shows a CD in its rectangular storage case. Which is closest to the area of the storage case not occupied by the CD? A 55 cm2 B 46 cm2 C 51 cm2 D 60 cm2 18. Henry built a wooden storage shed in the shape of a rectangular prism for his tools. The figure below shows the dimensions of the storage shed. If Henry plans to paint only the top, front, left, and right sides of his shed, which is closest to the surface area that will be painted? A 121 ft2 B 181 ft2 C 154 ft2 D 91 ft2 19. Look at the diagram below. When the door handle is pushed down to open the door, it makes a 45° angle with its former position. What is the approximate arc length of the path traveled by the outside end of the door handle when the handle is pushed down? A 34.56 in. B 11.88 in. C 4.32 in. D 2.16 in. 20. A diagram of a power/volume control knob on a stereo is shown below. 11 When the stereo is turned on and the knob is turned to a volume level of 5, the knob is rotated 100° from its off position. What is the approximate arc length of the path traveled by the knob’s rotation from the off position to a volume level of 5? A 545 mm B 157 mm C 22 mm D 44 mm 21. Look at the solid sphere and the cylinder containing water shown in Figure 1. Figure 2 shows the sphere submerged in the water inside the cylinder. Which is the closest to the height of the water in Figure 2? A 13 cm B 17 cm C 15 cm D 11 cm 22. A cube-shaped piece of playground equipment has a cylindrical portion removed, as shown in the diagram. The diameter of the opening is 5 feet. What is the approximate volume of the remaining portion of the cube? A 255 ft3 B 122 ft3 C 98 ft3 D 28 ft3

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