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Name _______________________ Q3 Benchmark_6 Core_14-15 1. Which expression is equivalent to 4(x – 4)? A. 4x – 16 5 A new roller coaster requires people to be taller . than 54 inches to ride. Which number line shows the heights of the people allowed to ride the roller coaster? A . B. 4x + 16 C. 4x – 8 B . D. 4x – 4 C. 2. Which expression represents the area of the rectangle below? D. 6. What is the value of A. 8x + 3 B. 8x + 9 C. 12x + 3 A. B. C. ? D. 1 7. Which value for m would make the inequality true? D. 12x + 18 A. 34 3. What is the value of the expression 6.4 + 8.4 ÷ 2 + 32? B. 33 A. 16.4 C. 5 B. 16.6 D. 4 C. 19.6 4. Which expression is equivalent to (8 – 2)2 + (7 – 3)2? 8. Which value for p would make the inequality p + 0.34 ≥ 0.7 true? A. 0.25 A. 12 + 8 B. 0.3 B. 36 + 16 C. 0.35 C. (64 – 4) + (49 – 9) D. 0.4 D. (10)2 Q3 Benchmark_6 Core_14-15 Page 1/7 What is the solution to the equation below? 9. 13. A. 1 B. C. Claudia’s car averages 24 miles per gallon of gasoline. Which expression represents the number of gallons of gasoline used when Claudia drives n miles? A. n + 24 B. n − 24 C. n × 24 D. n ÷ 24 14. A student is selling bracelets to raise money for charity. The chart shows how much money he collects when he sells various numbers of bracelets.Which equation best represents the relationship between the number of bracelets sold, b, and the amount of money raised, m? D. 2 10. Which graph represents a solution set for m ≤ –1? A. B. C. A. m = 4 There are 45 crackers on a plate. Chris 11. ate of the crackers. What equation represents how many crackers, x, Chris ate? B. m = 4b C. m = b + 6 D. m = b + 30 15. Lucy and her friends are selling boxes of cookies. The equation shows the amount of money, y, collected for x boxes of cookies sold. A. Which statement is true? B. A. As the number of boxes sold increases by one unit, the total amount of money earned decreases by $18. C. B. As the number of boxes sold increases by 18 units, the total amount of money earned decreases by $1. D. 12. C. As the number of boxes sold increases by one unit, the total amount of money earned increases by $18. What is the area of a rectangle when l=33and w=24? A. 432 B. 144 C. 72 D. 36 Q3 Benchmark_6 Core_14-15 D. As the number of boxes sold increases by 18 units, the total amount of money earned increases by $1. Page 2/7 Q3 Benchmark_6 Core_14-15 Page 3/7 16. Derek drew a picture of the stop sign shown in this diagram. What is the area, in square inches, of Derek’s stop sign? 338 A. C. 478 19. Mrs. Perry has a new washing machine with the measurements shown. B. 380 What is the volume of space occupied by the washing machine? D. A. cubic inches B. 810 cubic inches 576 17. A camera company packs each camera in a cubeshaped box with side lengths of ft. Then the company ships the cameras in a container with dimensions of ft by ft by ft. What is the maximum number of camera boxes that will fit in the container? A. 7 B. 8 C. 12 D. 18 C. cubic inches D. 20,250 cubic inches 20. What is the perimeter of the figure with vertices at coordinates (0, 0), (0, 6), (4, 0), and (4, 6)? 18. Triangle LMN is shown below. A. 10 units B. 16 units C. 20 units D. 24 units 21. Find the surface area of the triangular prism using its net. The triangular sides are isosceles triangles. What is the area of triangle LMN? A. 294 in.2 B. 490 in.2 A. 48 cm2 C. 588 in.2 C. 96 cm D. 980 in. 2 Q3 Benchmark_6 Core_14-15 Page 4/7 2 B. 84 cm2 D. 108 cm2 22. Josh ran miles around a track. Each lap around the track is mile. How many laps around the track did Josh run? 26. Which list orders the numbers from least to greatest? A. 5, -6, │-7│ A. 8 laps B. │-7│ , 5, -6, B. 11 laps C. │-7│ , -6, 5 C. 12 laps D. -6, 5, │-7│ 23. Mrs. Smith went to the grocery store and bought the fruit below. 2.86 pounds of apples 4.5 pounds of oranges 1.75 pounds of grapes 2.33 pounds of bananas How many total pounds of fruit did Mrs. Smith buy? 27 Which thermometer reads 20 degrees below zero? . A. B. A. 11.44 B. 9.34 C. 7.39 C. D. 24. A school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping. How much did they make selling balloons? A. $298.08 B. $289.16 C. $285.09 D. $202.42 25. Sean rewrote the expression 40 + 48 He found the greatest common factor of 40 and 48. Then he multiplied the sum of the two remaining quotients by the greatest common factor. What is Sean’s new equivalent expression? A. 2(20 + 24) B. 4(10 + 12) C. 8(5 + 6) D. 11(3 + 5) 28. What is the opposite of a negative number? A. a positive number B. a negative number C. one-half of the number D. one-tenth of the number Q3 Benchmark_6 Core_14-15 Page 5/7 32. Badwater Basin located in Death Valley National Park in California has an elevation of –282 feet. Which equation best describes the distance from this elevation to sea level? 29. Which point on the graph below is at coordinate (4, –6)? A. B. C. A. W C. Y B. X D. D. Z 33. In rectangle ABCD, point A has coordinates (-3,2). What could be the coordinates of points B, C, and D? 30. Which statement includes the number with the greatest absolute value? A. B(-9, 2), C(-3, -2), D(-9, -4) A. Maria receives $14 in a card for her birthday. B. B(-3, -4), C(3, -4), D(3, 2) B. Scott owes his brother $20 that he borrowed. C. B(-3, -4), C(2, -3), D(2, 2) C. Teresa’s bank account has a balance of negative $17. D. B(-3, -8), C(3, 2), D(3, 8) D. Walt earned $8 for walking the dog all week for his neighbor. 31. In a recent survey of fish owners, people were asked to list the colors of fish they own. of the people own a red fish. A recycling business estimates that it recycles 15 34. plastic bottles for every 6 glass bottles. What is the ratio of plastic bottles to both types of bottles that get recycled? of the people own a green fish. of the people own a brown fish. Which color of fish was owned by the greatest number of people? A. red B. green C. brown Q3 Benchmark_6 Core_14-15 A. 2:5 B. 5:2 C. 5:7 D. 7:5 35. The table shows the number of pets owned by students in a class. Students’ Pets Animal Number dog 8 cat 6 fish 10 What is the ratio of the number of fish to the total number of cats and dogs? Page 6/7 A. 5 : 3 B. 5 : 4 C. 5 : 7 D. 5 : 12 36. Amy received $51 for selling 68 candy bars for a school fundraiser. At what rate was Amy selling each candy bar? A. $.75 C. $1.33 40. A lamp has a height of 28 inches. About how many centimeters tall is the lamp? (One inch is approximately 2.5 centimeters.) B. $.78 A. 11 centimeters D. $1.70 B. 20 centimeters 37. Bob, Jason, and Chris each have a piece of rope. Bob has 8.58 meters of rope. Jason has 4.42 meters of rope. Chris has 3.91 meters of rope. They tie knots to connect the three ropes together. They use 0.23 meter of rope for each of the two knots. About how many feet long is the final piece of rope? (One foot is approximately 0.3 meter.) A. 5 feet C. 50 feet C. 52 centimeters D. 70 centimeters B. 15 feet D. 55 feet 38. A pipe has a leak that fills 1 bucket in 30 minutes. At this rate, how long will it take to fill 6 buckets? A. 2 hours B. 3 hours C. 6 hours D. 12 hours 39. The graph below shows the percent of times a family ate at different restaurants in a year. The family ate at MacGregor’s 27 times. How many times did the family eat at restaurants in a year? A. 43 B. 45 C. 60 D. 67 Q3 Benchmark_6 Core_14-15 Page 7/7