Draft Student Name: ______________________ Teacher: ______________________ Date: ___________ District: Revere Public Schools Assessment: 07 Mathematics Mathematics Quiz 2 Description: solving equations practice Form: 201 Draft 1. Lara has $12 in quarters. The equation below can be used to solve for q, the number of quarters Lara has. Which of the following describes a way to solve for q in one step? A. B. C. D. add 0.25 to both sides subtract 0.25 from both sides multiply both sides by 0.25 divide both sides by 0.25 2. What value of x makes the equation below true? 5x – 1 = 19 3. At Burger Shack, the price of 2 hamburgers and 2 orders of fries is equal to the price of 3 hamburgers, as modeled below. Which of the following equations models the price of an order of fries in terms of the price of a hamburger at Burger Shack? A. B. C. D. 4. Yoshi has some identical wooden cylinders and some identical wooden cubes. He balanced 3 of the cylinders with 2 of the cubes, as shown below. What is the number of cylinders needed to balance 16 cubes? A. B. C. D. 11 16 17 24 5. What value of a makes the equation below true? −12 + (−3a) = 0 A. B. C. D. 6. 5 4 −4 −5 Friday’s basketball game was attended by 160 Adams Middle School students, which was of the total student population. This relationship is represented in the equation below, where p stands for the total student population. p = 160 What is the total student population of Adams Middle School? 7. Which of the following statements describes a correct method for solving the equation below? 20 + 2w = 50 Add 20 to both sides of the equation, and then divide both sides by 2. Subtract 20 from both sides of the B. equation, and then divide both sides by 2. Divide both sides of the equation by C. 2, and then add 20 to both sides. Divide both sides of the equation by 2, D. and then subtract 20 from both sides. A. 8. If A. B. C. D. 9. what is n? 4 13 18 24 The equation expresses the relationship between temperature measured in degrees Fahrenheit (F) and temperature measured in degrees Celsius (C). What temperature in degrees Celsius is equivalent to 95 degrees Fahrenheit? A. B. C. D. 10. 30 32 35 38 What is the value of n if A. B. C. D. 11. Angelina has already read 25 pages in a book. She reads 5 more pages each day. The equation below can be used to find p, the total number of pages she reads after d days. What is the total number of pages Angelina reads after 15 more days? A. B. C. D. 30 50 100 125 12. Nancy has 2 more than twice the number of homework problems April has. Nancy has 20 homework problems. In the equation below, p is the number of homework problems April has. What is the value of p? A. B. C. D. 13. 8 9 10 12 What value of y will make the equation A. B. C. D. 2 5 8 10 14. This table represents the equation y = 2x + 1 x y 1 3 3 7 7 15 ? 21 For what value of x is A. B. C. D. 0 10 11 15 15. The formula for the perimeter of a rectangle is below is 24 ft. What is the width of the rectangle? A. B. C. D. 3 ft 4 ft 6 ft 8 ft 16. What is the value of x if A. B. C. D. 3 The perimeter of the rectangle 17. The difference between the weight of a hammer and the weight of a nail is 3.87 pounds. The hammer weighs 4.00 pounds. The weight of the nail can be calculated using the equation What is the weight of the nail (n)? A. B. C. D. 0.47 pound 0.38 pound 0.13 pound 0.03 pound 18. If A. B. C. D. what is the value of z? 54 15 8 6 19. Maria wants to solve the equation below. Which step would best help Maria solve the equation? A. B. C. D. add 2 to both sides subtract 2 from both sides subtract 2 from the left side, and add 2 to the right side add 2 to the left side, and subtract 2 from the right side 20. What is the value of x in the equation A. B. C. D. 1.8 2.2 6.4 7.4 21. If A. B. C. D. what is n? 3 4 12 18 22. What is the value of x if 2x + 5 = 17? A. B. C. D. x=6 x = 11 x = 12 x = 24 23. Ken needs to solve the equation below. Which statement explains the value of y that makes the equation true? –5.56, because 4.7 must be subtracted from both sides before moving the negative sign to the opposite side B. 5.56, because the only step needed is to subtract 4.7 from 10.35 –15.05, because 10.35 and 4.7 must be added before moving the negative sign to the opposite C. side D. 15.05, because the only step needed is to add 4.7 and 10.35 A. 24. Bobby solved for x in one step. Which step did Bobby use? A. B. C. D. 25. Which equation is equivalent to A. B. C. D. 26. What is the value of h if A. B. C. D. 28 2 13 39 27. If then what would be an equivalent equation? A. B. C. D. 28. Solve for x: A. B. C. D. 29. Find the value of x in the ordered pair A. B. C. D. 30. If A. B. C. D. then what does 25 49 64 121 equal? that is a solution for the equation
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