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Semester Exam Review 2017 - Independent and Dependent Quantities

This review covers topics such as independent and dependent quantities, constant rate of change, equations, additive vs multiplicative relationships, and more.

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Semester Exam Review 2017 - Independent and Dependent Quantities

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  1. Semester Exam Review 2017

  2. List the independent quantities in the table.

  3. ANSWER- list your x values 1, 2, 3, 4, 5

  4. The Mellan family paid $21 for 4 movie tickets. How much would they pay for 5 movie tickets?

  5. ANSWER The Mellan family paid $21 for 4 movie tickets. How much would they pay for 5 movie tickets? 21 ÷ 4 = $5.25 for one ticket $5.25 x 5 = $26.25

  6. The perimeter of a bulletin board is 245 feet. How many yards is the bulletin board?

  7. ANSWER The perimeter of a bulletin board is 245 feet. How many yards is the bulletin board? 3 ft = 1 yd 245 ÷ 3 = 81 yd

  8. List the dependent quantities.

  9. List the dependent quantities. Answer: 6.75, 11.25, 13.50, 18

  10. What is the constant rate of change?

  11. What is the constant rate of change? Answer: 6.75/3 which is 2.25

  12. Write an equation for the table below.

  13. Write an equation for the table below. Answer: 2.25h = c

  14. Is this an additive or multiplicative relationship? Justify.

  15. Is this an additive or multiplicative relationship? Justify. ANSWER: This is multiplicative because you can multiply the same number by the hours to get the cost. (There is a constant rate of change.)

  16. Mrs. Augenstein downloaded 350 pictures from her cell phone to her computer. These pictures took up 770 megabytes of space on her computer. Each picture took up the same amount of space. How many megabytes do 20 of these pictures take up?

  17. ANSWER Mrs. Augenstein downloaded 350 pictures from her cell phone to her computer. These pictures took up 770 megabytes of space on her computer. Each picture took up the same amount of space. How many megabytes do 20 of these pictures take up? = Cross product would be 770 x 20 = 15,400 15,400/350 = 44 megabytes

  18. The list shows the number of viewers of an online music video each day for 5 consecutive days. 9 36 1445762,304 By what factor did the number of viewers change each day from the first day to the fifth day? • 2,295 • 4 • 256 • 27

  19. ANSWER The list shows the number of viewers of an online music video each day for 5 consecutive days. 9 36 1445762,304 By what factor did the number of viewers change each day from the first day to the fifth day? • 2,295 • 4 • 256 • 27 X 4 X 4 X 4 X 4

  20. A small puppy dog weighed 350.2 grams at birth. At the end of 6 months, the puppy dog weighed 28 times its birth weight. How many grams did the puppy dog weigh at the end of 6 months?

  21. answer

  22. What is the prime factorization of 210?

  23. answer

  24. During week one of training, Edgar ran one lap around the school track in 210 seconds. During week two, he ran one lap in of last weeks’ time. Did Edgar’s time increase or decrease from week one to week 2?   F Decrease, because 210 - = 209 seconds G Decrease, because 210 × = 168 seconds H Increase, because 210 + = 2 seconds J Increase, because 210 ÷ = 280 seconds

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  26. Which expression is represented by the model below? • 4 × 4 • (-4) × 4 • -4 × (-4) • -4 × 0

  27. answer

  28. According to the table, which students completed the contest in the same amount of time?

  29. answer

  30. Johanna spelled 17 out of 20 words correctly on the spelling test. Express this number as a decimal.

  31. answer

  32. Write the temperatures in order from warmest to coldest?

  33. answer

  34. The transportation department is resurfacing 5 miles of roadways in Navarro County. The crew completes work on a mile section of roadway each hour. How many hours will it take to complete the resurfacing project?

  35. answer

  36. A team of four players competed in a golf contest. The names and scores of the players on the team are shown in the table. The team’s score is the sum of all scores in the table. What is the team’s score?

  37. answer

  38. What is the value of the expression shown below? -8(3) + (-9 ÷ 3)

  39. answer

  40. Which of the following expressions is equivalent to ÷ ? • × • × • × • ×

  41. answer

  42. Place the following numbers in the correct place on the graphic organizer.

  43. answer

  44. Which two expressions each represent ?

  45. answer

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