8.EE.8C [557872]StudentClassDate

1. Lincoln High School’s basketball team won the regional playoffs scoring a total of 60 points, not including free throws. The team made a total of 26 baskets; some were 2-point shots, and the rest were 3-point shots. How many 2-point shots did the team make?

A.   8

B. 12

C. 13

D. 18

2. Raul is choosing from two plans at his gym. He can either pay a set price for each visit, or he can buy a membership, which would have a lower price per visit in addition to a membership fee. Which model could be used to determine which plan would be less expensive based on the number of visits he makes?

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A.

B.

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C.

D.

3. Sammy picks blueberries and cherry tomatoes.

She earns $3.00 for each pint of blueberries and $2.00 for every pint of cherry tomatoes she picks.

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Sammy earned a total of $28.00. She picked twice as many pints of tomatoes as blueberries.

How many pints of blueberries did Sammy pick?

A. 4

B. 5

C. 7

D. 8

4. Natalie purchases a new car for $26,868. She pays $3,000 up front and agrees to make a $430 payment every month for 60 months.Natalie's car loses value as it gets older. A common accounting method to track this loss of value is straight-line depreciation. According to straight-line depreciation, Natalie's car loses $233 in value each month.After how many months will the money Natalie has paid equal the value of her car?

A. 60

B. 45

C. 41

D. 36

5. Shelley and Rachel live 252 miles apart. They leave their homes at the same time, planning to meet at a point between them. If

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Shelley travels 55 mph and Rachel travels 50 mph, how long will it take for them to meet?

A. 2.4 hours

B. 2.6 hours

C. 4.6 hours

D. 5 hours

6. The perimeter of a rectangular room is 52 feet. The length is 2 more than the width. What is the width of the room?

A. 10 feet

B. 12 feet

C. 13 feet

D. 14 feet

7. Jenny went to an office supply store and spent $21 (not including tax) on a total of 7 items (notepads and staplers). The cost of one notepad is $1, and the cost of one stapler is $8. How many notepads did Jenny buy?

A. 5

B. 4

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C. 3

D. 2

8. Ms. Smith designed a math test for her class that has x questions worth 3 points each and y questions worth 5 points each.

Part 1. Write a system of equations that could be used to find the number of questions of both types if the test has a total of 20 questions worth 90 points.

Part 2. Solve the system of equations to find the number of 3-point and 5-point questions in the test.

Part 3. Later, Ms. Smith thought that the test should have an equal number of 3-point and 5-point questions. She redesigned the test such that the number of 3-point and 5-point questions were equal and worth 80 points in all. Write a system of equations that represents the given situation.

Part 4. Solve the equations to find the total number of 3-point and 5-point questions in the new test.

Use words, numbers, and/or pictures to show your work.

9. John has $20 to spend at a used bookstore.

He wants to buy twice as many science fiction books as mystery books.

Mystery books sell for $1.25. Science fiction books sell for $1.75. Tax is included in the prices.

What is the greatest number of science fiction books that John can buy?

A. 5

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B. 7

C. 8

D. 10

10. The tickets to a high school hockey game cost either $6 or $11. A total of 450 tickets, worth $3,950, were sold. How much of the $3,950 was made from selling the $6 tickets?

A. $2,750

B. $1,200

C.    $250

D.    $200

11. A theater charges $5 for student tickets and $7 for adult tickets. They sold 75 tickets for a total of $425. Which set of equations can be used to determine x, the number of student tickets sold, and y, the number of adult tickets sold?

A.   x – y = 75  5x + 7y = 425

B.   x – y = 425  5x + 7y = 75

C.   x + y = 75

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  5x + 7y = 425

D.   x + y = 425  5x + 7y = 75

12. Two customers entered Kim’s bakery at the same time. One of them bought 7 bagels and 5 doughnuts, and paid $7.35. The other customer bought 4 bagels and 6 doughnuts, and paid $6.40. What is the price of each bagel and each doughnut?

A. A bagel costs $0.30, and a doughnut costs $1.05.

B. A bagel costs $0.55, and a doughnut costs $0.70.

C. A bagel costs $0.70, and a doughnut costs $0.55.

D. A bagel costs $1.05, and a doughnut costs $0.30.

13. Two panda bear cubs’ weights were recorded on three different days.

Part A  Using the data from the table, determine the rate of change of Panda W’s weight. Show your work.

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Part B  Write a linear equation based on the data to model Panda W’s weight, y, after x days.

Part C  Using data from the table, determine the rate of change of Panda Z’s weight. Show your work.

Part D  Write a linear equation based on the data to model Panda Z’s weight, y, after x days.

Part E  Solve the system of equations algebraically to determine the number of days before the panda cubs’ weights will be the same. Round your answer to the nearest day. Show your work.

14. The weights of two kittens were recorded on three consecutive days.

Part A Using data from the table, determine the rate of change of Rascal’s weight.

Part B Write a linear equation based on the data to model Rascal’s weight, y, after x days.

Part C Using data from the table, determine the rate of change of Snowball’s weight.

Part D Write a linear equation based on the data to model Snowball’s

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weight, y, after x days.

Part E Solve the system of equations algebraically to determine the number of days before the kitten weights will be the same.

15. On weekdays, a movie theater charges different rates for adults and children. If 3 adults and 2 children go for a movie on a weekday, the total cost of the tickets is $31. If 2 adults and 3 children go on a weekday, the total cost of the tickets is $29. If a group of adults and 6 children go to the movie theater on a weekday and pay $58 for tickets, how many adults are in this group?

A. 4

B. 5

C. 7

D. 8

16. Kathy has $2 less than 3 times the amount of money Jason has. Together, they have $34. How much money does Kathy have?

A. $8

B. $9

C. $25

D. $2

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6

17. A medium pizza at Benny’s Pizza costs $13.60 plus $2.50 for each topping. At Ricco’s Pizza, a medium pizza costs $14.60 plus $2 for each topping. Which statement is true regarding the price of a medium pizza at the two pizza restaurants?

A. A pizza with one topping will cost more at Benny's Pizza.

B. A pizza with two toppings will cost more at Ricco's Pizza.

C. A pizza with three toppings will cost less at Benny's Pizza.

D. A pizza with four toppings will cost less at Ricco's Pizza.

18. At a concession stand, Parker bought 3 hot dogs and 2 sodas for $12.15. Tax is included in the price. A hot dog cost $0.80 more than a soda. What is the cost of one hot dog and one soda?

A. $3.90

B. $4.70

C. $5.50

D. $7.30

19. Pencils cost $0.10 and erasers cost $0.25. Steve bought 5 more pencils than erasers. He spent a total of $1.55. How many erasers did Steve buy?

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A. 2

B. 3

C. 4

20. The length of a rectangle is 4 cm less than twice the width. The perimeter of the rectangle is 58 cm. What is the length of the rectangle?

A. 11 cm

B. 18 cm

C. 27 cm

D. 29 cm

21. Paul has a collection of nickels and dimes that has a total value of $12.50. He has 150 coins in all. How many dimes does Paul have?

A. 50

B. 75

C. 100

D. 134

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22. At a store, Claire bought 1 sandwich and 2 sodas for $5.50. A sandwich costs $1.00 more than a soda. How much did the sandwich cost?

A. $1.50

B. $2.00

C. $2.50

23. Mr. Griffin wants to print flyers. The printing company has two different methods to determine the cost of print jobs. One method charges $0.08 per flyer. The other method charges $0.04 per flyer and a one-time set-up fee of $16.00.

Part AWrite an equation for each method the printing company uses, where y is the total cost of the print job and x is the number of flyers.

Part BUsing the two equations from Part A, determine the number of flyers, x, where the cost, y, will be the same using either method. Show your work.

24. On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday?

A.   20

B.   80

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C. 360

D. 420

25. Sandra and Kate both have monthly cell phone plans that provide 500 minutes of free calls and data usage. Both plans charge for each additional minute that the user goes over during the month. Sandra’s plan costs $120 per month and has a fee of 10 cents for every extra minute beyond 500 that Sandra uses during the month. Kate’s plan costs $100 with a fee of 15 cents for every extra minute beyond 500 that Kate uses during the month.

Part A. Let x represent the number of extra minutes beyond 500 that Sandra or Kate uses during the month. Assume both Sandra and Kate use more than 500 minutes each month to determine the number of minutes over 500 that Sandra and Kate will use when their plans cost the same amount.Part B. For how many total minutes used during the month will Kate’s plan be less expensive than Sandra’s plan?

Use words, numbers, and/or pictures to show your work.

26. Isaac went on a bicycle trip from City A to City B and then bicycled back to City A along the same route. On the bicycle trip from City A to City B, Isaac rode his bicycle for a total of 3 hours. When Isaac bicycled back to City A, his average speed was 10 miles per hour slower and he rode for a total of 5 hours.

Part A  Let d represent the distance, in miles, of each leg of Isaac’s bicycle trip. Let r represent Isaac’s average bicycle speed for the trip from City A to City B. Write a system of equations to represent Isaac’s bicycle trip from City A to City B and his trip back to City A along the same route.

Part B  Fill in the table of values for each part of the trip.

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Part C  What were Isaac’s two average speeds, in miles per hour? Make sure to specify which average speed is for Isaac’s bicycle trip from City A to City B and which average speed is for his trip back to City A along the same route. Explain how to find the average speeds using the table of values.

27. Jerry is 4 years older than Hunter. The sum of their ages is 24. How old is Jerry?

A. 10 years old

B. 12 years old

C. 14 years old

28. Amanda bought sunflower bird seed for $2.39 per pound and millet bird seed for $2.99 per pound. She bought a total of 19 pounds of seed and

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paid $49.61.

Let f represent the number of pounds of sunflower seed and m represent the number of pounds of millet seed.

Part A Write an equation to represent the total pounds of seed Amanda bought.

Part B Write an equation to represent the total cost Amanda paid for the seed.

Part C Solve the system of equations to determine f, the number of pounds of sunflower seed, and m, the number of pounds of millet seed, Amanda bought. Show your work.

29. A rectangular swimming pool has a width that is 6 feet less than its length. The perimeter of the pool is 84 feet. What is the length of the pool?

A. 18 ft

B. 21 ft

C. 24 ft

D. 36 ft

30. Jesse bought some pencils and erasers for $5.20. He bought 10 more pencils than erasers. A pencil costs $0.15, and an eraser costs $0.22. How many erasers did Jesse buy?

A. 20

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B. 16

C. 14

D. 10

31. Jesse bought 10 more pencils than erasers. A pencil costs $0.15, and an eraser costs $0.22. He paid a total of $4.46. How many erasers did Jesse buy?

A. 8

B. 12

C. 18

D. 22

32. Tickets to a school basketball game cost $4 for students and $7 for adults. At the end of the night, 168 tickets are sold for a total of $861. How many student tickets are sold?

A.   29

B.   42

C.   63

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D.   105

33. Line M goes through the points and Which pair of points lies on a straight line that intersects Line M?

A.

B.

C.

D.

34. Seth has three more than twice as many baseball cards as Aaron. Together they have 33 baseball cards. How many cards does Seth have?

A. 10

B. 15

C. 18

D. 23

35. The length of a rectangle is 8 cm more than the width. The perimeter of the rectangle is 64 cm. What is the length of the rectangle?

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A. 20 cm

B. 22 cm

C. 24 cm

36. Ethan and Emily went shopping at a local farmers’ market. They both bought the same type of apples and potatoes at the same stand. Ethan paid $25.50 for 8 pounds of apples and 5 pounds of potatoes. Emily paid $18.50 to buy 3 pounds of apples and 10 pounds of potatoes. Which ordered pair represents the price per pound of apples, x, and potatoes, y?

A.

B.

C.

D.

37. Michelle’s age is 5 more than 3 times Ashley’s age. The sum of their ages is 49. How old is Ashley?

A. 11 years old

B. 15 years old

C. 18 years old

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38. A school chorus has 68 members. There are 16 more boys than girls. How many boys are in the chorus?

A. 26

B. 42

C. 50

39. Naomi caught half as many fish as Jack. Together, they caught 18 fish. How many fish did Jack catch?

A. 6

B. 9

C. 12

D. 15

40. The perimeter of a rectangle is 48 inches. The rectangle is twice as long as it is wide. What is the length of the rectangle?

A.   8 inches

B.   16 inches

C.   24 inches

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D.   32 inches

41. The length of a rectangle is 7 cm longer than the width. The perimeter of the rectangle is 46 cm. What is the length of the rectangle?

A. 15 cm

B. 16 cm

C. 20 cm

D. 23 cm

42. Jonathan and Amber went to the store together to buy school supplies. Jonathan purchased 2 notebooks and 5 elastic book covers for $6.75. Amber purchased 4 notebooks and 2 elastic book covers for $7.50. What is the price of a single notebook?

A. $0.75

B. $0.96

C. $1.50

D. $1.75

43. Sam read 3 times as many pages in his history textbook on

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Monday night as he read on Tuesday night. Altogether, he read 56 pages. How many pages did Sam read on Monday night?

A. 14

B. 19

C. 28

D. 42

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