ORANGE PUBLIC SCHOOLS

OFFICE OF CURRICULUM AND INSTRUCTION

OFFICE OF MATHEMATICS

GRADE 8

MATHEMATICS

Pre - Assessment

School Year 2013-2014

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Directions for Grade 8 Pre-Assessment

The Grade 8 Pre-Assessment is made up of 10 multiple choice questions,

and 15 constructed response questions.

Read each question carefully, including diagrams and graphs.

Work as rapidly as you can without sacrificing accuracy. Do not spend

too much time puzzling over a question that seems too difficult for you.

Answer the easier questions first; then return to the harder ones. Try to

answer every question, even if you have to guess.

Where necessary, you may use scratch paper for your work. Do not use

the margins of the test booklet to do scratch work.

FOR ALL QUESTIONS, YOU MUST RECORD ALL OF YOUR

ANSWERS ON THE TEST BOOKLET.

You may not use a calculator in any part of the test.

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Grade 8 Pre Assessment

1. Part A. What is the decimal equivalent of the fraction 9

20? Show your work.

Part B. Is the decimal equivalent of 9

20a repeating decimal or a terminating decimal?

Explain how you know.

2. What is the decimal equivalent of -255

68?

A. ̅ C.

B. ̅̅̅̅ D. ̅

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3. The integers a, b, and c are positive. Which of the following is NOT equivalent to the expression

(

)?

A. (

) C.

B. ( )

D.

4. What is the value of the expression below? Explain how you found your answer.

5. What is the value of

(

)?

Show your work.

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6. Erin is a member of her school’s track team. Last week, she ran 8½ laps around the track in 30

minutes. This week, Erin ran for 30 minutes at a constant rate of 2½ minutes per lap.

How many more laps did Erin run this week than last week?

7. Which expression represents the sum of (2x – 5y) and (x + y)?

A. 3x – 4y C. x – 4y

B. 3x – 6y D. x – 6y

8. Which step can be used to solve for the value of y?

3

2 57y = 178

A. Divide both sides by 3

2, then subtract 57 from both sides

B. Subtract 57 from both sides, then divide both sides by 3

2.

C. Multiply both sides by 3

2, then subtract 57 from both sides.

D. Subtract 3

2 from both sides, then subtract 57 from both sides.

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9. David bought a computer that was 20% off the regular price of $1,080. If an 8% sales tax was

added to the cost of the computer, what was the total price David paid for it?

A. $302.40 C. $933.12

B. $864.00 D. $1,382.40

10. In the following equation, a and b are both integers.

a(3x – 8) = b – 18x

Part A. What is the value of a?

Part B. What is the value of b?

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11. David wants to buy 2 pineapples and some bananas.

The price of 1 pineapple is $2.99.

The price of bananas is $0.67 per pound.

David wants to spend less than $10.00. Write an inequality that represents the number of pounds

of bananas, b, that David can buy.

On the number line below, draw a graph that represents the number of pounds of bananas that

David can buy.

12. Leo bought a used car for x dollars. One year later, the value of the car was 0.88x. Which

expression is another way to describe the change in the value of the car?

A. 0.12% decrease C. 12% decrease

B. 0.88% decrease D. 88% decrease

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13. All books in a store are being discounted be 30%.

Part A.

Let x represent the regular price of any book in the store. Write an expression that can be used to

find the sale price of any book in the store.

Part B.

Jerome bought a book on sale at the store. The sale price of the book was $8.96. Write and solve

an equation to determine the regular price of the book to the nearest cent.

Equation:

Regular price of the book:

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14. Three students solved the equation 3(5x – 14) = 18 in different ways, but each student arrived at

the correct answer. Select all of the solutions that show a correct method for solving the equation.

Student A Student B Student C

15. Solve 10y + 7 – 4y = -5 + 6y + 22. Tell whether the equation has infinitely many solutions or no

solution.

A. Infinitely many solutions C. Two solutions

B. Only one solution D. No solutions

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16. For each linear equation in this table, indicate whether the equation has n o solution, one solution,

or infinitely many solutions.

Equation No

Solution

One

Solution Infinitely

Many

Solutions

a. 7x + 21= 21

b. 12x + 15 = 12x -15

c. -5x –25 = 5x + 25

17. In which table is y a function of x?

A. C.

B. D.

x y

-3 6

2 5

3 2

2 3

x y

-1 0

5 2

7 3

5 4

x y

2 -1

3 0

4 -5

5 7

x y

0 6

-1 3

2 4

-1 5

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18. The total cost of an order of shirts from a company consists of the cost of each shirt plus a one-

time design fee. The cost of each shirt is the same regardless of how many shirts are ordered.

The company provides the following examples to customers to help them estimate the total cost of

an order of shirts:

50 shirts cost $349.50

500 shirts cost $2370.00

Part A.

Based on the examples, what is the cost of each shirt, not including the one-time design fee?

Explain how you found your answer.

Part B.

What is the cost of the one-time design fee?

Explain how you found your answer.

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19. Sam wants to take his MP3 player and his video game player on a car trip. An hour before they

plan to leave, he realized that he forgot to charge the batteries last night. At that point, he

plugged in both devices so they can charge as long as possible before they leave.

Sam knows that his MP3 player has 40% of its battery life left and that the battery charges by an

additional 12 percentage points every 15 minutes.

His video game player is new, so Sam doesn’t know how fast it is charging, but he recorded the

battery charge for the first 30 minutes after he plugged it in.

If Sam’s family leaves as planned, what percent of the battery will be charged for each of the two devices

when they leave? Show your work.

.

Time Charging (minutes) 0 10 20 30

Video Game Player Battery Charge (%) 20 32 44 56

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20. When John bought his new computer, he purchased an online computer help service. The help

service has a yearly fee of $25.50 and a $10.50 charge for each help session a person uses. If

John can only spend $170 for the computer help this year, what is the maximum number of help

sessions he can use this year?

A. 4 sessions C. 13 sessions

B. 12 sessions D. 14 sessions

21. Which point is the solution to both equations shown on the graph below

A. (0,0) C. (1,1)

B. (0,4) D. (2, 2)

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22. Mandy’s monthly earnings consist of a fixed salary of $2,800 and an 18% commission on all her

monthly sales. To cover her planned expenses, Mandy needs to earn an income of at least $6,400

this month.

a. Write an inequality that, when solved, will give the amount of sales Mandy needs to cover

her planned expenses.

b. Graph the solution of the inequality on the number line.

23. Fill in each x -value and y-value in the table below to create a relation that is not a function.

x y

0

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24. Ali and Renu are buying concert tickets from a web site. There is an 18% service fee for every

ticket bought from the site. If the cost of 2 tickets, including the service fee, was $59, what was the

cost of each ticket before applying the service fee? Show your work.

25. Jeanette chose 100 of the 1,500 students at her school at random and asked what was their favorite

team sport to play. The results are shown in the table below.

Favorite Team Sport Number of Students

Basketball 33

Soccer 31

Football 18

Other 11

None 7

Part A: Based on the results in the table, is it valid to infer that more students at Jeanette’s

school like to play basketball than football? Explain your answer.

Part B: Based on the results in the table, is it valid to infer that more students at Jeanette’s

school like to play basketball than soccer? Explain your answer.

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