8th Grade 2nd Quarter Summative Review

1. What is the equation of the line shown?

F. 𝒚 = −𝟏

𝟑 𝒙 + 𝟔

G. 𝒚 = −𝟑𝒙 + 𝟔

H. 𝒚 = 𝟏

𝟑 𝒙 + 𝟔

J. 𝒚 = 𝟑𝒙 + 𝟔

2. The table below shows a relationship between x and y.

x 0 1 2 3 6

y 5 6 7 8 11

Which equation represents the relationship?

A. 𝑦 = 𝑥 + 5

B. 𝑦 = 5𝑥

C. 𝑦 = 4𝑥 + 5

D. 𝑦 = 4𝑥 + 1

3. A scientist decided to investigate the growth in a warm environment. He

recorded his data in a table. What is the rate of change of the bacterial

growth?

A. 1000 bacteria per hour

B. 500 bacteria per hour

C. 250 bacteria per hour

D. 100 bacteria per hour

4.

Which of the following does not describe a proportional

rerelationship?

F. y = 3x

G. y = -4x

H. y = 8x

J. y = -2x +1

8.5F-S

Hours (x) Bacteria (y)

2 1000

4 2000

6 3000

10 5000

5. Which graph illustrates the solution to 𝑦 = −2𝑥 and 𝑦 = −4𝑥 + 2?

G. F.

H. J.

6.

7.

Erin purchased 5 pounds of bananas for a total cost of $4.00. Which graph has a line that

represents the correct unit rate for the cost of the bananas?

Pounds of Bananas

Pounds of Bananas

Pounds of Bananas

Pounds of Bananas

8. Which of the following relations is a function?

I. {(0, 1), (2, 4), (4, 6)}

II. {(0, 8), (1, 3), (2, 8)}

III. {(0, 0), (2, 5), (2, 6)}

IV. {(0, 0), (1, 2), (1, 3)}

A. I, II, and III only

B. I and II only

C. II and III only

D. III and IV only 8.5G-R

9. Which of the following is the graph of the equation 𝒚 = −𝟏

𝟐𝒙 + 𝟒?

F. H.

G. J.

10.

11. Solve

A. (4, -6)

C. (4, 6)

B. (-4, -6)

D. (-4, 6)

𝑦 = −3

4𝑥 + 9

𝑦 =1

2𝑥 + 4

12.

13. The table below shows a pattern that continues infinitely.

x 2 4 6 8

y 1 2 3 4

Which equation can be used to describe the relationship in the table?

F. 𝑦 = −x

G. 𝑦 = 1

2 𝑥

H. 𝑦 = 𝑥 − 1

J. 𝑦 = 2x − 3

14. What are the slope and y-intercept of the graph below?

F. slope = 2, y-intercept = 4

G. slope = 1

2, y-intercept = 4

H. slope = 4, y-intercept = 2

J. slope = 1

4, y-intercept = 2

15. The equation below represents the fees charged by two companies.

10 + 0.20x = 0.40x

Which scenario best describes the fees charged?

A. Red Dot Taxi charges $10 for pickup and $0.20 per mile. Black Check Taxi has

no pickup fee but charges $0.40 per mile.

B. Red Dot Taxi charges $10 per mile and $0.20 for pickup. Black Check Taxi

charges $0.40 for pickup.

C. Red Dot Taxi charges $0.20 for pickup. Black Check Taxi charges $0.40 for

pickup

D. Red Dot Taxi charges $20 per mile. Black Check Taxi charges $40 per mile.

16.

17. If the perimeter of the triangle is 23cm, what is the value of x?

A. 2 cm

B. 3 cm

C. 4 cm

D. 6 cm

2x - 8 x + 4

4x + 6

18.

19.

20.

21.

22. Best Painters charges $50 to paint a room and $12 per can of paint used. Top Painters

charges $75 to paint a room and $25 per can of paint used. Which equation could be used to

find the number of cans of paint (p) for which the cost of the two companies is the same?

F. 45p = 175

G. p(50 + 12) = p(75 + 25)

H. 50p + 12 = 75p + 25

J. 50 + 12p = 75 + 25p

23. Which inequality best represents the following situation: Jerry

has $100 in his savings account and wants to add $30 a month. Makala

has only $50 in her savings account but is saving at a rate of $60 a

month. When will Makala have saved more than Jerry?

F. 100 + 30m > 50 + 60m

G. 100 + 30m < 50 + 60m

H. 100m + 60 > 50m + 30

J. 50m + 60 > 100m + 30

24. The table below represents points on a line. What is the slope of the line?

25. Robert and Jenny went to the farmers market to buy fruit for their lunch at

school next week. Robert bought 6 oranges. Jenny bought 4 oranges and spent

$1.30 for a container of raspberries. If they spend equal amounts at the market,

write and solve an equation that will determine the cost of one orange.

x 0 1 2 3

y 3 9 15 21