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PRE-ALGEBRA GRADE 8 SOL REVIEW

Total questions: 50

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

4(6+2)24\left(6+2\right)^2  

a)

64

b)

160

c)

256

d)

1024

\

2.

(324)-\left(\sqrt[]{324}\right)  

4 lines
3.

If x=2 and t=4, what is the value of 18(x3 4) (t2+8)\frac{1}{8}\left(x^3\ -4\right)\ \left(t^2+8\right)  

a)

12

b)

4

c)

-72

d)

-144

4.

A food company redu:ced the amount of salt in one of their food products from 700 milligrams to 630 milligrams. What is the percent decrease in the amount of salt in this food product

a)

10

b)

12

c)

70

d)

90

5.

Which number is an irrational number? 

a)

5.499

b)

17\sqrt[]{17}  

c)

9-\sqrt[]{9}  

d)

-10

6.

Directions: Click on a box to choose each number you want to select. You must select all correct numbers.

Identify each number between 1.7x1001.7x10^0   and 195%

a)

1.8 x 1011.8\ x\ 10^1  

b)

1 78\frac{7}{8}  

c)

18.5

d)

74\frac{7}{4}  

7.

Dora bought a total of 48 cupcakes. Each cjpcake costs $0.55, including tax. Of the cupcakes she bought, 38\frac{3}{8}   were vanilla cupcakes. What was the total cost of only the vanilla cupcake>

a)

$26.40

b)

$16.50

c)

$9.90

d)

$6.60

8.

What list of numbers is ordered from greatest to least?

a)

52%, .45, 3.1x1013.1x10^1  , 1011\frac{10}{11}  

b)

3.1x1013.1x10^1  , 52%, 45, 1011\frac{10}{11}  

c)

52%, 3.1 x 1013.1\ x\ 10^1 , 1011\frac{10}{11}  , .45

d)

3.1x1013.1x10^1  , 1011\frac{10}{11}  , 52%, .45

9.

Emil bought a camera for $268.26, including tax. He made a down payment of $12.00 and paid the balance of 6 equal monthly payments. What is Emil's monthly payments for this camera?

a)

$42.71

b)

$44.71

c)

$46.71

d)

$56.71

10.

What pair of numbers are both between 6 and 7?

a)

30 \sqrt[]{30\ }  and 42\sqrt[]{42}  

b)

36 \sqrt[]{36\ }  and 49\sqrt[]{49}  

c)

37 \sqrt[]{37\ }  and 50\sqrt[]{50}  

d)

42 \sqrt[]{42\ }  and 48\sqrt[]{48}  

11.

Kyle caught 9 insects fo,r his science project i'n the first week. He caught 13 insects in the second week. What is the percent increase in the number of insects Kyle caught from the ·first week to the second week? Round your answer to the nearest whole number.

4 lines
12.

Which number is NOT an integer?

a)

124\frac{12}{4}  

b)

42-4^2  

c)

25\sqrt[]{25}  

d)

-4.8

13.

What statement describes 50\sqrt[]{50}  

a)

Exactly 7

b)

Exactly 25

c)

Between 7 and 8

d)

Between 24 and 26

14.

What is the value of 83n3\frac{8}{3}n^3  when n= 32\frac{3}{2}  

a)

4

b)

6

c)

9

d)

12

15.

For the rectangle shown, which equation can be used to find the value of x?

a)

(x+5)2\left(x+5\right)^2  = 12212^2  

b)

525^2  + x2x^2  = 12212^2  

c)

525^2  + 12212^2  = x2x^2  

d)

5+12 = x2x^2  

16.

What is the area of the polygon?

a)

77 sq cm

b)

86 sq cm

c)

96 sq cm

d)

108 sq cm

17.

Which grid shows only a tranlsation of the shaded polygon to create the unshaded polygon?

a)

A

b)

B

c)

C

d)

D

18.

Which of the following could be the measurements of 2 supplementary angles?

a)

7 and 837^{\circ}\ and\ 83^{\circ}  

b)

83 and 8383^{\circ}\ and\ 83^{\circ}  

c)

97 97^{\circ\ }  and 8383^{\circ}  

d)

117117^{\circ}   and 8383^{\circ}  

19.

Use the draw tool to complete

20.

Josh has two rectangular prisms. the lenght of the second prisim is 10 times the length of the first prism. The heigths and widths of the tow prisms are the same. Which bet describes the volume of the second prism?

a)

The volume is 10 times the volume of the first prism.

b)

The volume is 30 times the volume of the first prism.

c)

The volume is 100 times the volume of the first prism.

d)

The volume is 1000 times the volume of the first prism.

21.
a)

19 in

b)

34 in

c)

39 in

d)

44 in

22.

The radius of the base of a cone is 6 inches. The height of the cone is 6 inches. Which is closest to the volume of the cone?

a)

75 cu in.

b)

113 cu in.

c)

226 cu in.

d)

678 cu in.

23.
a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

24.
a)
b)
c)
d)
25.
a)

3.2 m

b)

5.0 m

c)

8.7 m

d)

11.2 m

26.
a)

276 sq ft.

b)

408 sq ft.

c)

528 sq ft.

d)

672 sq ft.

27.
a)

ANGLE 1

b)

ANGLE 3

c)

ANGLE 4

d)

ANGLE 5

28.
a)

1,2

b)

2,6

c)

3,5

d)

4,5

29.

What is the solution of this equation?

x=5x+6x=5x+6  

a)

32-\frac{3}{2}  

b)

-1

c)

1

d)

32\frac{3}{2}  

30.
a)

A

b)

B

c)

C

d)

D

31.

Identify each equation that illustrates the commutative property of multiplication.

a)

xy+3=yx+3xy+3=yx+3  

b)

6(x+7)=6x+42

c)

3x+(5x+7x)=(3x+5x)+7x

d)

4(3)=3(4)

e)

12+(-3)=(-3)+12

32.
a)

$11.75

b)

$9.36

c)

$9.00

d)

$8.56

33.

What value of x makes this equation true?

5x+8+3x=26+6x5x+8+3x=26+6x  

a)

36

b)

17

c)

16

d)

9

34.
a)

A

b)

B

c)

C

d)

D

35.

Two fair coins are flipped at the same time. What is the probability that both display tails?

a)

18\frac{1}{8}  

b)

14\frac{1}{4}  

c)

13\frac{1}{3}  

d)

12\frac{1}{2}  

36.
a)

A

b)

B

c)

C

d)

D

37.
a)

A

b)

B

c)

C

d)

D

38.
a)

A

b)

B

c)

C

d)

D

39.

What is the solution to (n+4)2\frac{\left(n+4\right)}{2}  -3=13

a)

n=4

b)

n=14

c)

n=16

d)

n=28

40.
a)

Between 8 and 9 years

b)

Between 9 and 10 years

c)

Between 10 and 11 years

d)

Between 11 and 12 years

41.

Which best represents y=x-1 ?

a)

A

b)

B

c)

C

d)

D

42.
a)

A

b)

B

c)

C

d)

D

43.

What is the solution of this inequality?

1.60.8x+41.6\ge0.8x+4  

a)

3x-3\ge x  

b)

3x-3\le x  

c)

7x7\ge x  

d)

7x7\le x  

44.

Which is the greatest value in the range of y=-5x+3 for the domain {2, 0, 1,3}\left\{-2,\ 0,\ 1,3\right\}  

a)

3

b)

8

c)

13

d)

18

45.
a)

A

b)

B

c)

C

d)

D

46.
a)

On Day 2 and Day 3, the total number of text messages sent by Paul was 4 more than the total number of text messages sent by Kala.

b)

The total number of text messages sent by Kala was the same as the total number sent by Paul for these 4 days.

c)

THe mean number of text messages Kala sent on Day 2 and Day 4 was exactly 4.5

d)

Kala sent fewer text messages than Paul on Day 3 and Day 4 combined.

47.
a)

As Marvin's age increased, the time it took him to run a mile increased

b)

As Marvin's age increased, the time it took him to run a mile decreased

c)

As Marvin's age increased, the time it took him to run a mile remains constant.

d)

There is no relationship between Marvin's age and the time it took him to run a mile.

48.

Which relation has a domain of {3,5,8}\left\{3,5,8\right\}  

a)

{((5,1), (3,4), (8,2), 3,3)}\left\{\left(\left(5,1\right),\ \left(3,4\right),\ \left(8,2\right),\ 3,3\right)\right\}  

b)

{(3,2), (5,1), (8,3), (1,4)}\left\{\left(3,2\right),\ \left(5,1\right),\ \left(8,3\right),\ \left(1,4\right)\right\}  

c)

{(2,8), (1,3), (3,5)}\left\{\left(2,8\right),\ \left(1,3\right),\ \left(3,5\right)\right\}  

d)

{(3,8), (5,3), (3,5)}\left\{\left(3,8\right),\ \left(5,3\right),\ \left(3,5\right)\right\}  

49.

Use the Draw tool to answer the question.

50.

A box contains 9 new light bulbs and 6 used light bulbs. Each light bulb is the same size and shape. Meredith will randomly select 2 light bulbs from the box without replacement. What is the probability Meredith will select a new light bulb and then a used light bulb?

a)

154\frac{1}{54}  

b)

215\frac{2}{15}  

c)

625\frac{6}{25}  

d)

935\frac{9}{35}