wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Unit 2 Review

Total questions: 30

Worksheet time: 56mins

Name
Class
Date
1.

What is the result of distributing in the expression 12(4x+8)\frac{1}{2}(4x + 8) ?

a)

2x + 4

b)

4x + 8

c)

2x + 8

d)

x + 4

2.

What is the result of distributing in the expression 23(6x9)\frac{2}{3}(6x - 9) ?

a)

4x - 6

b)

6x - 9

c)

2x - 3

d)

3x - 6

3.

What is the result of distributing in the expression 45(10x+1)\frac{4}{5}(10x + 1) ?

a)

10x + 1

b)

8x + 1

c)

8x + 4/5

d)

4x + 5

4.

What is the result of distributing in the expression 32(3x4)\frac{3}{2}(3x - 4) ?

a)

92x6\frac{9}{2}x - 6

b)

3x - 4

c)

92x4\frac{9}{2}x - 4

d)

6x - 8

5.

What is the result of distributing in the expression 2(52x+1)2(-\frac{5}{2}x + 1) ?

a)

-x + 1

b)

-5x + 1

c)

-x + 2

d)

-5x + 2

6.

What is the result of distributing in the expression 3(43x2)-3(\frac{4}{3}x - 2) ?

a)

-4x - 6

b)

-4x + 6

c)

-3x + 6

d)

4x - 6

7.

What is the result of distributing and collecting like terms in the expression 12(4x+6)+5x\frac{1}{2}(4x + 6) + 5x ?

a)

9x + 3

b)

7x + 6

c)

7x + 3

d)

9x + 6

8.

What is the result of distributing and collecting like terms in the expression 6(43x12)3x6(\frac{4}{3}x - \frac{1}{2}) - 3x ?

a)

5x - 3

b)

8x - 3

c)

5x + 3

d)

8x + 3

9.

What is the result of distributing and collecting like terms in the expression 52(52x+1)+45 - 2(\frac{5}{2}x + 1) + 4 ?

a)

-5x + 5

b)

-5x + 9

c)

-5x + 7

d)

-5x + 3

10.

What is the result of distributing and collecting like terms in the expression 43(23x23)+6x-4 - 3(\frac{2}{3}x - \frac{2}{3}) + 6x ?

a)

4x - 2

b)

4x + 2

c)

5x - 2

d)

-5x + 2

11.

What is the solution to this equation?

30.16 = 17.56 + 5x

a)

6.032

b)

3.512

c)

12.6

d)

2.52

12.

What is the solution set for -4x - 10 ≤ 2?

a)

x ≤ -3

b)

x ≥ -3

c)

x ≤ 2

d)

x ≥ 2

13.

What is the solution set for this inequality? -8x + 40 > -16

a)

x > 7

b)

x < 7

c)

x > -3

d)

x < -3

14.

What is the solution set for the inequality 3 ≤ 8 - 1/4x?

a)

x ≤ 20

b)

x ≤ 5/4

c)

x ≥ 20

d)

x ≥ 5/4

15.

What is the solution set for this inequality? -5d + 5 1/2 ≤ 17

a)

d ≥ -2.3

b)

d ≤ -2.3

c)

d ≤ -4.5

d)

d ≥ -4.5

16.

What is the solution set for the inequality 4 - 5g > 39?

a)

g > -7

b)

g < -7

c)

g < 7

d)

g > 7

17.

Which number line best represents the solution to the inequality

3.3w - 9 > -22.2?

a)

F

b)

G

c)

H

d)

J

18.

Which number line best represents the solution to the inequality

3x - 8 ≥ 7?

a)

A

b)

B

c)

C

d)

D

19.

Which number line best represents the solution to the inequality

3x - 8 ≥ 7?

a)

A

b)

B

c)

C

d)

D

20.

Which number line represents the solution to the inequality

125x + 125 ≥ 1,200?

a)

A

b)

B

c)

C

d)

D

21.

The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the truck. Which inequality represents all possible values of x, the number of these boxes that can be loaded into the moving truck?

a)

50x + 400 ≤ 1,600

b)

50x + 400 ≥ 1,600

c)

400x + 50 ≤ 1,600

d)

400x + 50 ≥ 1,600

22.

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

a)

3h - 2 ≤ 14

b)

3h + 2 ≤ 14

c)

3h - 2 ≥ 14

d)

3h + 2 ≥ 14

23.

What is the value of yy in the equation 2112y=1521 - \frac{1}{2} y = 15 ?

a)

y = -72

b)

y = -18

c)

y = 3

d)

y = 12

24.

Which expression is equivalent to 37y5(2y14)\frac{3}{7} y - 5 \left( -2y - \frac{1}{4} \right) ?

a)

677y+54-\frac{67}{7} y + \frac{5}{4}

b)

677y54-\frac{67}{7} y - \frac{5}{4}

c)

737y+54\frac{73}{7} y + \frac{5}{4}

d)

737y54\frac{73}{7} y - \frac{5}{4}

25.

A taxi charges a flat $1.32 plus an additional $0.54 per mile. Brent has only $13.20 to spend on the ride. How many miles can Brent travel?

a)

At most 22 miles

b)

Less than 22

c)

22 miles or more

d)

More than 22

26.

A Yellow Cab charges a flat $1.09 plus an additional $0.61 per mile. Jeff has only $4.75 to spend on the ride. How many miles can Jeff travel?

a)

5 miles or more

b)

6 miles or less

c)

7 miles

d)

8 miles or less

27.

Don and Tanya each play a game in which they cannot laugh. In the game, a person starts with 160 points and loses 6 points for each laugh. If Tanya finishes the game with 88 points, how many times can Don laugh and still win or tie?

a)

13 times or more

b)

10 times or less

c)

12 times or less

d)

8 times

28.

3x + 5 = 17

a)

4

b)

5

c)

6

d)

7

29.

1/2​x + 4 = 10

a)

8

b)

10

c)

12

d)

14

30.

3/4 ​y − 5 = 4

a)

8

b)

9

c)

12

d)

16