Free Printable Module 4 Review

1.

Use the distributive property to write an expression for the area of the rectangle in factored form.

a)

3x + 19

b)

3x + 18

c)

3(x + 6)

d)

3(x -6)

2.

Determine the length of the rectangle.

a)

4y + 9b

b)

4 + 9

c)

16y + 36b

d)

4 + 16 + 36

3.

John had y cookies, and ate 5 of them. Then, he split the remaining cookies with 3 friends.

a)

$y\ -\ 5-\ 3$

b)

$\frac{y-5}{3}$

c)

$\frac{5-y}{3}$

4.

$30+4\times5^2$

a)

340

b)

850

c)

130

d)

170

5.

Use distributive property to write the expression in factored form. 60x + 42y

a)

10x + 7y

b)

102xy

c)

12(5x + 4y)

d)

6(10x +7y)

6.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

7.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

8.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

9.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

10.

Sally bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

a)

18c=6

b)

c + 6= 18

c)

c +18 = 6

d)

3c=18

11.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

12.

Which graph matches the inequality
-2 ≥ n?

a)

A

b)

B

c)

C

d)

D

13.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

14.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

15.

Which graph matches the inequality
³/₂ ≥ p?

a)

A

b)

B

c)

C

d)

D

16.

When graphing b ≤ 6 would you use an open or closed circle?

a)

Open

b)

closed

17.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

18.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

19.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

20.

Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

21.

Evaluate the equation:
(10+5) -6

a)

9

b)

10

c)

11

d)

12

22.

Evaluate the equation:
7 ÷ 1 - 6

a)

1

b)

5

c)

6

d)

7

23.

Which operation would you do first?
2 · (15 - 2) ÷ 5

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

24.

24x(4-2)÷6

a)

8

b)

2

c)

6

d)

5

25.

Solve:
30 - 7 x 4

a)

2

b)

92

c)

7

d)

84

26.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

27.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

28.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

29.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

30.

Two angles that form a straight line are called _______ angles

a)

complementary

b)

supplementary

c)

adjacent

d)

vertical

31.

Two angles that form a 90 degree (right angle) are called ____________ angles

a)

complementary

b)

supplementary

c)

adjacent

d)

vertical

32.

In the figure below, line PS is perpendicular to line UR. What is the measure of <PVQ?

a)

24

b)

45

c)

68

d)

72

33.

What is the m < PQS in the figure below?

a)

36

b)

60

c)

72

d)

108

34.

Find the value of x.

a)

17

b)

28

c)

68

d)

39.5

35.

What is the value of "a"?

a)

75°

b)

65°

c)

55°

d)

85°

36.

What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.

a)

40 + c = 30.98

b)

30.98 + c = 40

c)

c - 40 = 30.98

d)

c - 30.98 = 40

37.

Mei was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought nineteen more. How many did she start with if she now has 45?

a)

2/x + 19 = 90

b)

x/2 + 19 = 45

c)

2x +19 = 109

d)

19x + 2 = 71

38.

y is equal to twice a number x

a)

y = 2 + x

b)

x = 2 + y

c)

y = 2x

d)

x = 2y

39.

y is equal to x increased by 4

a)

y = x + 4

b)

x = y + 4

c)

y = 4x

d)

x = 4y

40.

you can travel a total of y miles if you travel x miles per hour for 6 hours.

a)

y = 6x

b)

y = x + 6

c)

x = 6y

d)

x = 6 + y

41.

y is the total cost of x bananas at price of $.25 each

a)

x = 0.25y

b)

y = x + 0.25

c)

y = 0.25x

d)

x = y + 0.25

42.

Write an equation that represents the relationship between the variables in the table.

a)

t=10d

b)

t=d-9

c)

t=10-d

d)

d=t+10

43.

Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.

a)

m=50 + w

b)

w= 50m

c)

w= 50 + m

d)

m= 50 - w

44.

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

a)

50 + 3.5x < 71

b)

71 - 3.5x < 50

c)

71 - 3.5x ≤ 50

d)

71 + 3.5x < 50

45.

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

a)

106 - 4x ≤ 70

b)

70 + 4x ≤ 106

c)

4x - 106 ≥ 70

d)

106 - 4x< 70

46.

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

a)

14 ≥ 2n+3

b)

2+3n ≤ 14

c)

14-3n ≤ 2

d)

14x+2 ≤ 3

47.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
a + b

a)

7

b)

8

c)

9

d)

6

48.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
3ab

a)

10

b)

12

c)

15

d)

36

49.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a² + c²

a)

22

b)

34

c)

68

d)

43

50.

Work out the value of the expression when a = 3, b = 4 and c = 5.

a)

3

b)

1 1/3

c)

4

d)

1/3

51.

If y = 4,find the value of 3y + 5

a)

27

b)

12

c)

17

52.

If x = 5,find the value of 7x - 1

a)

34

b)

36

c)

35

53.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

Module 4 Review

Total questions: 53

Worksheet time: 2hrs 7mins

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