Free Printable Unit 4 Review

1.

What is the inverse operation of addition?

a)

multiplication

b)

division

c)

addition

d)

subtraction

2.

What is the inverse operation of subtraction?

a)

addition

b)

multiplication

c)

division

d)

subtraction

3.

What is the inverse operation of multiplication?

a)

addition

b)

subtraction

c)

multiplication

d)

division

4.

What is the inverse operation of division?

a)

addition

b)

subtraction

c)

multiplication

d)

division

5.

$\frac{x}{4}=\ -3$

a)

x = 12

b)

x = -12

c)

x = 1

d)

x = -7

6.

$-8r\ =\ 24$

a)

r = -3

b)

r = 3

c)

r = 16

d)

r = -16

7.

$x\ -\ 3\ =\ -10$

a)

x = -7

b)

x = 7

c)

x = 13

d)

x = -13

8.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

9.

$\frac{t}{-8}=\ -5$

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

10.

Which choice models this situation? William needs to sell 25 Husky Cards for a fundraiser by Friday. So far, he has sold 9 cards. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

11.

Which choice models this situation?

Last week, James worked 35 hours in 5 days on the farm. He worked the same number of hours each day. How many hours did he work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

12.

Which choice models this situation?

At ACHI, there are 5 art classes with 24 students per class. How many students altogether are in the art classes?

a)

s - 5 = 24

b)

s + 5 = 24

c)

5s = 24

d)

s/5 = 24

13.

Which choice models this situation?

Hadlee needed new pencils for school today. She took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

14.

Which choice models this situation?

Maddi participated in a read-a-thon. Mrs. Dunnmeyer pledged $4 for each book read. When it ended, she gave Maddi a total of $44. How many books did Maddi read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

15.

Solve the following equation

j - (-5) = 15

a)

j = 20

b)

j = 3

c)

j = 75

d)

j = 10

16.

Brooklyn is preparing for her younger sister's birthday party. She splits a jar of lollipops evenly among 6 goody bags. The goody bags ends up with 4 lollipops per bag.

Which equation can you use to find the number of lollipops n in the jar?

a)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

17.

Solve the following inequality:

x + 2 > 12

a)

subtract 2 from both sides and your answer is

x = 10

b)

subtract 2 from both sides and your answer is

x > 10

c)

subtract 2 from both sides and your answer is

X < 10

18.

Solve 5x > 10

a)

divide by 5 on both sides and your answer is

x = 2

b)

divide by 5 on both sides and your answer is

x < 2

c)

divide by 5 on both sides and your answer is

x > 2

19.

Solve 3x + 2 > 8

a)

subtract 2 from both sides and your answer is

x > 6

b)

subtract 2 from both sides and your answer is

x = 6

c)

subtract 2 from both sides and then divide by 3 on both sides and your answer is

x > 2

20.

Solve the inequality

3x - 7 < 5

a)

x < 4

b)

x < -2

c)

x = 4

21.

Try some:

-2x ≤ 4

a)

divide by -2 o both sided and your answer will be

x = -2

b)

divide by -2 on both sides and you will switch the direction of the inequality since you are dividing by a negative and your answer will be

x ≥ -2

c)

divide by -2 on both sides and your answer will be

x ≤ -2

22.

- 3x < -12

a)

divide both sides by -3 and your answer is

x < 4

b)

x = 4

c)

divide both sides by -3 and your answer is

x > 4

because you divided by a negative and had to flip the inequality symbol

23.

Example

x ≥ 3

−2

a)

multiply both sides by -2 and your answer will be

x ≤ -6

because you multiplied by a negative you must switch the inequality

b)

multiply both sides by -2 and your answer will be

x ≥ -6

c)

divide both sides by -2 and you get

x ≥ -2/3

24.

more than

a)

<

b)

>

c)

≤

d)

≥

25.

Fewer Than

a)

<

b)

>

c)

≤

d)

≥

26.

No More Than

a)

<

b)

>

c)

≤

d)

≥

27.

less than or equal to

a)

<

b)

>

c)

≤

d)

≥

28.

Less Than

a)

<

b)

>

c)

≤

d)

≥

29.

At least

a)

<

b)

>

c)

≤

d)

≥

30.

at most

a)

<

b)

>

c)

≤

d)

≥

31.

Below

a)

<

b)

>

c)

≤

d)

≥

32.

No Fewer Than

a)

<

b)

>

c)

≤

d)

≥

33.

maximum

a)

<

b)

>

c)

≤

d)

≥

34.

exceeds

a)

<

b)

>

c)

≤

d)

≥

35.

Above

a)

<

b)

>

c)

≤

d)

≥

36.

greater than or equal to

a)

<

b)

>

c)

≤

d)

≥

37.

is no less than

a)

<

b)

>

c)

≤

d)

≥

38.

minimum

a)

<

b)

>

c)

≤

d)

≥

39.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

40.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

41.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

42.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

43.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

44.

Would you use a closed or open circle to graph x < 3?

a)

Closed

b)

Open

45.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

46.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

47.

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

a)

Open

b)

closed

48.

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

a)

Open

b)

closed

49.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

50.

Which graph matches the inequality

p < 2 ?

a)

A

b)

B

c)

C

d)

D

51.

Which graph represents all of the solutions to the inequality $r\ge10$ ?

a)

b)

c)

d)

52.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

53.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

54.

What inequality does the number line graph represent?

a)

$x\le-4$

b)

$x\ge-4$

c)

x < -4

d)

x < 4

55.

What inequality does the number line graph represent?

a)

$x\ge3$

b)

x > 3

c)

x < -3

d)

$x\le3$

56.

25 < X - 10

a)

X > 35

b)

X < 35

c)

X > -35

d)

X < -35

57.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

58.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

59.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

60.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

61.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

62.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

63.

Place a check mark in each step that is correct. (There should be 2)

4x-15=25

a)

Add 15 to both sides

b)

Subtract 15 from both sides

c)

Multiply by 4 on both sides

d)

Divide by 4 on both sides

64.

Place a check mark in each step that is correct. (There should be 2)

-9x+6=78

a)

Add 6 on both sides

b)

Subtract 6 on both sides

c)

Divide by -9 on both sides

d)

Divide by 9 on both sides

65.

Place a check mark in each step that is correct. (There should be two checkmarks.)

\frac{x}{-3}_{\ }-\ \left(-20\right)=\ 30

a)

Subtract 20 from both sides

b)

Add 20 to both sides

c)

Multiply by -3 on both sides

d)

Multiply by 3 on both sides

66.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

67.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

68.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

69.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

70.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

71.

$\frac{x}{11}-13=\ -17$ Solve this equation

a)

x= 300

b)

x= -44

c)

x= 0.36

d)

x= 2.72

Unit 4 Review

Total questions: 71

Worksheet time: 18hrs 45mins

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