Free Printable Two-Step Inequalities

1.

5x < 5

a)

x < 1

b)

x > 1

c)

x > 0

d)

x < 25

2.

25 < X - 10

a)

X > 35

b)

X < 35

c)

X > -35

d)

X < -35

3.

2- 3x ≤ 20

a)

x ≥ -6

b)

x ≤ -6

c)

x ≤ -7

d)

x ≥ -7

4.

22 < 6c + 4

a)

11>c

b)

3>c

c)

11<c

d)

3<c

5.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

6.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

7.

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

a)

Open

b)

closed

8.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

9.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

10.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

11.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

12.

Match the graph with its inequality.

a)

a < 11

b)

a > 11

c)

a ≤ 11

d)

a ≥ 11

13.

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

a)

Open

b)

closed

14.

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

a)

<, >

b)

≤, ≥

15.

When graphing an inequality, you use a closed circle when you use which symbols?

a)

≤, ≥

b)

<, >

16.

What is the name of this symbol?
$\le$

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

17.

The variable, k, is being divided by 11. How should you isolate the variable?

$16=\frac{k}{11}$

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

18.

Choose the correct expression that represents 7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

19.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

20.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

21.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

22.

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

a)

200 + 25x ≥ 500

b)

500 + 25x ≥ 200

c)

500 - 25x ≥ 200

d)

500 - 25x ≤ 200

23.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

24.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

25.

a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

26.

11 > -3y + 2

a)

-3 > y

b)

-3 < y

c)

3 > y

d)

3 < y

27.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < 3

d)

x > 3

28.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

29.

What inequality does the number line graph represent? (Hint: You may have to solve each inequality.)

a)

x + 2 < 5

b)

3x ≥ 9

c)

2x - 1 > 5

d)

x + 3 < 0

30.

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

31.

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

32.

Grace earns $7 for each car she washes. She always saves $25 of her weekly earnings. This week she wants to have at least $65 in spending money. Which inequality represents how many cars she must wash?

a)

25 - 7x ≤ 65

b)

7x - 25 ≥ 65

c)

7x - 65 ≥ 25

d)

x/25 - 65 > 7

33.

Which inequality is represented by

a number increased by 5 is less than 7.

a)

x + 5 < 7

b)

x - 5 < 7

c)

5x < 7

d)

x + 5 > 7

34.

5x < 5

a)

x < 1

b)

x > 1

c)

x > 0

d)

x < 25

35.

25 < X - 10

a)

X > 35

b)

X < 35

c)

X > -35

d)

X < -35

36.

2- 3x ≤ 20

a)

x ≥ -6

b)

x ≤ -6

c)

x ≤ -7

d)

x ≥ -7

37.

22 < 6c + 4

a)

11>c

b)

3>c

c)

11<c

d)

3<c

38.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

39.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

40.

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

a)

Open

b)

closed

41.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

42.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

43.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

44.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

45.

Match the graph with its inequality.

a)

a < 11

b)

a > 11

c)

a ≤ 11

d)

a ≥ 11

46.

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

a)

Open

b)

closed

47.

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

a)

<, >

b)

≤, ≥

48.

When graphing an inequality, you use a closed circle when you use which symbols?

a)

≤, ≥

b)

<, >

49.

What is the name of this symbol?
$\le$

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

50.

The variable, k, is being divided by 11. How should you isolate the variable?

$16=\frac{k}{11}$

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

51.

Choose the correct expression that represents 7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

Two-Step Inequalities

Total questions: 51

Worksheet time: 2hrs 27mins

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