Free Printable Solving Two-Step Inequalities

1.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

2.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

3.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

4.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < 3

d)

x > 3

5.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

6.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

7.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes, because I'll be dividing by a negative number

b)

No, because you never flip the sign.

8.

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

a)

A

b)

B

c)

C

d)

D

9.

Level 1

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

10.

Which symbol means "greater than or equal to"?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

11.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

12.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

13.

Solve for x.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

14.

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

a)

<, >

b)

≤, ≥

15.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

16.

When graphing $b<6$ , would you use an open circle or a filled-in/closed dot?

a)

open circle

b)

filled-in/closed dot

17.

y + 7 ≥ 12

a)

y ≥ 5

b)

y ≤ 5

c)

y ≥ 19

d)

y ≤ 19

18.

When graphing $d\ge12$ , would you use an open circle or a filled-in/closed dot?

a)

open circle

b)

filled-in/closed dot

19.

Solve the following inequality. Show your algebraic work!

a)

m > -2

b)

m > 6

c)

m < 5

d)

m < 3

20.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

21.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

22.

a)

145

b)

165

c)

180

d)

190

23.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

24.

a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

25.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

26.

11 > -3y + 2

a)

-3 > y

b)

-3 < y

c)

3 > y

d)

3 < y

27.

6n + 4 = -26

a)

n = -6

b)

n = -5

c)

n = 8

d)

n = -4

28.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

-5

d)

12

29.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < 3

d)

x > 3

30.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

31.

21 = 9x+3

a)

x = 45

b)

x = 3

c)

x = 2

d)

x = 21

32.

a)

145

b)

165

c)

180

d)

190

33.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k ≤ 1

c)

k ≥ 1

d)

k ≥ -1

34.

-4x + 1 > 21

a)

x > -5

b)

x < -5

c)

x > -80

d)

x < -80

35.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes, because I'll be dividing by a negative number

b)

No, because you never flip the sign.

36.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

37.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

38.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

39.

Solve for u.
u/7 – 1 ≤ 1

a)

14≥u

b)

14≤u

c)

u≤14

d)

u ≤ -14

Solving Two-Step Inequalities

Total questions: 39

Worksheet time: 1hrs 18mins

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