Free Printable One Step Inequalities

Free Printable Worksheets

Worksheets

One Step Inequalities

Total questions: 18

Worksheet time: 35mins

Name

Class

Date

1.

When solving an inequality, use the inverse/opposite operation, just like when solving equations (except for a small exception that we will review later!).

a)

Got it! Just like in the video!

b)

Oh! I remember that now!

2.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

3.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

4.

24 ≤ h + 15

a)

h ≥ -9

b)

h ≥ 9

c)

h ≤ 9

d)

h ≤ 39

5.

y - 13 ≤ -15

a)

y ≤ 2

b)

y ≤ -2

c)

y ≤ 28

d)

y ≤ -28

6.

Solve

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

7.

Solve

a)

a≤1

b)

a≤25

c)

a>1

d)

a<25

8.

7n > 49

a)

n > 7

b)

n < 7

c)

n > 343

d)

n < 343

9.

Solve the inequality
12 ≥ 6w

a)

w > 2

b)

w < 2

c)

w ≥ 2

d)

w ≤ 2

10.

Here's the exception! When you multiply or divide both sides of the inequality by a negative number, you must flip/reverse the inequality sign!

a)

Got it! Just like in the video!

b)

Hmmm, I hope I remember. Feeling shaky!

11.

Solve

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

12.

Solve for x.

a)

b)

c)

d)

13.

Now, let's graph the solutions! Remember, open dot if the boundary IS NOT a solution (< or >) and a closed dot if the boundary IS a solution (< or >).

a)

Got it!

b)

I hope I can remember!

14.

Solve and graph the solution

x - 41 > 22

a)

b)

c)

d)

15.

Solve and graph the solution:

-11x > 99

a)

b)

c)

d)

16.

Solve and graph the solution:

45p > 315

a)

b)

c)

d)

17.

Solve and graph the solutions.

30 + n ≥ 50

a)

b)

c)

d)

18.

Solve and graph the solution.

a)

b)

c)

d)

Reset

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