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Solve 1-Step Inequalities

Total questions: 20

Worksheet time: 21mins

Name
Class
Date
1.

To solve the equation or solve the inequality means to...

a)

get rid of all the negative numbers.

b)

use the inverse operation.

c)

use opposites to move numbers around.

d)

get the variable all by itself on one side.

2.

The inverse of subtraction is

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

3.

 ..  What is the answer to

 x + 13 < 2x\ +\ 13\ <\ 2  

a)

 x < 11x\ <\ 11  

b)

 x < 15x\ <\ 15  

c)

 x < −11x\ <\ -11  

d)

 x < −15x\ <\ -15  

4.

What is the answer to

  x − 7 ≥ 16x\ -\ 7\ \ge\ 16  

a)

 x ≥ 9x\ \ge\ 9  

b)

 x ≥ 23x\ \ge\ 23  

c)

 x ≥ −23x\ \ge\ -23  

d)

 x ≤ 9x\ \le\ 9  

5.

What is the answer to 

 −5y ≤ 25-5y\ \le\ 25  

a)

 y ≤ −5y\ \le\ -5  

b)

 y ≥ −5y\ \ge\ -5  

c)

 y ≤ 5y\ \le\ 5  

d)

 y ≥ 5y\ \ge\ 5  

6.

What is the answer to 


 16x > −6416x\ >\ -64  

a)

 x > −4x\ >\ -4  

b)

 x < −4x\ <\ -4  

c)

 x > −48x\ >\ -48  

d)

 x < −48x\ <\ -48  

7.

True or False?

 Twice a number is at most 40 Twice\ a\ number\ is\ at\ most\ 40\   

can be written as

 2x < 40.2x\ <\ 40.  


a)

True

b)

False

8.

True or False?

 Seven times a number is under 30Seven\ times\ a\ number\ is\ under\ 30  

can be written as 


 30 > 7y.30\ >\ 7y.  

a)

True

b)

False

9.

True or False?

 Three times a number is less than 9 Three\ times\ a\ number\ is\ less\ than\ 9\   
can be written as 
 3 < 9y.3\ <\ 9y.  

a)

True

b)

False

10.

What is the answer to 

 2y + 4 − y > 62y\ +\ 4\ -\ y\ >\ 6  

a)

 y > 10y\ >\ 10  

b)

 y > 23y\ >\ \frac{2}{3}  

c)

 y > −10y\ >\ -10  

d)

 y > 2y\ >\ 2  

11.

What is the answer to 

 2 + 6 ≤ 5n + 8 − 4n2\ +\ 6\ \le\ 5n\ +\ 8\ -\ 4n 

a)

 89 ≤ n\frac{8}{9\ }\le\ n  

b)

 0 ≤ n0\ \le\ n  

c)

 8 = n8\ =\ n  

d)

 n ≤ 8n\ \le\ 8  

12.

What is the answer to

 −55 ≥ −11x-55\ \ge\ -11x 

a)

 x ≥ −5x\ \ge\ -5  

b)

 x ≤ −5x\ \le\ -5  

c)

 x ≥ 5x\ \ge\ 5  

d)

 x≤ 5x\le\ 5  

13.

What is the answer to

 6m < −546m\ <\ -54 


a)

 −9 < m-9\ <\ m  

b)

 m > −9m\ >\ -9  

c)

 m > 9m\ >\ 9  

d)

 m < −9m\ <\ -9  

14.

True or False?

Thirty times a number is less than 30 

can be written as

 30n > 3030n\ >\ 30  



a)

True

b)

False

15.

True or False?

A number is at most 14 

can be written as

 x ≤ 14x\ \le\ 14 



a)

True

b)

False

16.

True or False?

Sixteen is less than twice a number

can be written as

 2x > 162x\ >\ 16 



a)

True

b)

False

17.

Which inequality does the graph represent?

a)

−11 < x-11\ <\ x

b)

−11 > x-11\ >\ x

c)

−11 = x-11\ =\ x

d)

x > −11x\ >\ -11

18.

Which inequality does the graph represent?

a)

10 > x10\ >\ x

b)

10 < x10\ <\ x

c)

10≤ x10\le\ x

d)

x ≥10x\ \ge10

19.

Which inequality does the graph represent?

a)

x ≤ 23x\ \le\ 23

b)

23 ≤ x23\ \le\ x

c)

23 ≥ x23\ \ge\ x

d)

x ≠ 23x\ \ne\ 23

20.

Which inequality does the graph represent?

a)

x = 0x\ =\ 0

b)

0 ≥ x0\ \ge\ x

c)

n ≥ 0n\ \ge\ 0

d)

x > 0x\ >\ 0