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Solve 1 Step Inequalities

Total questions: 41

Worksheet time: 52mins

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 


 16x > 6416x\ >\ -64  

a)

 x > 4x\ >\ -4  

b)

 x < 4x\ <\ -4  

c)

 x > 48x\ >\ -48  

d)

 x < 48x\ <\ -48  

6.

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

7.

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

8.

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

9.

True or False?

Thirty times a number is less than 30 

can be written as

 30n > 3030n\ >\ 30  



a)

True

b)

False

10.

True or False?

A number is at most 14 

can be written as

 x  14x\ \le\ 14 



a)

True

b)

False

11.

True or False?

Sixteen is less than twice a number

can be written as

 2x > 162x\ >\ 16 



a)

True

b)

False

12.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
13.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
14.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
15.
a)
a≤1
b)
a≤25
c)
a>1
d)
a<25
16.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

17.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
c)
Sometimes true on a Thursday
d)
Only true on Thursday
18.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
19.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
20.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
21.
Solve the inequality
x - 2 < 5
a)
x < 3
b)
x ≥ 7
c)
x < 7
d)
x ≤ 7
22.
Solve the inequality
12 ≥ 6w
a)
w > 2
b)
w < 2
c)
w ≥ 2
d)
w ≤ 2
23.
7n > 49
a)
n > 7
b)
n < 7
c)
n > 343
d)
n < 343
24.
n - 2 = 7, for n = 9
a)
Yes, it is a solution.
b)
No, it is not a solution.
25.
p/6 = 60, for p = 10
a)
Yes, it is a solution.
b)
No, it is not a solution.
26.
more than
a)
<
b)
>
c)
d)
27.
Less Than
a)
<
b)
>
c)
d)
28.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
29.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
30.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
31.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
32.
Less than or equal to
a)
<
b)
>
c)
d)
33.
Greater than
a)
<
b)
>
c)
d)
34.
Is 9 a possible solution for k<7 ?
a)
Yes
b)
No
35.
Is 6.8 a possible solution for p ≤ 7 ?
a)
Yes
b)
No
36.
Determine whether each value is a solution.
9 + x = 35 for x = 26
a)
Yes
b)
No
37.
Determine whether each value is a solution.
x + 46 = 214 for x = 168
a)
Yes
b)
No
38.
How many solutions does an equation have?
a)
One Solution
b)
Infinitely Many Solutions
c)
No Solutions
d)
Two Solutions
39.
Tell whether the given value is a solution to the inequality
x - 5 ≤ 10 ;  x = 6
a)
IS a solution
b)
IS NOT a solution
40.
Tell whether the given value is a solution to the inequality
y + 4 < 16 ;  y = 13
a)
IS a solution
b)
IS NOT a solution
41.
Tell whether the given value is a solution to the inequality.
5 + j > 8; j = 7
a)
Yes
b)
No