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Worksheets

one step inequalites

Total questions: 63

Worksheet time: 2hrs 42mins

Name
Class
Date
1.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
2.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
3.
4 + b = 30
a)
-34
b)
34
c)
-26
d)
26
4.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
5.
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.
6.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
7.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
8.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
9.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
d)
x = 3
10.
y/-5 = 20
a)
y = 100
b)
y = -4
c)
y = -100
d)
y = -15
11.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
12.
x ÷ 2 = 12
a)
x = 24
b)
x = 6
c)
x = 20
d)
x = 10
13.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
14.
The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.
a)
25x=125,
x = 5 feet
b)
x+22=125,
x = 20 feet
c)
x-25=125
x=150 feet
d)
25x=125
x=3,125 feet
15.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
16.
Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
a)
j - 3 = 12
b)
s - 3 = 12
c)
s + 3 = 12
d)
j + 12 = 3
17.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
18.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
19.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
20.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
21.
y - 14 = 66
a)
80
b)
52
c)
79
d)
Answer Not Given
22.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
23.
Is the solution to x+3=5 greater than, less than, or equal to 5?
a)
Greater than
b)
Less than
c)
Equal to
d)
All of the above
24.
8 = x - 1
a)
x = 8
b)
x = 1
c)
x = 7
d)
x = 9
25.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
26.

2 + n =16

a)

18

b)

-18

c)

14

d)

-14

27.

y + 51 = 99

a)

140

b)

150

c)

48

d)

Answer not Given

28.
j + 17 = 19
a)
-2
b)
2
c)
-36
d)
36
29.
r - 16 = 5
a)
-11
b)
11
c)
-21
d)
21
30.
9 + t = 56
a)
-47
b)
47
c)
-65
d)
65
31.
10 + c = 25
a)
-15
b)
15
c)
-35
d)
35
32.

how would you solve this equation: 9x=153?

a)

multiply

b)

divide

c)

add

d)

subtract

33.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
34.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
35.
7.    -4y = 48
a)
x = -52
b)
x = -12
c)
x = -44
d)
x = -13
36.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
37.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
38.
23 < f + 12
a)
f > 11
b)
f > 35
c)
f < 35
d)
f < 11
39.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
40.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
41.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
42.
Which inequality is represented by this graph?
a)
 2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
43.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
44.
A chef has 7 pounds of potatoes.  She needs more than 14 pounds for dinner.  What inequality describes the amount of potatoes the chef needs to buy?
a)
x - 7 > 14
b)
x + 7 > 14
c)
x - 7 < 14
d)
x + 7 < 14
45.
Does the sign need to flip when solving?
8y < (-40)
a)
YES
b)
NO
46.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
47.
26 < f + 32
a)
f > -6
b)
f < -6
c)
f < 6
d)
f < 55
48.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
49.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
50.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
51.
Which represents the word sentence as an inequality?
A number w is smaller than 5.
a)
w < 5
b)
w > 5
c)
w ≤ 5
d)
w ≥ 5
52.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
53.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
54.
Will my circle be colored in?
5 ≥ x
a)
Yes
b)
No
55.
Will my circle be colored in?
5 ≥ x
a)
Yes
b)
No
56.
The keywords "at most" are used with which of the following symbols?
a)
b)
>
c)
<
d)
57.
The keywords "at least" are used with which of the following symbols?
a)
b)
c)
>
d)
<
58.
14 ≥ x - 8
a)
22 ≥ x
b)
-22 ≥ x
c)
6 ≥ x
d)
-6 ≥ x
59.
Which of the following symbols means "less than"?
a)
<
b)
>
c)
d)
60.
Which of the following symbols means "more than"?
a)
>
b)
<
c)
d)
61.
Which of the following symbols means "less than or equal to"?
a)
b)
<
c)
>
d)
62.
Which of the following symbols means "greater than or equal to"?
a)
b)
c)
>
d)
<
63.
The keywords "not equal to" are used with which of the following symbols?
a)
b)
c)
>
d)
<