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Worksheets

Inequalities

Total questions: 26

Worksheet time: 58mins

Name
Class
Date
1.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
2.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
3.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
4.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
5.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
6.
x - 4 > 5
a)
x < 9
b)
x ≥ 9 
c)
x > 1
d)
x > 9
7.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
8.
What inequality does the number line graph represent?
a)
-x + 4 ≥ -1
b)
-2x + 3 > -7
c)
-x + 1 < -4
d)
2x + 3 ≥ 13
9.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
10.
What inequality does the number line graph represent?
a)
-x + 5 ≥ 9
b)
2x - 3 > 5
c)
-x + 3 ≤ 7
d)
-2x + 6 > -2
11.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
12.

Select all of the values that are solutions to x͕ ≥ -8.

a)

-8.01

b)

8.01

c)

8

d)

-8

13.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

14.

When graphing do you use an open or closed circle for < ?

a)

Open

b)

Closed

15.

Which graph represents the inequality 2x + 3 < 7

a)
b)
c)
d)
16.

10 - 3x < 16

a)

x < -2

b)

x > -2

c)

x < 2

d)

x > 2

17.

84 - 4x ≤ 52

a)

x > 8

b)

x < 8

c)

x > 8

d)

x < 8

18.

Which graph represents x > 2

a)
b)
c)
d)
19.

 h2<5\frac{h}{2}<-5  

a)

h > 10

b)

h > -10

c)

h < 10

d)

h < -10

20.

 k7> 2\frac{k}{-7}>\ 2  

a)

k > 14

b)

k > -14

c)

k < 14

d)

k < -14

21.

 2x + 5 > 132x\ +\ 5\ >\ 13  

a)

x > 4

b)

x > 9

c)

x < 3

d)

x < 4

22.

 5x  7  85x\ -\ 7\ \ge\ 8  

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

23.

 10x + 5  195-10x\ +\ 5\ \ge\ 195  

a)

x ≤ -19

b)

x ≥ -19

c)

x < -19

d)

x > -19

24.

 4x+14  54-4x+14\ ≤\ 54  

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

25.

 x2+4 < 7\frac{x}{2}+4\ <\ 7  

a)

x < 6

b)

x ≤ 6

c)

x < 5.5

d)

x < 3/2

26.

 x33 > 6\frac{x}{-3}-3\ >\ 6  

a)

x < 27

b)

x > -15

c)

x < -27

d)

x > -27