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Read and Graph Inequalities

Total questions: 26

Worksheet time: 38mins

Name
Class
Date
1.
Which of the following is a solution to the inequality?  
m < 25
a)
m = 30
b)
m = 25
c)
m = − 91
d)
m = 27
2.
What does this symbol mean?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
3.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
4.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
5.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
6.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
7.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
8.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
9.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
10.
Flip the inequality sign when you...
a)
Divide or multiply
b)
Add or subtract by a positive number
c)
Divide or multiply by a negative number
d)
Always
11.
Show your work for #11-26.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
12.
Show your work for #11-26.
c - 7 > 8
a)
c < 15
b)
c > 15
c)
c < - 15
d)
c >, = 15
13.
Show your work for #11-26.
Solve the inequality.
30 + x ≥ 50
a)
x ≥ 50
b)
x ≥ 80
c)
x < 30
d)
x ≥ 20
14.
Show your work for #11-26.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
15.
Show your work for #11-26.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
16.
Show your work for #11-26.
8x > 42
a)
x > 5.25
b)
x  > 5
c)
x >5.5
d)
x > 336
17.
2x + 5 > -13
a)
x <  -9
b)
x < 9
c)
x > 9
d)
x > -9
18.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
19.
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
20.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
21.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
22.
5z - 2 - 2z < 13
a)
z > 5
b)
z < 5
c)
z > 1
d)
z < 1
23.
Solve:     5( 6 + 3r) + 7 ≥ 127
a)
r ≤ 6
b)
r ≥ 6
c)
r ≤ -6
d)
r ≥ -6
24.
-5(1 - 4a) > -5
a)
a > 0
b)
a < 5
c)
a < 0
d)
a > 5
25.
Solve for y
-4 ≤ 4(6y - 12) - 2y
a)
y ≤ 2
b)
y < 5
c)
y ≥ 2
d)
y ≥ 3
26.
Solve for j
-3(j + 3) + 9j < -15
a)
j > -1
b)
j < 1
c)
j ≥ 0
d)
j < -1