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WorksheetsSolving Inequalities Is It A Solution
Total questions: 26
Worksheet time: 26mins
Name
Class
Date
1.
When graphing an inequality, you use an open dot when you use which symbols?
a)
<, >
b)
≤, ≥
2.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
3.
Do I need to flip my sign when I solve this inequality?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
4.
Solve:
4b + 6 ≤ 18
4b + 6 ≤ 18
a)
b ≥ 3
b)
b ≤ 3
c)
b ≥ 48
d)
b ≤ 48
5.
Solve the following inequality:
-4x + 14 ≤ 54
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
6.
Solve:
-4(-7-5x) > 188
-4(-7-5x) > 188
a)
x < -32
b)
x > -32
c)
x < 8
d)
x > 8
7.
Solve:
a)
p ≤ -12
b)
p ≥ -12
c)
20 ≥ p
d)
20 ≤ p
8.
Solve
a)
a > 24
b)
a >150
c)
a < -23
d)
a > 6
9.
Solve
a)
r ≥ 6
b)
r ≥ 10.9
c)
r ≥ 30
d)
r ≥ 75
10.
3x + 5 + 2x > 35
a)
x>6
b)
x<6
c)
x>30
d)
x<30
11.
Which inequality symbol has a closed circle?
a)
<
b)
≤
12.
Solve the following inequality:
4x - 6 > x - 2
4x - 6 > x - 2
a)
x > 4/3
b)
x = 4
c)
x < 1/2
13.
Which of these means
a is less than b?
a is less than b?
a)
a > b
b)
a < b
c)
a ≠ b
d)
a = b
14.
Which of these means that d is more than f?
a)
d < f
b)
d ≥ f
c)
d > f
d)
d ≤ f
15.
What is this symbol?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
16.
What is this symbol?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
17.
Which of these means that x is greater than or equal to 12
a)
x ≥ 12
b)
x > 12
c)
x ≠ 12
d)
x ≥ 15
18.
Will my dot be colored in on a number line?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
19.
Will my dot be colored in on a number line?
3 < x
3 < x
a)
Yes
b)
No
20.
What does this equation mean?
-3 < x < 6
-3 < x < 6
a)
x is greater than 3
b)
x is greater than -3 and less than 6
c)
x is less than 6
d)
x is greater than -6 and less than 3
21.
Match the graph with its inequality.
a)
1 < x < 2
b)
-1 < x < 2
c)
-1 < x < -2
d)
1 < x < 4
22.
Match the graph with its inequality.
a)
0 ≤ x < 4
b)
0 ≤ x < -4
c)
0 < x < 3
d)
2 ≤ x < 3
23.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
24.
Solve and graph
Note: The blue is the solution
Note: The blue is the solution
a)
A
b)
B
c)
C
d)
D
25.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
26.
Solve
a)
A
b)
B
c)
C
d)
D
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