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WorksheetsFCMS7 All things inequalities
Total questions: 48
Worksheet time: 1hrs 16mins
Name
Class
Date
1.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
2.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
3.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
4.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
5.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
6.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
7.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
8.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
9.
k/2 ≥ 8
a)
k≥16
b)
k≥6
c)
k≥4
d)
k≥10
10.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
11.
-3 ≥ x - 1
a)
2 ≥ x
b)
4 ≥ x
c)
-4 ≥ x
d)
-2 ≥ x
12.
Which is the solution of k/12 ≤ 7?
a)
-84 ≥ k
b)
k ≤ 84
c)
k ≥ 84
d)
k ≥ -84
13.
Solve the inequality:
x + 7 < 9
x + 7 < 9
a)
x < 2
b)
x < 16
c)
x < 63
d)
x < - 2
14.
x - 4 > 5
a)
x < 9
b)
x ≥ 9
c)
x > 1
d)
x > 9
15.
3g >12
a)
g>36
b)
g<36
c)
g>4
d)
g<4
16.
4 ≤ 6
a)
True
b)
False
17.
x - 3 ≤ 10
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
18.
Do I need to flip my sign?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
19.
Will my circle be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
20.
Which of the following inequalities would require you to flip the sign when solving?
a)
2x < 3
b)
3x > - 9
c)
-4x ≥ 10
d)
5x ≤ 15
21.
Write the inequality shown by the graph.
a)
c ≥ 4
b)
c < 4
c)
c > 4
d)
c ≤ 4
22.
Solve the following inequality
-6a > 24
-6a > 24
a)
a < 4
b)
a > -4
c)
a > 4
d)
a < -4
23.
Solve the inequality.
a)
k ≤ –11
b)
k ≤ –5
c)
k ≤ 8
d)
k ≤ –3
24.
Solve the Inequality. Show all the steps.
y + 2.6 < -3.4
y + 2.6 < -3.4
a)
y < 6
b)
y < -6
c)
y < -0.8
d)
y < 0.8
25.
Which of the following could be a solution to the inequality?
-4 + a > 12
-4 + a > 12
a)
a = 14
b)
a = 15
c)
a = 16
d)
a = 17
26.
What is the inverse operation of this equation?
2x = 14
2x = 14
a)
Subtraction
b)
Multiplication
c)
Addition
d)
Division
27.
Which graph matches the inequality
2.5 ≤ x?
2.5 ≤ x?
a)
A
b)
B
c)
C
d)
D
28.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
29.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
30.
If m > 17, which is a possible solution for m?
a)
12
b)
10
c)
23
d)
7
31.
If s ≤ 35, which is NOT a solution of the inequality?
a)
25
b)
35
c)
42
d)
30
32.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
33.
Solve the inequality and then choose which set of numbers ALL make the statement true.
5 ≦ -5y
5 ≦ -5y
a)
5, -6, 8
b)
-4, -6, -9
c)
1, -1, 0
d)
4, 5, 9
34.
Solve the inequality and then choose which set of numbers ALL make the statement true.
26 + h > -45
26 + h > -45
a)
-75, -45, -80
b)
7, 71, -100
c)
-71, 45, 15
d)
-56, -25, -3
35.
Which solution
IS NOT valid for this inequality?
17 ≥ w
IS NOT valid for this inequality?
17 ≥ w
a)
w = 17
b)
w = 14
c)
w = 0
d)
w = 18
36.
Pick the answer that is a possible solution for this inequality.
b + 12 > 4
b + 12 > 4
a)
8
b)
-8
c)
-9
d)
-16
37.
Pick the number that is a possible solution for the inequality
10x ≥ 150
10x ≥ 150
a)
2
b)
20
c)
5
d)
-15
38.
Pick the number that is a possible solution to the inequality
a/5 < 2
a/5 < 2
a)
17
b)
20
c)
10
d)
9
39.
Pick the number that could be a possible solution to the inequality
c - 12 ≥ 24
c - 12 ≥ 24
a)
42
b)
26
c)
24
d)
10
40.
Which value of k makes -12 > k + 24 a true statement?
a)
-38
b)
-12
c)
-6
d)
12
41.
Which of the following is a solution to -2y ≥ -4?
a)
1
b)
5
c)
4
d)
6
42.
If you were to graph x > 2, what would you do?
a)
put a closed dot on 2 and to the right
b)
put a closed dot on 2 and to the left
c)
put an open dot on 2 and to the right
d)
put an open dot on 2 and to the left
43.
What do you do to solve the graph of the inequality:
-2x ≤ 10
-2x ≤ 10
a)
divide by -2
b)
multiply by -2
c)
multiply by -2 and flip the inequality
d)
divide by -2 and flip the inequality
44.
How many answers are there in an inequality?
a)
0
b)
1
c)
2
d)
multiple
45.
-12w < -60
a)
w < -5
b)
w > -5
c)
w < 5
d)
w > 5
46.
m/-7 < 8
a)
m < -56
b)
m > -56
c)
m < 56
d)
m > 56
47.
Solve the inequality: 4c ≤ -28
a)
c ≤ -32
b)
c ≤ -7
c)
c ≥ -7
d)
c ≥ -24
48.
Solve and then match the correct solution & graph.
a)
A
b)
B
c)
C
d)
D
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