Worksheets5.1 Inequalities on a Number Line
Total questions: 60
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
Select the inequality shown
a)
x > 1
b)
x ≥ 1
c)
x < 1
d)
x ≤ 1
2.
Select the inequality shown
a)
x > 3
b)
x ≥ 3
c)
x < 3
d)
x ≤ 3
3.
Select the inequality shown
a)
x > 5
b)
x ≥ 5
c)
x < 5
d)
x ≤ 5
4.
Select the inequality shown
a)
x > 0
b)
x ≥ 0
c)
x < 0
d)
x ≤ 0
5.
Select the inequality shown
a)
x > -2
b)
x ≥ -2
c)
x < -2
d)
x ≤ -2
6.
Select the inequality shown
a)
x > -3
b)
x ≥ -3
c)
x < -3
d)
x ≤ -3
7.
Select the inequality shown
a)
x > -5
b)
x ≥ -5
c)
x < -5
d)
x ≤ -5
8.
Select the inequality shown
a)
x > 0
b)
x ≥ 0
c)
x < 0
d)
x ≤ 0
9.
Write x > 7 in words.
a)
x is greater than 7
b)
x is greater than or equal to 7
c)
x is less than 7
d)
x is less than or equal to 7
10.
Write x < -5 in words.
a)
x is greater than -5
b)
x is greater than or equal to -5
c)
x is less than -5
d)
x is less than or equal to -5
11.
Write x ≤ 23 in words.
a)
x is greater than 23
b)
x is greater than or equal to 23
c)
x is less than 23
d)
x is less than or equal to 23
12.
Write x ≥ -2 in words.
a)
x is greater than -2
b)
x is greater than or equal to -2
c)
x is less than -2
d)
x is less than or equal to -2
13.
Rewrite the expression with the variable on the left.
19 < g
19 < g
a)
g > 19
b)
g < 19
14.
Write an inequality: A trainer advises an athlete to keep his heart rate under 140 beats per minute.
a)
r < 140
b)
r > 140
c)
r ≥ 140
d)
r ≤ 140
15.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
16.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
17.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
18.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
19.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
20.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
21.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
22.
Which graph matches the inequality
k < 3?
k < 3?
a)
A
b)
B
c)
C
d)
D
23.
Which graph matches the inequality
r ≥ -6?
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
24.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
25.
Rewrite the expression with the variable on the left.
17 ≥ p
17 ≥ p
a)
p ≤ 17
b)
p ≥ 17
26.
Which phrase best describes the graph of 4 > b?
a)
open circle, arrow pointing left
b)
open circle, arrow pointing right
c)
closed circle, arrow pointing right
d)
closed circle, arrow pointing left
27.
Write an inequality: There must be at least 20 club members present to hold a meeting.
a)
m > 20
b)
m < 20
c)
m ≤ 20
d)
m ≥ 20
28.
The phrase "at least" means
a)
<
b)
>
c)
≤
d)
≥
29.
The phrase "no more than" means
a)
<
b)
>
c)
≤
d)
≥
30.
Write an inequality: The maximum speed allowed on Main Street is 25 mph.
a)
s < 25
b)
s > 25
c)
s ≥ 25
d)
s ≤ 25
31.
What happens to the inequality symbol when you MULTIPLY or DIVIDE by a NEGATIVE number?
a)
It stays the same
b)
It flips
32.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
33.
Solve the inequality.
30 + n ≥ 50
a)
n ≥ 50
b)
x ≥ 80
c)
n ≤ 30
d)
n ≥ 20
34.
Will my dot be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
35.
Does the sign need to flip when solving?
-2x ≥ 22
-2x ≥ 22
a)
YES
b)
NO
36.
Solve
-5m < 10
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
37.
Solve
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
38.
Does the sign need to flip when solving?
8y < (-40)
8y < (-40)
a)
YES
b)
NO
39.
Solve for t.
6t + 4 ≤ -2
6t + 4 ≤ -2
a)
t ≤ -1
b)
t ≤ 1
c)
t=1
d)
1=t
40.
s - 10 ≤ 1
a)
s ≤ 11
b)
s ≤ 9
c)
s ≥ 11
d)
s ≥ 9
41.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
42.
x + 4 < 4
a)
x < 0
b)
x >0
c)
x < 8
d)
x > 8
43.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
44.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
45.
Solve: x + 7 < 12
a)
x < 19
b)
x > 5
c)
x < 5
d)
x > 19
46.
Solve.
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
47.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
48.
-13t > 26
a)
t > -2
b)
t > 2
c)
t < 2
d)
t < -2
49.
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
50.
a)
x ≥ 5
b)
x ≥ 20
c)
x ≤ 5
d)
x ≤ 20
51.
a)
h > 10
b)
h > -10
c)
h < 10
d)
h < -10
52.
Will my dot be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
53.
Does the sign need to flip when solving?
-2x ≥ 22
-2x ≥ 22
a)
YES
b)
NO
54.
When solving the inequality −9x>27 you must flip the inequality symbol.
a)
True
b)
False
55.
-15 < 5b
a)
b < -3
b)
b > -1/3
c)
b > -3
d)
b > 1/3
56.
Solve
-5m < 10
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
57.
-6a > -78
a)
a < 13
b)
a< -13
c)
a > 13
d)
a>-13
58.
18 > -2g
a)
g > 9
b)
g > -9
c)
g< -9
d)
g < 9
59.
4m > -8
a)
m > -2
b)
m< -2
c)
m >-12
d)
m >-4
60.
Solve the inequality.
a)
x ≤ 6
b)
x ≥ 6
c)
x ≤ -6
d)
x ≥ -6
100 %
