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WorksheetsInequalities
Total questions: 51
Worksheet time: 13hrs 45mins
Name
Class
Date
1.
Greater than
a)
<
b)
>
c)
≤
d)
≥
2.
Less Than
a)
<
b)
>
c)
≤
d)
≥
3.
Less than or equal to
a)
<
b)
>
c)
≤
d)
≥
4.
Greater than or equal to
a)
<
b)
>
c)
≤
d)
≥
5.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
6.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
7.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
8.
Which graph represents the inequality 6 > x
a)
A
b)
B
c)
C
d)
D
9.
Pick the correct inequality.
a)
x < -6
b)
x ≥ -6
c)
x > -6
d)
x ≤ -6
10.
When you graph an inequality, you used a CLOSED dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
11.
Makayla began with $45 in her account. She saved $15 every week, She now has more than $205.
a)
15w + 45 < 205
b)
15w + 45 > 205
c)
45a + 15 < 205
d)
45a + 15 > 205
12.
Carrie gets 5 points for each answer and has already earned 10 points of extra credit She needs at least 77 points to pass.
a)
10a + 5 ≥ 77
b)
5a + 10 ≥ 77
c)
5a + 10 > 77
d)
5a + 10 ≤ 77
13.
Joshua earned 12 per hour waiting tables then he spent $35 on gas. He now has less than $25 left.
a)
12h + 35 < 25
b)
12h - 35 < 25
c)
12h - 35 ≤ 25
d)
12h + 35 ≤ 25
14.
James used a $25 giftcard and bought a bunch of toys that cost $2 each for his little brothers. He still has over $10 left on the gift card
a)
25 - 2t < 10
b)
25 - 2t > 10
c)
25 + 2t > 10
d)
25 g - 2 > 10
15.
4x - 10 ≤ 22
a)
x ≤ 8
b)
x ≥ 8
c)
x ≤ 3
d)
x ≥ 3
16.
15 + 7x ≥ 29
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x > 2
17.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
18.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
19.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
20.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
21.
Which inequality could be used to represent the situation: you must donate at least $5 to get a free popcorn.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
22.
Which inequality could be used to represent the situation: Mrs. Bailey graded more than 5 papers with no name on them.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
23.
Which inequality could be used to represent the situation: At least 5 students wore jeans on jeans day.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
24.
Which inequality could be used to represent the situation: Less than 5 students purchased a slushie at lunch.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
25.
Which inequality could be used to represent the situation: At least 5 students earned an A on their last post assessment.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
26.
Which inequality could be used to represent the situation: A maximum of 5 students are chosen to be peer mediators.
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
27.
Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤ 5
d)
x ≥ 5
28.
To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.
a)
X < 5
b)
X > 5
c)
X ≥ 5
d)
X ≤ 5
29.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15
c)
x ≤ 15
d)
x ≥ 15
30.
To order from the kids menu a person must be no more than 12 years old.
a)
x > 12
b)
x < 12
c)
x ≥ 12
d)
x ≤ 12
31.
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.
a)
X > 5.05
b)
X ≥ 5. 05
c)
X > 69.95
d)
X ≥ 69.95
32.
When the following inequality is graphed, what will it look like?
"Kelsey has at most 10 dollars"
a)
open circle
b)
closed circle
33.
When the following inequality is graphed, what will it look like?
"Alex will spend less than 35 minutes playing video games"
a)
open circle
b)
closed circle
34.
When the following inequality is graphed, what will it look like?
2 > f
a)
open circle
b)
closed circle
35.
You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?
a)
x<10
b)
x>10
c)
x>10
d)
x<10
36.
Write the inequality:
The Chicago Cubs have won more than 100 games.
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
37.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
38.
In which inequality could x = 6?
a)
2x + 4 ≥ 17
b)
3x - 6 ≤ 7
c)
2x - 8 ≥ 6
d)
3x + 1 ≤ 19
39.
In which inequality could x = 8?
a)
2x + 4 ≥ 19
b)
3x - 6 ≤ 7
c)
2x - 8 ≥ 9
d)
3x + 1 ≤ 16
40.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
41.
Translate: 5 times a number is at least 60.
a)
5x < 60
b)
5x > 60
c)
5x ≤ 60
d)
5x ≥ 60
42.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
43.
x - 4 > 5
a)
x < 9
b)
x ≥ 9
c)
x > 1
d)
x > 9
44.
4h<8
a)
h<32
b)
h<2
c)
h<4
d)
h>2
45.
Solve the inequality.
30 + n ≥ 50
a)
n > 50
b)
n ≥ 80
c)
n < 30
d)
n ≥ 20
46.
Is x = 9 a solution to the given inequality.
x > 9
x > 9
a)
TRUE
b)
FALSE
47.
Is x = 12 a given solution to the inequality.
x > 5
x > 5
a)
TRUE
b)
FALSE
48.
Solve
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
49.
a)
y>14
b)
y>15
c)
y>16
d)
y≥15
50.
k/2≥8
a)
k≥16
b)
k≥6
c)
k≥4
d)
k≥10
51.
Solve and graph.
25v ≥ 300
25v ≥ 300
a)
A
b)
B
c)
C
d)
D
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