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WorksheetsInequalities (Early Finishers)
Total questions: 60
Worksheet time: 3hrs 10mins
Name
Class
Date
1.
Match the graph with its inequality. hint: don't be tricked by the variable on the right.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
2.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
3.
Which inequality is represented by this graph? hint: don't be tricked by the variable on the left
a)
2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
4.
Will my circle be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
5.
Which of the following is a solution to the inequality?
m < 25
m < 25
a)
m = 30
b)
m = 25
c)
m = − 91
d)
m = 27
6.
x is no more than 100
a)
x ≤ 100
b)
x ≥ 100
c)
x < 100
d)
x > 100
7.
Which inequality symbol represents the statement.
Exceeds
Exceeds
a)
>
b)
≤
c)
≥
d)
<
8.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
9.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
10.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
11.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
12.
At Gas 'n' Wash, gasoline sells for $3 a gallon and a car wash for $12. Sam wants to have his car washed and keep his total purchase under $60. Which inequality represents the maximum amount of gas that he can buy?
a)
3x + 12 > 60
b)
12x + 60 < 3
c)
x/3 + 60 > 12
d)
3x + 12 < 60
13.
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
a)
5x + 10 ≥ 100
b)
5x - 100 ≥ 10
c)
10x + 5 ≤ 100
d)
5x + 10 > 100
14.
Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?
a)
20x + 120 ≥ 3
b)
x/3 + 20 ≤ 120
c)
3x + 20 ≤ 120
d)
3x + 20 ≥ 120
15.
The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?
a)
125x + 55 ≤ 600
b)
125x + 55 ≥ 600
c)
125x + 55 > 600
d)
125x + 55 < 600
16.
An electronics store sells DVD players and cordless telephones. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of at least $255.00 from its sales of DVD players and cordless phones. Which inequality describes this situation?
a)
75d + 30c < 255
b)
75c + 30d > 255
c)
75c + 30d ≤ 255
d)
75d + 30c ≥ 255
17.
Which point makes the inequality true?
-x/3 + 4 > 7
-x/3 + 4 > 7
a)
x = 3
b)
x = -9
c)
x = 4
d)
x = -15
18.
Grace earns $7 for each car she washes. She always saves $25 of her weekly earnings. This week she wants to have at least $65 in spending money. Which inequality represents how many cars she must wash?
a)
25 - 7x ≤ 65
b)
7x - 25 ≥ 65
c)
7x - 65 ≥ 25
d)
x/25 - 65 > 7
19.
The 23 members of the school jazz band are trying to raise at least $1800 to cover the cost of traveling to a competition. The members have already raised $750. Which inequality represents this situation if they are trying to find out how much money each person needs to raise?
a)
750 + 23x > 1800
b)
750x + 1800 > 23
c)
23x + 1800 ≥ 750
d)
750 + 23x ≥ 1800
20.
Benton is going shopping. He wants to spend less than $250. If he bought shirts that are $30 each and a pair of shoes for $120, how many shirts did he buy? Which inequality represents this situation?
a)
30x + 120 > 250
b)
30x + 120 < 250
c)
30x + 120 ≥ 250
d)
30x + 120 ≤ 250
21.
Dale has $25 to spend at a carnival. If the admission to the carnival is $4 and the rides cost $1.50 each, which inequality represents the greatest number of carnival rides Dale can go on?
a)
1.5x + 4 ≤ 25
b)
1.5x + 25 > 4
c)
4x + 1.5 ≤ 25
d)
25x + 1.5 > 4
22.
2x + 6 ≥ -8
a)
x ≥ -7
b)
x ≤ -7
c)
x ≥ -10
d)
x ≤ -10
23.
2x + 3 < 9
a)
x < 3
b)
x > 3
c)
x > 1.5
d)
x < 1.5
24.
-x − 8 ≥ -5
a)
x ≤ -3
b)
x ≥ -3
c)
x ≤ 13
d)
x ≥ 13
26.
x + -4 ≤ -3
a)
x ≤ 1
b)
x ≥ 1
c)
x ≤ -7
d)
x ≥ -7
26.
x + -4 ≤ -3
a)
x ≤ 1
b)
x ≥ 1
c)
x ≤ -7
d)
x ≥ -7
27.
-3x − 4 < 5
a)
x > -3
b)
x < -3
c)
x < (1 ⁄ 3)
d)
x > (1 ⁄ 3)
28.
-x − 5 ≥ 8
a)
x ≤ -13
b)
x ≥ -13
c)
x ≥ -3
d)
x ≥ 3
29.
-3x ≤ 27
a)
x ≥ -9
b)
x ≤ -9
c)
x ≤ 9
d)
x ≤ 30
30.
5x < 5
a)
x < 1
b)
x > 1
c)
x > 0
d)
x < 25
31.
-2x − 15 ≤ 3
a)
x ≥ -9
b)
x ≤ -9
c)
x ≥ 9
d)
x ≤ 6
32.
4x ≥ 24
a)
x ≥ 6
b)
x ≤ 6
c)
x ≥ 20
d)
x ≤ 28
33.
4x − 2 < 0
a)
x < (1 ⁄ 2)
b)
x > (1 ⁄ 2)
c)
x < -(1 ⁄ 2)
d)
x > -(1 ⁄ 2)
34.
-15 ≤ -3x
a)
x ≤ 5
b)
x ≥ 5
c)
x ≥ -18
d)
x ≤ -12
35.
9x + 7 ≤ 8x − 2
a)
x ≤ -9
b)
x ≥ -9
c)
x ≤ 5
d)
x ≥ 5
36.
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
a)
A
b)
B
c)
C
d)
D
40.
a)
A
b)
B
c)
C
d)
D
41.
a)
A
b)
B
c)
C
d)
D
42.
a)
A
b)
B
c)
C
d)
D
43.
a)
A
b)
B
c)
C
d)
D
44.
a)
A
b)
B
c)
C
d)
D
45.
a)
A
b)
B
c)
C
d)
D
46.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
47.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
48.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
49.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
50.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
51.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
52.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
53.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
54.
7 is less than a number.
a)
x > 7
b)
x < 7
c)
x ≤ 7
d)
x ≥ 7
55.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
56.
X - 10 > 25
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
57.
The product of x and 7 is not greater than 10
a)
7x >10
b)
7x ≤ 10
c)
7 + x < 10
d)
7 / x < 10
58.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
59.
3g >12
a)
g>36
b)
g<36
c)
g>4
d)
g<4
60.
4h<8
a)
h<32
b)
h<2
c)
h<4
d)
h>2
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