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WorksheetsInequalities Test Review
Total questions: 60
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)
<, >
c)
≤, <
d)
≥, >
3.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
4.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
5.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
6.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
7.
Will my dot be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
8.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
9.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
10.
Does the given value make the inequality true? x + 9 > 21, when x = 15
a)
True
b)
Not True
11.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
12.
7 is less than a number.
a)
x > 7
b)
x < 7
c)
x ≤ 7
d)
x ≥ 7
13.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
Closed
14.
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.
15.
25 < X - 10
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
16.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
≤
d)
≥
17.
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
18.
28 > m - 4
a)
m < 32
b)
m > 32
c)
m < 24
d)
m > 24
19.
4h < 8
a)
h<32
b)
h<2
c)
h<4
d)
h>2
20.
k/2 ≥ 8
a)
k≥16
b)
k≥6
c)
k≥4
d)
k≥10
21.
x/4 ≤ 8
a)
x≤2
b)
x≤32
c)
x≤12
d)
x≤4
22.
3g >12
a)
g>36
b)
g<36
c)
g>4
d)
g<4
23.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
24.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
25.
If Thomas spends $16, he will have less than $78. At least, how much money did Thomas have before he spent $16?
a)
$95
b)
$94
c)
$93
d)
$92
26.
Do I need to flip my sign?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
27.
Which is the solution of k/-12 ≤ -7?
a)
-84 ≥ k
b)
k ≤ 84
c)
k ≥ 84
d)
k ≥ -84
28.
3.6 - 4.85a ≥ -6.1
a)
2 ≤ a
b)
a ≤ 2
c)
-2 ≥ a
d)
a ≥ -2
29.
Choose the correct circle type (open or closed) and the direction of the arrow.
x take away 5 is less than 8
x take away 5 is less than 8
a)
open circle at 8, arrow going right
b)
closed circle at 8, arrow going left
c)
open circle at 8, arrow going left
d)
closed circle at 8, arrow going right
30.
An elevator has a maximum capacity of 500 pounds. If the luggage weighs 200 pounds, what is the maximum weight allowable for passengers (p).
a)
p ≤ 300
b)
p ≤ 500
c)
p ≥ 200
d)
p ≥ 500
31.
The quotient of a number and 8 is more than 2. Find the solution.
a)
x > 16
b)
x < 8
c)
x ≥ 2
d)
x ≤ 16
32.
To get an A on inequalities quiz, you need to score at least 50 points on a two-part test. You score 39 on the first part. What solution set represents how many more points you need?
a)
x ≤ 50
b)
x > 50
c)
x ≥ 11
d)
x > 11
33.
x is no more than 100
a)
x ≤ 100
b)
x ≥ 100
c)
x < 100
d)
x > 100
34.
Which inequality symbol represents the statement: "exceeds"?
a)
>
b)
≤
c)
≥
d)
<
35.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
36.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
37.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
38.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
Closed
39.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
40.
To stay within the budge, the area of the house and garage combined is at most 3000 square feet. The area of the garage is 528 square feet. Write and solve an inequality that represents the area of the house.
a)
a ≤ 2,472 square feet
b)
a < 2,472 square feet
c)
a ≥ 1,587 square feet
d)
a < 3,467 square feet
41.
You have $137.26 in a bank account. The bank requires you to have at least $50 in your account or else you are charged a fee. Write and solve an inequality that shows the amount you can write your next check for without being charged.
a)
x < $87.26
b)
x ≥ $76.51
c)
x ≤ $87.26
d)
x ≤ $187.26
42.
The hole for a fence post is 2 feet deep. The top of the fence post needs to be at least 4 feet above the ground. Write and solve an inequality that represents the required length of the fence post.
a)
x ≥ 6 feet
b)
x ≥ 4 feet
c)
x ≤ 6 feet
d)
x < 8 feet
43.
Solve the following inequality:
0 > s + π
0 > s + π
a)
s < π
b)
s > - π
c)
s < -π
d)
s > π
44.
The length of a rectangle is 5 feet and the width is x. The perimeter is less than 15 feet. Write and solve an inequality to find the value of x. (Remember perimeter is adding around the shape.)
a)
x < 5
b)
x < 2.5
c)
x < 10
d)
x > 2.5
45.
Your goal is to sell at least 50 boxes of cookies for your school fundraiser. Choose the inequality that represents your goal.
a)
x ≥ 50
b)
x ≤ 50
c)
x < 50
d)
x > 50
46.
Fewer Than
a)
<
b)
>
c)
≤
d)
≥
47.
No More Than
a)
<
b)
>
c)
≤
d)
≥
48.
At Least
a)
<
b)
>
c)
≤
d)
≥
49.
More Than
a)
<
b)
>
c)
≤
d)
≥
50.
No Fewer Than
a)
<
b)
>
c)
≤
d)
≥
51.
Below
a)
<
b)
>
c)
≤
d)
≥
52.
Not Above
a)
<
b)
>
c)
≤
d)
≥
53.
Not Below
a)
<
b)
>
c)
≤
d)
≥
54.
Less Than
a)
<
b)
>
c)
≤
d)
≥
55.
Not Exceeding
a)
<
b)
>
c)
≤
d)
≥
56.
At Most
a)
<
b)
>
c)
≤
d)
≥
57.
Above
a)
<
b)
>
c)
≤
d)
≥
58.
Greater
a)
<
b)
>
c)
≤
d)
≥
59.
Not Below
a)
<
b)
>
c)
≤
d)
≥
60.
Exceeding
a)
<
b)
>
c)
≤
d)
≥
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