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WorksheetsCh. 7 Inequalities Test Review
Total questions: 60
Worksheet time: 2hrs 16mins
Name
Class
Date
1.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
2.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
3.
a)
A)
b)
B)
c)
C)
d)
D)
4.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
5.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
6.
What type of circle will be used?
5 ≥ x
5 ≥ x
a)
Open
b)
Closed
7.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < 3
d)
x ≤ 3
8.
What inequality does the number line graph represent?
a)
-5 ≥ x
b)
x < −5
c)
x > -5
d)
x ≥ −5
9.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
10.
When graphing c=12, would you use an open or closed circle?
a)
Open
b)
Closed
11.
What inequality does the number line graph represent?
a)
4 < x
b)
x > 4
c)
x < 4
d)
x ≤ 4
12.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
13.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
14.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
15.
Four times a number increased by 7 is at least 19.
a)
4x > 19
b)
4x + 7 ≥ 19
c)
4x < 19
d)
4x + 7 ≤ 19
16.
Inequalities have how many answers?
a)
one
b)
none
c)
many
17.
Which inequality is represented by the words " no more than" or "at most"?
a)
<
b)
>
c)
≤
d)
≥
18.
Translate the sentence into an inequality.
Seven less than n is greater than or equal to 18.
Seven less than n is greater than or equal to 18.
a)
n - 7 > 18
b)
7 - n ≥ 18
c)
n - 7 ≥ 18
d)
n + 7 ≥ 18
19.
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
20.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
21.
c - 7 > 8
a)
c < 15
b)
c > 15
c)
c < - 15
d)
c >, = 15
22.
Solve
y - 4 > 12
y - 4 > 12
a)
y > 16
b)
y < 16
c)
y > 8
d)
y < 8
23.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
24.
Solve the inequality for h:
h + 9 < 14
h + 9 < 14
a)
h < 5
b)
h < 23
c)
h > 5
d)
h > 23
25.
Solve the inequality:
x + 7 < 9
x + 7 < 9
a)
x < 2
b)
x < 16
c)
x < 63
26.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5
27.
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
28.
more than 16
a)
< 16
b)
> 16
c)
≤ 16
d)
≥ 16
29.
Erin can read at least 80 words per minute. Write an inequality to show this situation.
a)
x > 80
b)
x < 80
c)
x ≥ 80
d)
x ≤ 80
30.
Evaluate 2r + 1 if r = 3
a)
6
b)
5
c)
7
d)
8
31.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
32.
c - 7 > 8
a)
c < 15
b)
c > 15
c)
c < - 15
d)
c >, = 15
33.
Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?
a)
15h ≤ 105
b)
15h > 105
c)
15h < 105
d)
15h ≥ 105
34.
Match:
The postal scale will weigh a maximum of 50 lbs.
The postal scale will weigh a maximum of 50 lbs.
a)
p < 50
b)
p > 50
c)
p ≤ 50
d)
p ≥ 50
35.
To graph any number greater than we use
a)
open circle, line to the right
b)
open circle, line to the left
c)
closed circle to the right
d)
closed circle line to the left
36.
Keldric needs at least 25 calculators
which of these could we choose to give him.
which of these could we choose to give him.
a)
24 calculators
b)
29 calculators
c)
8 calculators
d)
16 calculators
37.
Solve the following inequality:
p - 4 < 2
p - 4 < 2
a)
p < - 2
b)
p < 6
c)
p > 6
d)
p < 8
38.
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
39.
Solve the following inequality:
-9.6 ≤ z - 2.1
-9.6 ≤ z - 2.1
a)
z > 7.5
b)
z ≥ 3.5
c)
z < 5.6
d)
z ≥ -7.5
40.
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
41.
Write an inequality that represents the situation:
The speed of the car must be no more than 61 miles per hour.
The speed of the car must be no more than 61 miles per hour.
a)
n > 61
b)
n ≥ 61
c)
n < 61
d)
n ≤ 61
42.
Your friend is watching your dog for the next 23 days. Your dog eats less than 46 treats every 23 days.
The inequality 23x < 46 models this situation. Solve the inequality to find the number of treats your friend should feed your dog each day.
The inequality 23x < 46 models this situation. Solve the inequality to find the number of treats your friend should feed your dog each day.
a)
x < 23
b)
x > 2
c)
x > 1,058
d)
x < 2
43.
When you solve one-step equations, you can do anything you want to one side of the equal sign, as long as...
a)
it is mathematical
b)
you do the SAME thing to the other side
c)
solving equations is impossible
d)
I love Snow Days!
44.
In an equation, you want to get the variable...
a)
on one side
b)
to disappear
c)
by itself
d)
to sing and dance
45.
To solve one-step equations, you have to use the ________________ operation.
a)
Integer
b)
Inverse
c)
Additive
d)
Subtractive
46.
The inverse operation of addition is _______________.
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
47.
What is the correct step to solve for the variable?
15 = m - 5
15 = m - 5
a)
add 5 to both sides
b)
add 15 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
48.
Evaluate (Solve):
f-22=36
a)
f = 62
b)
f = 14
c)
f = 58
d)
f = 12
49.
Solve for x.
x + 12 = 20
a)
x = 8
b)
x = -32
c)
x = 32
d)
x = -8
50.
Evaluate (solve).
y - 4.6 = 12
a)
y = 16.6
b)
y = 5.8
c)
y = 7.4
d)
Answer not Given
51.
y/3=12
a)
36
b)
-36
c)
4
d)
-4
52.
Solve the equation:
4p = 16
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
53.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
54.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side.
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
55.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
56.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
57.
What is the correct step to solve for the variable?
15 = m - 5
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
58.
m - 5 = -10
a)
-15
b)
15
c)
-5
d)
5
59.
Solve for the missing variable:
a)
m = 5
b)
m = 1/5
c)
m = 25
d)
m = 55
60.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
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