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Inequalities Pre (Quiz)

Total questions: 30

Worksheet time: 48mins

Name
Class
Date
1.

Which number is a solution to the inequality below?

b > 11.3b\ >\ 11.3  

a)

15

b)

9

c)

4

d)

-14

2.

Which number is a solution to the inequality below?

m > 133m\ >\ \frac{13}{3}  

a)

3

b)

5

c)

2

d)

-9

3.

Solve for x. (Use the image to identify the correct inequality and graph.)

x  1  9x\ -\ 1\ \le\ -9  

a)

A

b)

B

c)

C

d)

D

4.

Solve for c. (Use the image to identify the correct inequality and graph.)

c  5  6c\ -\ 5\ \le\ 6  

a)

A

b)

B

c)

C

d)

D

5.

Solve for x. (Use the image to identify the correct inequality and graph.)

x4  2\frac{x}{-4}\ \le\ 2  

a)

A

b)

B

c)

C

d)

D

6.

Solve for t. (Use the image to identify the correct inequality and graph.)

t10  7 < 1\frac{t}{10}\ -\ 7\ <\ -1  

a)

A

b)

B

c)

C

d)

D

7.

Solve the inequality.

2(b  8) > 122\left(b\ -\ 8\right)\ >\ 12  

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

8.

Solve the inequality.

4d  9  3-4d\ -\ 9\ \le\ 3  

a)

d  613d\ \ge\ \frac{6}{13}  

b)

d  313d\ \ge\ \frac{3}{13}  

c)

d  112d\ \ge\ -1\frac{1}{2}  

d)

d  3d\ \ge\ -3  

9.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
10.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
11.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

12.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
13.
What inequality does the number line graph represent? (Hint: You may have to solve each inequality.)
a)
x + 2 < 5
b)
3x ≥ 9
c)
2x - 1 > 5
d)
x + 3 < 0
14.

Which of the following situations shows the need to flip the inequality sign?

a)

3x<93x<-9

b)

x4>8\frac{x}{-4}>8

c)

x24x-2\le-4

d)

x16x--1\ge6

15.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
16.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
17.
You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
18.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

19.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

20.

When adding or subtracting to solve an inequality, switch the inequality.

a)

a. True

b)

b. False

21.

A student must be at least 15 years old (15 years old or older) to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

22.

To order from the kids menu a person must be no more than 12 years old (less than or equal to 12 years old).

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

23.

Match:

You must be at least 48 inches tall (greater than or equal to 48 inches) to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

24.
Write the inequality:
There are fewer than 20 days left in October. 
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
25.

The temperature dropped 11° in the last hour. The temperature is currently below 50°F. Which of the following could be used to determine the temperature, t, one hour ago?

a)

t – 11 < 50

b)

t – 11 > 50

c)

t – 11 ≤ 50

d)

t – 11 = 50

26.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
27.
x + 8 < 3 or - 8x < -40 
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5 
d)
x > -5 and x < 5 
28.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

29.

-2 < x - 9 < 3

a)

x < 12

b)

7 < x

c)

7 < x < 12

30.
You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?
a)
2x + 10 ≥ 25
b)
2x + 10 > 20
c)
2x + 10 ≤ 25
d)
2x + 10 < 25