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Inequalities - Pretest (12/4/24)

Total questions: 80

Worksheet time: 1hrs 20mins

Name
Class
Date
1.
If m > 17, which is a possible value for m?
a)
12
b)
10
c)
23
d)
7
2.
If s ≤ 35, which is NOT a solution of the inequality?
a)
25
b)
35
c)
42
d)
30
3.

The band practice will be less than 45 minutes long on Friday. Which inequality represents this situation?

a)

p < 45

b)

p > 45

c)

p ≤ 45

d)

p ≥ 45

4.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
5.

Zach can spend at most $100 on new cloths. Which inequality represents this situation?

a)

s < 100

b)

s > 100

c)

s ≤ 100

d)

s ≥ 100

6.

Mike has at least $250 in his savings account. Which inequality represents this situation?

a)

m < 250

b)

m > 250

c)

m ≤ 250

d)

m ≥ 250

7.

All items at Pat's Pasta cost more than $10. Which inequality represents this situation?

a)

i < 10

b)

i > 10

c)

i ≤ 10

d)

i ≥ 10

8.

You have to be taller than 48 inches to ride the roller coaster. Which inequality represents this situation?

a)

r < 48

b)

r > 48

c)

r ≤ 48

d)

r ≥ 48

9.

You have to be 18 or older to buy a Powerball lottery ticket. Which inequality represents this situation?

a)

p < 18

b)

p > 18

c)

p ≤ 18

d)

p ≥ 18

10.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

11.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
12.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
13.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
14.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
15.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
16.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
17.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
18.
-3 + x ≤ -11
a)
x ≤ -8
b)
x ≤ 8
c)
x ≥ -8
d)
x ≥ 8
19.
6x - 4 ≥ 26
a)
x ≥ 3.67
b)
x ≥ 5
c)
x < 5
d)
x ≤ 5
20.
-4x-7≥21
a)
x≥7
b)
x≥-8
c)
x≤8
d)
x≤-8
21.
Solve the inequality.
30 + n ≥ 50
a)
x > 50
b)
x > 80
c)
x < 30
d)
x > 20
22.
Greater than
a)
<
b)
>
c)
d)
23.
Less Than
a)
<
b)
>
c)
d)
24.
Less than or equal to
a)
<
b)
>
c)
d)
25.
Greater than or equal to
a)
<
b)
>
c)
d)
26.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
27.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
28.
Which graph represents the inequality  6 > x
a)
A
b)
B
c)
C
d)
D
29.
When graphing an inequality, you use an OPEN dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
30.
When you graph an inequality, you used a CLOSED dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
31.
What symbol could go in the box to make a true statement?
9 ___  -9
a)
>
b)
<
c)
d)
32.
Is the statement true of false.
15 < -12
a)
True
b)
False
33.
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
34.
Greater than
a)
<
b)
>
c)
d)
35.
Less than or equal to:
a)
b)
<
c)
>
d)
36.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
37.
When graphing b ≤ 6 would you use an open or closed circle?
a)
Open
b)
closed
38.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
39.
The ticket to the movie costs $10.  How much money should Kristin take with her?
Let x represent the amount of money Kristin takes with her.
a)
x > 10
b)
x ≥ 10
c)
x < 10
d)
x ≤ 10
40.
Karen has $25 to buy her best friend a gift.  How much can the gift cost?
Let x represent the cost of the gift.
a)
x > 25
b)
x ≥ 25
c)
x < 25
d)
x ≤ 25
41.
Tracy's car can fit up to 5 friends.  Which inequality represents the number of friends she can drive?
Let x represent the number of friends Tracy can fit in her car.
a)
x > 5
b)
x ≥ 5
c)
x < 5
d)
x ≤ 5
42.
Would your graph go to the left or right when you graph x ≥ 4?
a)
Left
b)
Right
43.

\le  is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

44.

>>  is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

45.

\ge  is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

46.

<<  is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

47.

Solution sets to inequalities can be graphed on__________

a)

number lines

b)

tables

c)

calculators

d)

in the sky

48.

Draw a picture of your favorite food

49.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
50.

What is this symbol called?

\le  

a)

Less Than

b)

Greater Than

c)

Less Than or Equal to

d)

Greater Than or Equal to

51.

What inequality symbol is GREATER THAN?

a)

<<  

b)

>>  

c)

\le  

d)

\ge  

52.

Select the symbol that make a CLOSED circle:

a)

<<  

b)

\le  

c)

>>  

d)

\ne  

53.

You must be under 4 feet tall to ride this ride.

a)

t > 4

b)

t < 4

c)

t > 4

d)

t < 4

54.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
55.

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

a)

≤, ≥

b)

<, >

56.

Pick the correct letter for: x < 6

a)

A

b)

B

c)

C

d)

D

57.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
58.
Addie saved more than $36. Which inequality represents the amount that she saved? 
a)
s > 36
b)
s < 36
c)
s ≤ 36
d)
s ≥ 36
59.

Minimum speed is 40 mph.

a)

s > 40

b)

s < 40

c)

s ≤ 40

d)

s ≥ 40

60.

You must be at least 56" tall to ride this ride.

a)

h > 56

b)

h < 56

c)

h ≤ 56

d)

h ≥ 56

61.

6 people maximum on this elevator.

a)

p > 6

b)

p < 6

c)

p ≤ 6

d)

p ≥ 6

62.

The speed limit is 25 mph

a)

s > 25

b)

s < 25

c)

s ≤ 25

d)

s ≥ 25

63.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

64.

Mike has at least $250 in his savings account. Which inequality represents this situation?

a)

m < 250

b)

m > 250

c)

m ≤ 250

d)

m ≥ 250

65.

Zach can spend at most $100 on new cloths. Which inequality represents this situation?

a)

z < 100

b)

z > 100

c)

z ≤ 100

d)

z ≥ 100

66.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
67.

What inequality symbol goes with is at least?

a)

<

b)

>

c)

d)

68.

Select all values that are solutions to the inequality x < 20

a)

0

b)

100

c)

10

d)

50

69.
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
70.

What symbol is less than or equal to?

a)

b)

c)

d)

71.

When will an inequality have an open circle? Select two correct answers.

a)

b)

c)

d)

72.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
73.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
74.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
75.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
76.
 Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤  5
d)
x ≥ 5
77.
 Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤  5
d)
x ≥ 5
78.
x is less than or equal to 24
a)
x > 24
b)
x < 24
c)
x ≤ 24
d)
x ≥ 24
79.
x>5
a)
x is greater than 5
b)
x is less than 5
c)
x is zero
80.

You use an open dot when you have:

a)

<, >

b)

≤, ≥