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6th Grade Inequalities Review

Total questions: 68

Worksheet time: 2hrs 59mins

Name
Class
Date
1.
What is this symbol?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
2.
What is this symbol?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
3.
Which of these means that x is greater than or equal to 12
a)
x ≥ 12
b)
x  > 12
c)
x ≠ 12
d)
x ≥ 15
4.
x is less than 9
a)
x < 9
b)
x > 9
c)
x ≥ 9
d)
x ≤ 9
5.
What symbol could go in the box to make a true statement?
9 ___  -9
a)
>
b)
<
c)
≥
d)
≤
6.
What symbol could go in the box to make a true statement?
71  ___  2
a)
>
b)
<
c)
≥
d)
≤
7.
Is the statement true of false.
15 < -12
a)
True
b)
False
8.
Is the statement true of false.
-17 > -18
a)
True
b)
False
9.
Is the statement true of false.
-6 > -5
a)
True
b)
False
10.
Which inequality symbol represents the statement.
Less Than
a)
>
b)
≤
c)
≥
d)
<
11.
Which inequality symbol represents the statement.
Greater Than or Equal To
a)
>
b)
≤
c)
≥
d)
<
12.
Greater than
a)
<
b)
>
c)
≤
d)
≥
13.
Less Than
a)
<
b)
>
c)
≤
d)
≥
14.
Less than or equal to
a)
<
b)
>
c)
≤
d)
≥
15.
Greater than or equal to
a)
<
b)
>
c)
≤
d)
≥
16.

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

17.

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

18.

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

19.

A parent has to ride the bouncing frog ride with any child less than 36 inches tall. Which inequality represents this situation?

a)

c < 36

b)

c > 36

c)

c ≤ 36

d)

c ≥ 36

20.

Match the inequality clue word with the correct inequality symbol. IS LESS THAN

a)

≤\le

b)

≥\ge

c)

<<

d)

>>

21.

Match the inequality clue word with the correct inequality symbol.  IS GREATER THAN

a)

≤\le

b)

≥\ge

c)

<<

d)

>>

22.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
23.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
24.
a)

A

b)

B

c)

C

d)

D

25.
a)

A

b)

B

c)

C

d)

D

26.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
27.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
28.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
29.

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

a)

≤, ≥ 

b)

<, >

30.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥ 

31.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

32.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

33.
x is less than or equal to 24
a)
x > 24
b)
x < 24
c)
x ≤ 24
d)
x ≥ 24
34.
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
35.

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

36.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

37.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

38.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

39.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which represents an amount that will require the bank to send a notice?

a)

$18

b)

$19

c)

$20

d)

$21

e)

$22

40.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which inequality represents when Mr. Gomez will receive a notice from the bank?

a)

x<20

b)

x>20

c)

x>20

d)

x<20

41.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

42.

Antavius must score at least 4 more points in the game this weekend than he did in the last game to be the top scorer for his team. In the last game he scored 13 points. Which inequality represents what Antavius must score, s, to be the team's top scorer?

a)

s>4

b)

s>13

c)

s>17

43.

Andy runs the same number of miles, x, every day. His total distance run for one week is less than 60 miles. Which inequality represents how many miles Andy runs each day?

a)

7 + x > 60

b)

7 + x < 60

c)

7x>60

d)

7x<60

44.

When the following inequality is graphed, what will it look like?


y>-1

a)

open circle

b)

closed circle

45.

When the following inequality is graphed, what will it look like?


z < - 1/2

a)

open circle

b)

closed circle

46.

When the following inequality is graphed, what will it look like?


y<5

a)

open circle

b)

closed circle

47.

When the following inequality is graphed, what will it look like?


r < -12.97

a)

open circle

b)

closed circle

48.

When the following inequality is graphed, what will it look like?


2 > f

a)

open circle

b)

closed circle

49.

When the following inequality is graphed, what will it look like?


5.0825 < c

a)

open circle

b)

closed circle

50.

When the following inequality is graphed, what will it look like?


"Kelsey has at most 10 dollars"

a)

open circle

b)

closed circle

51.

When the following inequality is graphed, what will it look like?


"Alex will spend less than 35 minutes playing video games"

a)

open circle

b)

closed circle

52.
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 

53.
- 2k > 18
a)

k is greater than 20

b)

k is less than negative 9

c)

k is greater than negative 9

d)

k is less than 36 

54.
8x ≥ -32
a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

55.
more than
a)

<

b)

>

c)

≤

d)

≥

56.
Fewer Than
a)

<

b)

>

c)

≤

d)

≥

57.
No More Than
a)

<

b)

>

c)

≤

d)

≥

58.
At Least
a)

<

b)

>

c)

≤

d)

≥

59.
less than or equal to
a)

<

b)

>

c)

≤

d)

≥

60.

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

61.
Pick the correct inequality.
a)

A

b)

B

c)

C

d)

D

62.
What inequality does the number line graph represent?
a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

63.
When graphing b< 6 would you use an open or closed circle?
a)

Open

b)

closed

64.
Will my circle be colored in?
5 ≥ x
a)

Yes

b)

No

65.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
66.
Which represents the word sentence as an inequality?
A number w is smaller than 5.
a)

w < 5

b)

w > 5

c)

w ≤ 5

d)

w ≥ 5

67.
Which inequality represents the below statement. I can have no more than 10 pieces of candy. 
a)

x ≥ 10

b)

x > 10 

c)

x ≤ 10 

d)

x < 10 

68.
10 ≥ x - 3
a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

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