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SF - 7S - Chapter 4 - Part 2 - Inequalities

Total questions: 45

Worksheet time: 2hrs 9mins

Name
Class
Date
1.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

2.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
3.
Match the graph with its inequality.
a)
c > 9
b)
c < 9
c)
c ≥ 9
d)
c ≤ 9
4.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
≤
d)
≥
5.
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.
6.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
7.
When graphing b ≤ 6 would you use an open or closed circle?
a)
Open
b)
closed
8.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
9.
Which graph matches the inequality 
2.5 ≤ x?
a)
A
b)
B
c)
C
d)
D
10.
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
11.
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
12.
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
13.
Only children four and under are allowed to play on the equipment.
Let x represent the age of the children allowed on the equipment.
a)
x > 4
b)
x ≥ 4
c)
x < 4
d)
x ≤ 4
14.
The minimum age for entry is 10 years old.
Let x represent the age allowed for entry.
a)
x >10
b)
x ≥ 10
c)
x < 10
d)
x ≤ 10
15.
The maximum weight for the zip line is 250 pounds.
Let x represent the weight allowed on the zipline.
a)
x > 250
b)
x ≥ 250
c)
x < 250
d)
x ≤ 250
16.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
17.
Write the inequality: 
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
18.
Write the inequality:
You have to be 54 inches or taller to ride the American Eagle
a)
x > 54
b)
x < 54
c)
x ≥ 54
d)
x ≤ 54
19.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
20.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

21.
Is x = 12 a given solution to the inequality.
x > 5
a)
TRUE
b)
FALSE
22.
Which is the solution of 
-6a ≥ -36
a)
a ≥ 6
b)
-6 ≥ a
c)
a ≤ 6
d)
6 ≤ a
23.
- 5 x ≥ 30
a)
x  ≥ -6
b)
x > 6
c)
x < 6
d)
x ≤ -6
24.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
25.
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
26.

4h<8

a)

h<32

b)

h<2

c)

h<4

d)

h>2

27.
-3 + x ≤ -11
a)
x ≤ -8
b)
x ≤ 8
c)
x ≥ -8
d)
x ≥ 8
28.

Translate:

A number increased by 4 is no more than -18.

a)

x + 4 < -18

b)

x + 4 > -18

c)

x + 4 ≤ -18

d)

x + 4 ≥ -18

29.

Translate: 5 times a number is at least 60.

a)

5x < 60

b)

5x > 60

c)

5x ≤ 60

d)

5x ≥ 60

30.

Translate:

Twice a number is smaller than 42.

a)

2x < 42

b)

2x > 42

c)

2x ≤ 42

d)

2x ≥ 42

31.
x - 4 > 5
a)
x < 9
b)
x ≥ 9 
c)
x > 1
d)
x > 9
32.
x/-2 > 4
a)
x > -8
b)
x < -8
c)
x > -4
d)
x < -6
33.

x/4 > -3

a)

x > -12

b)

x < -12

c)

x > -7

d)

x < 1

34.
Solve the inequality.
a)
c > -3
b)
c < -3
c)
c > 3
d)
c < 3
35.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
36.
Solve the following inequality:
p - 4 < 2
a)
p < - 2
b)
p < 6
c)
p > 6
d)
p < 8
37.
Solve the following inequality:
s + 1 ≥ -5
a)
s ≥ -6
b)
s ≥ - 4
c)
s < -6
d)
s ≤ -4
38.
Solve the following inequality:
k - 14 ≤ - 10
a)
k ≤ 24
b)
k ≥ 4
c)
k ≤ 4
d)
k ≤ -24
39.
Solve
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
40.
Solve 
a)
a≤1
b)
a≤25
c)
a>1
d)
a<25
41.
-4p < 36 
a)
p > -9
b)
p < -9
c)
p > -144
d)
p < -144
42.
1.8m ≥ -5.4
a)
m ≥ -3
b)
m ≤ -3
c)
m ≥ -9.72
d)
m ≤ -9.72
43.
7n > 49
a)
n > 7
b)
n < 7
c)
n > 343
d)
n < 343
44.
x − 17 > -54
a)
x > -37
b)
x < -37
c)
x > -71
d)
x < -71
45.
26 + y ≤ -18 
a)
y ≤ -44
b)
y ≥ -44
c)
y ≤ 8
d)
y ≥ 8