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Writing, Graphing and Solving One-Step Inequalities

Total questions: 65

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

2.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
3.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
4.
Grace has $45 at most in her purse.
a)
g<45
b)
g>45
c)
g≤45
d)
g≥45
5.
Today's temperature will be at least -4 degrees.
a)
t < -4
b)
t > -4
c)
t ≤ -4
d)
t ≥ -4
6.
If m > 17, which is a possible value for m?
a)
12
b)
10
c)
23
d)
7
7.
If s ≤ 35, which is NOT a solution of the inequality?
a)
25
b)
35
c)
42
d)
30
8.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
9.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
10.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
11.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
12.
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
13.
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
14.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
15.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
16.
All students must get at least a 60% for the year in order to pass math.
a)
x = 60
b)
x > 60
c)
x ≥ 60
d)
x ≤ 60
17.

The cost of a ski trip could be more than, or equal to, $3,200.

a)

x < 3200

b)

x > 3200

c)

x ≤ 3200

d)

x ≥ 3200

18.

Bella has less than 6 apples in her basket.

a)

a < 6

b)

a > 6

c)

a ≤ 6

d)

a ≥ 6

19.

Mary must read a minimum of 5 books over the summer for her English class.

a)

b < 5

b)

b > 5

c)

b ≤ 5

d)

b ≥ 5

20.

Bill will have, at most, 31 people at his party.

a)

p < 31

b)

p > 31

c)

p ≤ 31

d)

p ≥ 31

21.

A book of stamps at the local post office has less than 22 stamps in it.

a)

s < 22

b)

s > 22

c)

s ≤ 22

d)

s ≥ 22

22.

A purse costs at least $45 at the department store.

a)

d < 45

b)

d > 45

c)

d ≤ 45

d)

d ≥ 45

23.

The weather man said that no less than 4 inches of snow will fall this winter.

a)

i < 4

b)

i > 4

c)

i ≤ 4

d)

i ≥ 4

24.

A lemonade recipe will yield, at most, 16 servings.

a)

s < 16

b)

s > 16

c)

s ≤ 16

d)

s ≥ 16

25.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
26.
Less than:
a)
≥
b)
≤
c)
<
d)
>
27.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
28.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
29.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
30.

Which inequality does the graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

31.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

32.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

33.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
34.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
35.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
36.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
37.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
38.

Write as an inequality:

a)

n > 5

b)

n < 5

c)

n ≥ 5

d)

n ≤ 5

39.

Write as an inequality:

a)

-2 > d

b)

-2 < d

c)

-2 ≥ d

d)

-2 ≤ d

40.

Write as an inequality:

a)

r > -5

b)

r < -5

c)

r ≥ -5

d)

r ≤ -5

41.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
42.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
43.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
44.
Solve
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
45.
x − 4 ≤ 6
a)
x ≤ 10
b)
x ≥ 10 
c)
x ≥ 2
d)
x ≤ 2
46.
y − 10 > 14
a)
y > 24
b)
y < 24
c)
y > 4
d)
y < 4
47.
y + 7 ≥ 12
a)
y ≥ 5
b)
y ≤ 5 
c)
y ≥ 19 
d)
y ≤ 19
48.
w + 4 ≤ -5
a)
w ≤ -9 
b)
w ≥ -9
c)
w ≤ -1 
d)
w ≥ -1
49.
x − 7 > -12
a)
x > -5
b)
x < -5 
c)
x > -19
d)
x < -19
50.
y + 8 ≤ -15
a)
y ≤ -23
b)
y ≥ -23
c)
y ≤ -7 
d)
y ≥ -7
51.
-4p < 36 
a)
p > -9
b)
p < -9
c)
p > -144
d)
p < -144
52.
1.8m ≥ -5.4
a)
m ≥ -3
b)
m ≤ -3
c)
m ≥ -9.72
d)
m ≤ -9.72
53.
7n > 49
a)
n > 7
b)
n < 7
c)
n > 343
d)
n < 343
54.
y ⁄ -8 > 2 
a)
y < -16
b)
y > -16
c)
y < -0.25
d)
y > -0.25
55.
k ⁄ -5 < -4
a)
k > 20
b)
k < 20 
c)
k > 0.8 
d)
k < 0.8
56.
m ⁄ 7 > -14
a)
m > -98
b)
m < -98
c)
m > -2
d)
m < -2
57.
x − 17 > -54
a)
x > -37
b)
x < -37
c)
x > -71
d)
x < -71
58.
26 + y ≤ -18 
a)
y ≤ -44
b)
y ≥ -44
c)
y ≤ 8
d)
y ≥ 8
59.
Solve 
a)
q≤46
b)
q<46
c)
q≥46
d)
q<46
60.
Solve
a)
y<139
b)
y≥55
c)
y>55
d)
y≤139
61.
Solve 
a)
a≤1
b)
a≤25
c)
a>1
d)
a<25
62.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

63.

Solve

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

64.
Solve 
-9h > (-63)
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
65.
Does the sign need to flip when solving?
8y < (-40)
a)
YES
b)
NO