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Total questions: 45

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
2.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

3.
Which is the solution of 
-6a ≥ -36
a)
a ≥ 6
b)
-6 ≥ a
c)
a ≤ 6
d)
6 ≤ a
4.
Solve:
8m - 9 > 71
a)
m > 10
b)
m > 1
c)
m < 1
d)
m > -48
5.
2x + 3 ≤ 15
a)
x ≤ 6
b)
x ≥ -6
c)
 x ≤ 9
d)
x≤ -9
6.
-3 + x ≤ -11
a)
x ≤ -8
b)
x ≤ 8
c)
x ≥ -8
d)
x ≥ 8
7.
2x < -3x + 15
a)
x > 3
b)
x > 15
c)
x < 3
d)
x < 15
8.
6x - 4 ≥ 26
a)
x ≥ 3.67
b)
x ≥ 5
c)
x < 5
d)
x ≤ 5
9.
2x - 3 ≥ 4x - 1 
a)
x ≤ -1
b)
x ≥ -1
c)
x ≤ 1
d)
x ≥ 1
10.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
11.

7 - 3n ≥ -53

a)

n ≥ 20

b)

n ≤ 20

c)

n > 20

d)

n < 20

12.

-n + 8 < 26

a)

n < -18

b)

n > -18

c)

n ≤ -18

d)

n ≥ -18

13.
Solve the inequality.
37 < -8 - 9x
a)
x > -5
b)
x < -5
c)
x ≥ -5
d)
x ≤ -5
14.
4x - 10 ≤ 22
a)
x ≤ 8
b)
x ≥ 8
c)
x ≤ 3
d)
x ≥ 3
15.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

16.
15 + 7x ≥ 29
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x > 2
17.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

18.

Which graph represents the inequality -2x + 3 < 7

a)
b)
c)
d)
19.
Do you flip the sign?
-3x + 2  ≤  22
a)
YES
b)
NO
20.
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
21.
Does the sign need to flip when solving?
8y < (-40)
a)
YES
b)
NO
22.
solve 3 < -5n + 2n
a)
n < -1
b)
n ≤ -1
c)
n > -4
d)
n < -3
23.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

True

b)

Not True

24.

Write as an inequality


You spend less than 2 hours on homework

a)

x > 2

b)

x < 2

c)

x ≤ 2

d)

x ≥ 2

25.
a)
x > 4
b)
x > 9
c)
x < 3
d)
x < 4
26.
a)
x > 3
b)
x ≤ ⅕
c)
x ≥ 3
d)
x ≤ ⅕
27.
a)
x < 6
b)
x ≤ 6
c)
x < 5.5
d)
x < 3/2
28.

Solve


-2(x + 2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

29.
6(n + 2) < -72
a)
n < -14
b)
n < 35/3
c)
n < -10
d)
30.

Find the solution

a)

X 6.5X\ \le\ 6.5

b)

X >2X\ >2

c)

X 10X\ \ge\ 10

d)

X 10X\ \le\ 10

31.
Solve the inequality.
-8k - 4 ≤ -60
a)
k < 7
b)
k > 7
c)
k ≤ 7
d)
k ≥ 7
32.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

33.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
34.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
35.
Grace has $45 at most in her purse.
a)
g<45
b)
g>45
c)
g≤45
d)
g≥45
36.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
37.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
38.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

39.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

40.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
41.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
42.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
43.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
44.

12 ≥ 15 - 6y

a)

y ≤ ½

b)

y ≤ 2

c)

y ≥ ½

d)

y ≥ 2

45.

hint: need to get rid of the 3 first

a)

x ≥ 11

b)

x ≤ 19

c)

x < 11

d)

x > 19