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Less 8 - 1: Apply & solve one-step inequalities

Total questions: 20

Worksheet time: 2hrs 28mins

Name
Class
Date
1.

An unknown number decreased by 9 is at most 25. What is the number?

a)

x - 9 \ge 25

b)

x - 9 ≤ 25

c)

x - 9 < 25

d)

x - 9 > 25

2.

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall.


Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

a)

6 + x ≥ 35

b)

6 + x > 35

c)

6 + x < 35

d)

6 + x ≤ 35

3.
Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 
a)
15h ≤ 105
b)
15h > 105
c)
15h < 105
d)
15h ≥ 105
4.

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall.


Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

a)

6 + x ≥ 35

b)

6 + x > 35

c)

6 + x < 35

d)

6 + x ≤ 35

5.

Pick the correct graph for:

 6>x6>x  

a)
b)
c)
d)
6.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
7.

Pick a solution that satisfies the inequality:
 

 x57\frac{x}{5}\ge7  

a)

34

b)

44

c)

-34

d)

-44

8.

Solve the inequality.

 x+513x+5≤13  

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8 

d)

x ≤ 18 

9.

Solve the inequality:
 10x310≥x-3  

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

10.

Solve the inequality:
 24h+1524≤h+15  

a)

h ≥ -9

b)

h ≥ 9

c)

h ≤ 9

d)

h ≤ 39

11.

Which inequalities requires me to flip the sign to solve?

a)

 3x123x≥12  

b)

 3x12-3x≥12  

c)

 x4<12\frac{x}{4}<12  

d)

 x4<12-\frac{x}{4}<12  

12.

Solve the inequality:
 8x<48-8x<48  

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

13.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
14.
What inequality does the number line graph represent?
a)
x >= 3
b)
x > 3
c)
x < -3
d)
x <= 3
15.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
16.
Solve and graph.
b - 6 < -15
a)
A
b)
B
c)
C
d)
D
17.
Solve and graph.
p - 3 > -8
a)
A
b)
B
c)
C
d)
D
18.
Solve and graph.
n + 21 < 0
a)
A
b)
B
c)
C
d)
D
19.
Solve and graph.
-83 < n - 80 
a)
A
b)
B
c)
C
d)
D
20.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12