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One and Two Step Inequalities Graphing

Total questions: 24

Worksheet time: 2hrs 42mins

Name
Class
Date
1.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
2.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
3.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
4.
Solve
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
5.

Level 1

When do we switch the inequality symbol?

a)

when multiplying or dividing by a NEGATIVE

b)

when adding and subtracting a NEGATIVE

c)

we never switch the inequality

d)

When there is a negative in the problem

6.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
 a  ≥ 11
d)
 a ≤ 11
7.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
8.
3g >12
a)
g>36
b)
g<36
c)
g>4
d)
g<4
9.
x/4≤8
a)
x≤2
b)
x≤32
c)
x≤12
d)
x≤4
10.
Which number is a possible solution to the inequality below?
12 - m ≤ 7
a)
8
b)
9
c)
5
d)
all three are possible solutions
11.
Solve for t.

6t 
4 ≤ -2
a)
t ≤ -1 
b)
t ≤ 1
c)
t=1
d)
1=t
12.
Solve for k. 

7k 
– 
2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
13.
Solve for k.
2k - 9≤ -19
a)
k ≤ -5
b)
k ≤ 5
c)
k < -5
d)
k < 5
14.
16 - 4a > 8
a)
a<-2
b)
a>-2
c)
a<2
d)
a>2
15.
-9a - 1 < 26
a)
a<-3
b)
a<3
c)
a>-3
d)
a>3
16.

Solve the inequality.

a)
b)
c)
d)
17.

Solve the inequality.

a)
b)
c)
d)
18.

Solve the inequality.

a)
b)
c)
d)
19.

Solve the inequality.

a)

w < -3

b)

w > -3

c)

w < 3

d)

w > 3

20.

Solve the inequality.

a)

h < 35

b)

h < -35

c)

h > 35

d)

h > -35

21.
a)
b)
c)
d)
22.

When graphing b < 6 would you use an open or closed circle?

a)

Open

b)

Closed

23.

When graphing b ≤ 6 would you use an open or closed circle?

a)

Open

b)

Closed

24.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D