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Unit 3 Study Guide Inequalities

Total questions: 37

Worksheet time: 4hrs 33mins

Name
Class
Date
1.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
2.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
3.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
4.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
5.
When graphing an inequality, what does a closed circle mean?
a)
The number is not included in the list of answers.
b)
The number is included in the list of answers.
6.
When graphing an inequality, you use an OPEN dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
7.
When you graph an inequality, you used a CLOSED dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
8.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
9.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes, because I'll be dividing by a negative number
b)
No, because you never flip the sign. 
10.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
11.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
12.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
13.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

14.
a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

15.

-4x + 1 > 21

a)

x > -5

b)

x < -5

c)

x > -80

d)

x < -80

16.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
17.
a)

145

b)

165

c)

180

d)

190

18.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
-5
d)
12
19.

Level 2

Solve.

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

20.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
21.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
22.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
23.

What would be the first step in solving the equation for 2x+7=15?

a)

Add 7 to both sides

b)

Subtract 7 from both sides

c)

Divide both sides by 2

d)

Multiply both sides by 2

24.

What would be the last step in solving the equation X6−2=12\frac{X}{6}-2=12   ?

a)

Add 2 to both sides

b)

Subtract 2 from both sides

c)

Multiply both sides by 6

d)

Divide both sides by 6

25.

What would be the second step to solving the equation 3m−6=153m-6=15   ?

a)

Add 6 to both sides

b)

Subtract 6 from both sides

c)

Multiply both sides by 3

d)

Divide both sides by 3

26.

What would be the first step in solving the equation T4−5=15\frac{T}{4}-5=15   ?

a)

Add 5 to both sides

b)

Subtract 5 from both sides

c)

Multiply both sides by 4

d)

Divide both sides by 4

27.

The inverse operation for multiplication is

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

28.

The inverse operation for addition is

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

29.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Guess and check

30.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
31.

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

32.

Solve:

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 5

d)

a < -5

33.

-2x + 3(-4x + 6) ≤116

a)

x ≤ -7

b)

x ≥ 29

c)

x ≥ -7

d)

x ≤ 29

34.

What is the FIRST step to solving this inequality?


−4(x−9)+2x≥−27-4\left(x-9\right)+2x\ge-27  

a)

Subtract 2x on both sides

b)

Distribute: multiply -4 by x and by -9

c)

Add x to 2x

d)

Add 9 to both sides

35.

Solve:

3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

36.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
37.
Solve:
4(2a + 3) < 3(a - 1)
a)
a<-3
b)
a>-3
c)
a<3
d)
a>3

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