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Algebra 1 - Chapter 2 REVIEW

Total questions: 30

Worksheet time: 3hrs 49mins

Name
Class
Date
1.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
2.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
3.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

4.
x + 8 < 3 or - 8x < -40 
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5 
d)
x > -5 and x < 5 
5.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

6.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
7.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
8.

Which graph represents -5≤x≤5?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

9.

Which graph represents -2<x<3

a)

Graph 1

b)

Graph 2

c)

Graph 3

10.

Which of the following is a compound inequality with "or"

a)
b)
c)
11.
Solve:
a)
A
b)
B
c)
C
d)
D
12.
-2 (x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
13.

3x − (2 + 6x) ≤ -32

a)

x ≥ 10

b)

x< -10

c)

x ≥ -10

d)

All real numbers

14.

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

a)

True

b)

Not True

15.
6x + 2 + 6x < 14
a)
x < 1
b)
x > 1
c)
x < -1
d)
x > -1
16.

Solve the inequality

a)

x ≤ -17

b)

x ≤ -11

c)

x ≤ 7

d)

x ≤ -35

17.
28 − k ≥ 7(k − 4)
a)
k ≥ -7
b)
k ≤ -7
c)
k ≥ 7
d)
k ≤ 7
18.
-2(5 + 6n) < 6(8 − 2n)
a)
no solution
b)
infinite solution
c)
x < 0
d)
x > 0
19.

Solve the inequality:


3(n + 1) ≤ 3n + 4

a)

n ≤ 1

b)

n ≤ –1

c)

Infinite Solutions

d)

No Solution

20.

 3(12x)>36x3\left(1-2x\right)>3-6x  

a)

All real numbers

b)

 x>3x>3  

c)

No Solution

d)

 x<3x<3  

21.

 2(5+6x)<6(82x)-2\left(5+6x\right)<6\left(8-2x\right)  

a)

 x<48x<48  

b)

All real numbers

c)

 x>10x>-10  

d)

No Solution

22.

Is 0 a solution to 3x - 2 > -1 ?

a)

yes

b)

no

23.

Is 2 a solution to the graphed inequality?

a)

yes

b)

no

24.

Is 3 a solution to x - 3  \ge  -1 ?

a)

yes

b)

no

25.

Is 7 a solution to  3+x22\frac{3+x}{2}\ge2  ?

a)

yes

b)

no

26.
Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.
a)
n - 7 > 18
b)
7 - n ≥ 18
c)
n - 7 ≥ 18
d)
n + 7 ≥ 18
27.

Does the sign need to flip when solving?

-2x ≥ 22

a)

YES

b)

NO

c)

MAYBE

28.
x is no more than 13
a)
x < 13
b)
x > 13
c)
x ≥ 13
d)
x ≤ 13
29.
a)
A)
b)
B)
c)
C)
d)
D)
30.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >