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Chapter 2 Test (Algebra 1 Big Ideas CC High School)

Total questions: 26

Worksheet time: 1hrs 19mins

Name
Class
Date
1.

A student will study Greek for at least 3 years. Which inequality describes the situation?

a)

y<3y<3

b)

y>3y>3

c)

y3y\le3

d)

y3y\ge3

2.

Which inequality represents the graph shown below?

a)

x<2x<-2

b)

x>2x>-2

c)

x2x\le-2

d)

x2x\ge-2

3.

Which number is a solution of the inequality 
 7x527x-5\ge-2  

a)

-3

b)

-1

c)

0

d)

1

4.

What is the solution to
 p12>18p-12>-18  

a)

 p<30p<-30  

b)

 p<6p<-6  

c)

 p>6p>-6  

d)

 p>30p>-30  

5.

Which graph represents all of the solutions of
 z73z-7\le-3  

a)
b)
c)
d)
6.

Your goal in training for the race is to run more than 50 miles per week. So far this week you have run 32 miles. Which inequality represents the situation?

a)

d18d\ge18

b)

d32>50d-32>50

c)

d+3250d+32\ge50

d)

d+32>50d+32>50

7.

What is the solution of 
 a10 <2\frac{a}{10\ }<-2  

a)

 a<20a<-20  

b)

 a>20a>-20  

c)

 a<5a<-5  

d)

 a>5a>-5  

8.

What is the solution of
 48<6h48<-6h  

a)

 h>8h>-8  

b)

 h<8h<-8  

c)

 h8h\ge-8  

d)

 h8h\le-8  

9.

What is the solution of 
 6w8226w-8\ge22  

a)

 w73w\ge\frac{7}{3}  

b)

 w73w\le\frac{7}{3}  

c)

 w>5w>5  

d)

 w5w\ge5  

10.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

11.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

12.

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

13.
Which is a solution of
5(v + 3) - 10v > -10
a)
v < 5
b)
v > 5
c)
v > -5
d)
v < -5
14.
Is x = 9 a solution to the given inequality.
x > 9
a)
TRUE
b)
FALSE
15.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
16.
Solve.
|c + 4| < 5
a)
x < -9 or x > 1
b)
-9 < x < 1
c)
x < 9 or x > -1
d)
-1 < x < 9
17.
Solve.
|y - 4| ≥ 8
a)
y ≤ -4 or y ≥ 12
b)
-4 ≤ y ≤ -12
c)
y ≤ 4 or y ≥ -12
d)
-12 ≤ x ≤ 4
18.
Solve.
|p + 3| ≥ 10
a)
-13 ≤ p ≤ 7
b)
p ≤ -13 or p ≥ 7
c)
-7 ≤ p ≤ 13
d)
p ≤ -7 or p ≥ 13
19.
Solve the inequality. 
|k| - 6 ≤ -1
a)
k ≤ 5
b)
k ≤ -5
c)
k ≤ -5, 5
d)
-5 ≤ k ≤ 5
20.
Solve the inequality. (hint: isolate the absolute value). 
8 + |4v - 7| ≥ 17
a)
No solution
b)
v ≥ 9
c)
v ≥ 4
d)
-1/2 ≥ v ≥ 4
21.
a − 6 ≤ 15 + 8a
a)
a ≤ -3
b)
a ≥ -3
c)
a ≤ 3
d)
a ≥ 3
22.
-p − 4p > -10
a)
p > -2
b)
p > 2
c)
p < -2
d)
p < 2
23.
Solve:
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
24.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
25.
What kind of compound inequality is this?
a)
AND compound inequality
b)
OR compound inequality
26.

How confident do you feel in your ability to solve inequalities?

a)

I am going to ACE this test!

b)

I am ready but a little nervous!

c)

I could use a little more practice!

d)

I am not ready for this test!