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Algebra 2 Chapter 2 Review

Total questions: 36

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Solve the linear equation: 3x + 5 = 17

a)

2

b)

6

c)

8

d)

4

2.

Find the solution to the absolute value equation: |2x - 3| = 7

a)

x = 10, -5

b)

x = 4, -1

c)

x = 8, -3

d)

x = 5, -2

3.

Solve the inequality: 2x + 4 > 10

a)

x = 3

b)

x > 3

c)

x > 7

d)

x < 3

4.

Solve the linear equation: 2(3x - 4) = 10

a)

4

b)

5

c)

6

d)

3

5.

Solve the inequality: -2x + 7 ≤ 3

a)

x ≥ 2

b)

x ≤ 4

c)

x ≤ 2

d)

x ≥ 5

6.

Determine the solution to the absolute value inequality: |4x + 1| ≥ 9

a)

x ≤ -2 or x ≥ 2

b)

x ≤ -2 and x ≥ 2

c)

x ≤ -2 or x ≤ 2

d)

x ≤ -2 or x ≥ 2

7.

Solve the linear equation: 4(x + 2) = 24

a)

10

b)

4

c)

6

d)

8

8.

Find the solution to the absolute value equation: |6x - 5| = 11

a)

x = 5/6, -11

b)

x = 11/6, -6

c)

x = 8/3, -1

d)

x = 3/8, -8

9.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
10.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
11.
What is the solution to 3x - 7 < 2?
a)
x < 3
b)
x < 4
c)
x < 2
d)
x < 5
12.
Would your graph go to the left or right when you graph x ≥ 4?
a)
Left
b)
Right
13.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
14.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
15.
Solve:
|x + 4| - 8 > 2
a)
x > 6 and x < 10
b)
x > 6 or x < -14
c)
all real numbers
d)
no solution
16.
x + 4 < 4
a)
x < 0
b)
x >0
c)
x < 8
d)
x > 8
17.

Solve the inequality 24 ≤ h + 15

a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
18.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
19.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
20.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
21.

Solve the inequality

-9a - 1 < 26

a)
a < -3
b)
a < 3
c)
a > -3
d)
a > 3
22.
What is the first step?
a)
Get the absolute value alone by dividing both sides by 5
b)
Drop the absolute value bars and add 7 and 5 together
c)
Get the absolute value alone by subtracting 5 from both sides
23.
| x - 2 | > 3
Is this an "and"  or an "or" problem?
a)
and
b)
or
24.
Which compound inequality represents the graph?
a)
m < -1 OR m > 2
b)
-1 < m < 2
c)
m > -1 OR m < 2
25.
Solve.
-5|x - 4| > -20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
26.
Solve:
 |x + 3| > 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
27.

A=lw for wA=lw\ for\ w  

a)

w=Alw=\frac{A}{l}  

b)

w=Alw=Al  

c)

w=lAw=\frac{l}{A}  

d)

w=lAw=lA  

28.

I=prt; for rI=prt;\ for\ r  

a)

r=pItr=pIt  

b)

r=Iptr=\frac{I}{pt}  

c)

r=tpIr=\frac{t}{pI}  

d)

r=pItr=\frac{p}{It}  

29.

v=lwh; for lv=lwh;\ for\ l  

a)

l=vwhl=vwh  

b)

l=vwhl=\frac{v}{wh}  

c)

l=whvl=\frac{wh}{v}  

d)

l=vwhl=\frac{vw}{h}  

30.
The sum of three consecutive integers is 48.  What is the smallest number in the group?
a)
16
b)
15
c)
17
d)
24
31.
The sum of three consecutive odd numbers is 597.  What is the smallest number in the group?
a)
198
b)
199
c)
197
d)
196
32.
Which of the following setups would be used to find four consecutive integers?
a)
n
n+2
n+4
n+6
b)
n
2n
4n
6n
c)
n+1
n+2
n+3
n+4
d)
n
n+1
n+2
n+3
33.
Which expressions can be used to represent the sum of 3 consecutive odd integers?
a)
n+1, n+2, n+3
b)
n, n+1, n+3
c)
n, n+1, n+2
d)
n, n+2, n+4
34.

The sum of three consecutive even integers is 618. What is the largest number in the group?

a)

204

b)

205

c)

206

d)

208

35.

What inequality is graphed?

a)

2 < x ≤ -3

b)

2 < x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

36.

What inequality is being represented?

a)

5 < x < 95\ <\ x\ <\ 9

b)

5  x  95\ ≤\ x\ ≤\ 9

c)

5 < x  95\ <\ x\ ≤\ 9

d)

5  x < 95\ ≤\ x\ <\ 9