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WorksheetsE-Day: Inequalities and Absolute Value Review
Total questions: 20
Worksheet time: 40mins
Name
Class
Date
1.
6x + 2 + 6x < 14
a)
x < 1
b)
x > 1
c)
x < -1
d)
x > -1
2.
28 − k ≥ 7(k − 4)
a)
k ≥ -7
b)
k ≤ -7
c)
k ≥ 7
d)
k ≤ 7
3.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
4.
Solve the compound inequality.
x - 8 ≤ 4 OR 2x + 3 > 9
a)
x ≤ 12 or x > 3
b)
x ≤ 12 and x > 6
c)
no solutions
d)
all real numbers
5.
-6 < 3n + 9 < 21
a)
-5 < n < 4
b)
n > -5 or n < 4
c)
no solutions
d)
all real numbers
6.
What is the first step?
a)
Get absolute value alone by subtracting 5 from both sides
b)
Get absolute value alone by dividing by 5 on both sides
c)
Split into two equations
7.
Which inequality represents the graph?
a)
-8 < x < -6
b)
x < - 8 AND x > - 6
c)
x < - 8 OR x > - 6
8.
Which compound inequality represents the graph?
a)
m < -1 OR m > 2
b)
-1 < m < 2
c)
m > -1 OR m < 2
9.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
10.
Solve:
a)
{24}
b)
{-6, -8}
c)
{16, 4}
d)
{24, -24}
11.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
12.
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
13.
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
14.
Solve:
2|5x-1|+3=9
a)
x=4/5
b)
x=7/5 and x=-1
c)
x=7/5
d)
x=-4/5 and x=2/5
15.
Solve:
|−2n| + 10 = −50
|−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
16.
Solve: -1 < 9 + n < 17
a)
n > -10 or n < 8
b)
8 < n < 26
c)
-10 < n < 8
d)
n > 8 or n > 26
17.
Solve: 8r - 5 > 6r - 1 or 4 + 4r < 3r - 3
a)
r > 2 and r < -7
b)
r > 2 or r < -7
c)
r < 2 and r > -7
d)
r < 2 or r > -7
18.
True or False: Is x = 4 a solution to |x + 5| = -9
a)
True
b)
False
19.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15
c)
x ≤ 15
d)
x ≥ 15
20.
a)
A
b)
B
c)
C
d)
D
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