WorksheetsUnit 1 Review: Absolute Value Inequalities
Total questions: 28
Worksheet time: 28mins
Name
Class
Date
1.
What is the correct first step?
a)
divide by 10
b)
multiply by 10
c)
make it two inequalities with an "or"
d)
make it two inequalities with and "and
2.
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
3.
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
4.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
5.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
6.
a)
v>5 or v<-5
b)
v≥5 or v≤-5
c)
v>-5 or v<5
d)
all real numbers
7.
a)
no solution
b)
a> -1/6 or a< -5/6
c)
a>1/2 or a< -3/2
d)
all real numbers
8.
a)
no solution
b)
-6 ≤ r ≥ 8
c)
6 > r > -8
d)
-6 < r < 8
9.
a)
n > 1 or n < -7
b)
n > -1 or n < -7
c)
-7 < n < -1
d)
no solution
10.
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
11.
Solve:
|x + 3| > 8
|x + 3| > 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
12.
| 2w - 1 | < 11
a)
No Solution
b)
All Real Numbers
c)
-5 < w < 6
d)
-6 < w < 5
13.
a)
- 1/2 ≤ z ≤ 5/2
b)
1/2 ≤ z ≤ 5/2
c)
z ≥ 1/2 or z ≤ 5/2
d)
z ≤ 1/2 or z ≥ 5/2
14.
a)
v>5 or v<-5
b)
v≥5 or v≤-5
c)
v>-5 or v<5
d)
all real numbers
15.
a)
no solution
b)
a> -1/6 or a< -5/6
c)
a>1/2 or a< -3/2
d)
all real numbers
16.
a)
no solution
b)
x > 2 or x < -22
c)
-22 < x < 2
d)
all real numbers
17.
a)
r > 11/4 or r < 9/4
b)
r > 5 or r ≤ 0
c)
r > 5 or r < 0
d)
r < -5 or r > 0
18.
a)
no solution
b)
-6 < x < 26
c)
x < -6 or x > 26
d)
all real numbers
19.
a)
No solution
b)
All real numbers
c)
-1 < a < 9/7
d)
-5/7 < a < 1
20.
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
21.
0 < x + 7 < 9
a)
-7<x and x<2
b)
-7<x or x<2
c)
-7>x and x>2
d)
-7>x or x>2
22.
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
23.
a)
x > -3 or x > 1
b)
x < -3 or x < 1
c)
x ≥ 3 and x ≤ 1
d)
x > -3 and x < 1
24.
a)
x < 0 or x ≥ 2
b)
x < 0 or x > 2
c)
x ≤ 0 or x ≥ 2
d)
x ≤ 0 or x > 2
25.
a)
x ≤ 3 and x > -2
b)
x < -2 or x ≥ 3
c)
x > -2 or x < 3
d)
x < 3 and x ≥ -2
26.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
27.
Solve:
3x + 2 < -4 or 4x + 4 > 24
3x + 2 < -4 or 4x + 4 > 24
a)
x < -2 or x > 5
b)
x < 2 or x > 5
c)
x < -2 and x > 5
d)
x < 2 and x > 5
28.
Solve:
3x + 2 < -7 or -4x + 5 < 1
3x + 2 < -7 or -4x + 5 < 1
a)
x < -3 and x < 1
b)
x < -3 and x > 1
c)
x < -3 or x < 1
d)
x < -3 or x > 1
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