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Worksheets

Absolute Value

Total questions: 14

Worksheet time: 43mins

Name
Class
Date
1.
|v + 8| − 5 = 2 
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
2.

 2x4=6\left|-2x-4\right|=6  

a)

{5,1}

b)

{-5,1}

c)

{-5}

d)

No Solution

3.
3| −8x| + 8 = 80
a)
{-7/3, 7/3}
b)
{-3,3}
c)
{11/3,-11/3}
d)
No Solution
4.
a)

v > 5 or v < -5

b)

v > 5 and v < -5

c)

no solution

d)

all real numbers

5.
a)

no solution

b)

-6 > r or r > 8

c)

r > -8 and r < 6

d)

-6 < r < 8

6.
a)
n > 1 or n < -7
b)
n > -1 or n < -7
c)
-7 < n < -1
d)
no solution
7.
What is the vertex of the following function?
y= -4|x+2|+5
a)
(-4,2)
b)
(-2,5)
c)
(-4,-2)
d)
(2,5)
8.

What does the a = 4 do to the graph of the parent function of:

  y=4x+32y=4\left|x+3\right|-2  

a)

Stretches it by a factor of 4

b)

Compresses it by a factor of 4

c)

Same

9.

What is the equation of this graph?

a)

y=2|x-3|+1

b)

y=2|x-1|+3

c)

y=-2|x+1|+3

d)

y=-2|x-1|+3

10.

What is the increasing interval of the given graph?

a)

<x<0-\infty<x<0

b)

0<x<0<x<\infty

c)

<x<2-\infty<x<2

d)

2<x<2<x<\infty

11.

Which function is graphed?

a)

f(x) = -3|x - 1| + 4

b)

f(x) = -|x - 1| + 4

c)

f(x) = -|x + 1| + 4

d)

f(x) = -3|x - 4| + 1

12.

y = |x - 3| makes the parent function slide . . .

a)

left 3

b)

right 3

c)

up 3

d)

down 3

13.

y = |x| - 7 makes the parent function slide . . .

a)

left 7

b)

right 7

c)

up 7

d)

down 7

14.

Describe the range of

 y=2x1+3y=-2\left|x-1\right|+3  

a)

 <y3-\infty<y\le3  

b)

 3y<3\le y<\infty  

c)

 <y1-\infty<y\le1  

d)

 1y<1\le y<\infty