Evaluating Absolute Values

Absolute Value Review

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Multiple Choice

Which is a true statement?

• -3.79 = |-3.79|
• 0.5 = |-½|
• -|1.5| = |-1.5|
• |-½| = -0.5

Multiple Choice

Absolute value is defined as...

• always positive numbers
• negative numbers becoming positive
• distance from zero
• numbers on the number line

Multiple Choice

Compare. Use <, >, or =

• <

• >

• =

Multiple Choice

Compare. Use <, >, or =

• <

• >

• =

Multiple Choice

What is the absolute value?

• -18

• 18

• 9

• -9

Multiple Choice

What is the absolute value?

• 4

• -4

• 0

Multiple Choice

Solve

• -32

• 32

• No Solution

• ARN

Multiple Choice

Solve

• 8, −13

• -8, −13

• 8, 13

• No solution

Multiple Choice

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

Multiple Choice

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10
• x > 6 or x < -14
• all real numbers
• no solution

Multiple Choice

Solve

• 9, 1

• −1, 9

• No solution

• ARN

Multiple Choice

Solve

• 6, -26/5

• -6, 26/5

• No solution

• ARN

Multiple Choice

Describe the transformation of the equation below from the absolute value parent function.

$$y=\left|x-4\right|$$  

• Left 4
• Right 4
• Up 4
• Down 4

Multiple Choice

What is the vertex of the following function? $$y=2|x-3|+1$$  

• $$(2,3)$$  

• $$(-3,1)$$  

• $$(2,-3)$$  

• $$(3,1)$$  

Multiple Choice

Choose the equation that best matches the graphed function.

• $$f(x)=|x|+2$$  

• $$f(x)=|x|-2$$  

• $$f(x)=-|x|$$  

• $$f(x)=-|x|+2$$  

Multiple Choice

• y = Ix + 2I - 1

• y = -Ix + 2I - 1

• y = -Ix - 2I - 1

• y = -Ix + 1I - 2

Multiple Choice

  . 
The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Multiple Choice

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7