Algebra 1 Honors Absolute Value Functions

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

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

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

• $$(2,3)$$  

• $$(-3,1)$$  

• $$(2,-3)$$  

• $$(3,1)$$  

Multiple Choice

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

$$y=|x|+10$$  

• Shifted left 10
• Shifted right 10
• Shifted up 10
• Shifted down 10

Drag and Drop

Dennis has a goal of making $115 per week at his after-school job. Last month he was within $9.25 of his goal.

a. What is the maximum amount Dennis could have made last month? $​​

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b. What is the minimum amount Dennis could have made last month? $​

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124.25

105.75

143.52

110.75

Poll

I can SOLVE multi-step absolute value equations.

• I need help. I can't get started.

• I'm getting there but I need more practice.

• I understand this and I feel confident.

Poll

I can WRITE multi-step absolute value equations.

• I need help. I can't get started.

• I'm getting there but I need more practice.

• I understand this and I feel confident.

Drag and Drop

|x-1| + 2 = 5 ​

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-|x - 1| - 1 = 0 ​

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|x + 1| - 2 = - 2​

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x=4; -2

no solution

x = - 1

Drag and Drop

|x + 1| + 3 = 2 ​

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-3 |x - 1| + 1 = 1 ​

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|2x + 3| - 4 = 1 ​

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|x - 2| + 6 = 6 ​

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Drag these tiles and drop them in the correct blank above

no solution

x = 1

x = 1; -4

x = 2