Absolute Value Equation and Function Worksheets
The worksheets cover solving absolute value expression with input and output table, evaluating expression, solving absolute value equation and graphing function.

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Solving Absolute Value Expression
Input and Output Tables
Using the input values and the rule, find out the output values of the absolute value function.
Input and Output Tables: Moderate
Input and Output Tables: Difficult
Evaluate Absolute Value Expression
Find the value of each absolute value expression for the particular value of x.
Evaluate Absolute Value: Moderate
Evaluate Absolute Value: Difficult
Solving Absolute Value Equation
Existence of the Solution:
The questions may have solutions or no solution. Choose the correct choice.
Easy:
Sheet 1  Sheet 2  Grab 'em All
Moderate:
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Difficult:
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Type 1:  x  = a
Solve the absolute value equation and find the solutions. The question either has two solutions or no solution.
Easy:
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Moderate:
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Type 2: x + a = b
Set x + a = b and x + a = b, and solve the absolute value equations.
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Moderate:Sheet 1  Sheet 2  Grab 'em All
Type 3: a bx + c = d
Isolate the absolute value expression and then solve.
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Moderate:Sheet 1  Sheet 2  Grab 'em All
Type 4: a bx + c + d = e
Isolate the absolute value expression from the constant term and solve for x.
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Moderate:Sheet 1  Sheet 2  Grab 'em All
Type 5: ax + b = cx + d
Find the break points, set the interval, solve for x and check for extraneous solution.
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Moderate:Sheet 1  Sheet 2  Grab 'em All
Graphing Absolute Value Function
Identify the Absolute Value Function
The graph of the absolute value functions includes vertical shift, horizontal shift and reflection. Identify the absolute value function in each graph.
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Moderate:Sheet 1  Sheet 2  Grab 'em All
Difficult:Sheet 1  Sheet 2  Grab 'em All
Graphing Absolute Value Function
Each question contains a function and the grid. Identify the transformations involved in the function and then graph.
Vertical / Horizontal shift:
Graphing Functions: Easy 2  Grab 'em All
Vertical shift + Horizontal shift:
Graphing Functions: Moderate 1
Graphing Functions: Moderate 2  Grab 'em All
Vertical shift + Horizontal shift + Reflection: