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# Absolute Value Equation and Function Worksheets

Explore this ensemble of printable absolute value equations and functions worksheets to hone the skills of high school students in evaluating absolute functions with input and output table, evaluating absolute value expressions, solving absolute value equations and graphing functions. Give a head-start to your practice with the free worksheets here.

## 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:

Supply this set of printable handouts to high school students and knock their skills into shape! They need to check if a given equation has a solution or not.

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.

Easy:Sheet 1 | Sheet 2 | Grab 'em All

Moderate:Sheet 1 | Sheet 2 | Grab 'em All

Type 3: a |bx + c| = d

Isolate the absolute value expression and then solve.

Easy:Sheet 1 | Sheet 2 | Grab 'em All

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.

Easy:Sheet 1 | Sheet 2 | Grab 'em All

Moderate:Sheet 1 | Sheet 2 | Grab 'em All

Type 5: |ax + b| = |cx + d|

All you need to do in this pdf practice set is this: find the break points, set the interval, solve for x and check for an extraneous solution.

Easy:Sheet 1 | Sheet 2 | Grab 'em All

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.

Easy:Sheet 1 | Sheet 2 | Grab 'em All

Moderate:Sheet 1 | Sheet 2 | Grab 'em All

Difficult:Sheet 1 | Sheet 2 | Grab 'em All

Graphing Absolute Value Function

Each question in this set of pdf worksheets contains a function and a grid displaying the x and y coordinates below. 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:

Graphing Functions: Difficult 1

Graphing Functions: Difficult 2 | Grab 'em All

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