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. Show Solving Absolute Value ExpressionInput and Output Tables Using the input values and the rule, find out the output values of the absolute value function. Input and Output Tables: Easy 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: Easy Evaluate Absolute Value: Moderate Evaluate Absolute Value: Difficult
Solving Absolute Value EquationExistence 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: Sheet 1 | Sheet 2 | Grab 'em All Difficult: Sheet 1 | Sheet 2 | Grab 'em All
Type 1: | x | = a Solve the absolute value equation and find the solutions. The question either has two solutions or no solution. Easy: Sheet 1 | Sheet 2 | Grab 'em All Moderate: Sheet 1 | Sheet 2 | Grab 'em All
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 FunctionIdentify 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 1 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
Related Worksheets »One-step Equation »Two-step Equation »Multi-step Equation »Quadratic Equation »Equations How do you solve absolute value equations?To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations. Solve | x | + 2 = 5. Isolate the absolute value.
How do absolute value functions work?Recall that in its basic form f(x)=|x|, the absolute value function, is one of our toolkit functions. The absolute value function is commonly thought of as providing the distance the number is from zero on a number line. Algebraically, for whatever the input value is, the output is the value without regard to sign.
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