Absolute Value Equations, Functions, and Inequalities

This worksheet covers solving and graphing absolute value equations, functions, and inequalities.

Grade 10 Math AlgebraAbsolute Value Equations Functions and Inequalities

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSF.IF.C.7b

Topics

Absolute ValueEquationsInequalitiesFunctionsAlgebraGrade 10

8 sections · Free to use · Printable

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Read each question carefully and follow the instructions. Show all your work for full credit.

Solve each absolute value equation.

1. |x - 5| = 12

2. |2x + 3| - 4 = 9

Fill in the blanks regarding absolute value functions.

3. The graph of an absolute value function is V-shaped and symmetric about its .

4. The vertex of the function f(x) = |x - h| + k is at the point ( , ).

5. Which inequality represents all numbers x such that x is at most 7 units from 0?

|x| > 7

|x| < 7

|x| ≤ 7

|x| ≥ 7

Solve each absolute value inequality and graph the solution on a number line.

6. |x + 3| < 5

7. |2x - 1| ≥ 7

8. Graph the function f(x) = |x - 2| + 1 on the coordinate plane below.

Determine if the following statements are true or false.

9. The solution to |x| = -3 is x = 3 or x = -3.

True

False