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Absolute Value Equations, Functions, and Inequalities

Explore absolute value equations, functions, and inequalities with this Grade 8 math worksheet.

Grade 8 Math AlgebraAbsolute Value Equations Functions and Inequalities
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerLong Answer

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.F.A.3
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Absolute Value Equations, Functions, and Inequalities

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the solution to the equation |x| = 7?

a

x = 7

b

x = -7

c

x = 7 or x = -7

d

No solution

2. Which of the following represents the graph of y = |x|?

-10-8-6-4-2246810-10-8-6-4-2246810

3. The absolute value of a number is its   from zero on a number line.

4. To solve an absolute value inequality like |x| < 5, you write it as -5 < x   5.

5. The equation |x + 3| = -2 has no real solution.

T

True

F

False

6. The graph of an absolute value function always forms a "V" shape.

T

True

F

False

7. Solve the inequality |x - 4| > 2 and graph the solution on a number line.

0246810-2-4

8. Explain how to solve an absolute value equation. Provide an example to illustrate your explanation.