Absolute Value Review

A Grade 10 math worksheet covering absolute value definitions, calculations, equations, and inequalities.

Grade 10 Math Number SenseIntegers and Rational NumbersAbsolute Value

Use This Worksheet

Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

Absolute ValueMathGrade 10AlgebraNumber Sense

8 sections · Free to use · Printable

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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 does the absolute value of a number represent geometrically on a number line?

2. Explain why the absolute value of a number can never be negative.

Find the absolute value of each expression:

3. | -15 | =

4. | 8 - 12 | =

5. | -7 + 3 | =

6. | 2 * (-5) | =

7. Plot the numbers -4, 0, and 6 on the number line below. Then, indicate their absolute values.

8. Solve for x: |x| = 7

x = 7

x = -7

x = 7 or x = -7

No solution

9. Solve for x: |x - 3| = 5

x = 8

x = -2

x = 8 or x = -2

x = 2 or x = -8

10. Solve the inequality and graph the solution on the number line: |x| < 4

11. Solve the inequality and graph the solution on the number line: |x + 2| ≥ 3

12. The equation |x| = -5 has no solution.

True

False

13. The solution to |x| > 2 is x > 2 or x < -2.

True

False