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