Absolute Value Equations, Functions, and Inequalities
Explore absolute value equations, functions, and inequalities with this Grade 8 math worksheet.
Includes
Standards
Absolute Value Equations, Functions, and Inequalities
Name:
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?
x = 7
x = -7
x = 7 or x = -7
No solution
2. Which of the following represents the graph of y = |x|?
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.
True
False
6. The graph of an absolute value function always forms a "V" shape.
True
False
7. Solve the inequality |x - 4| > 2 and graph the solution on a number line.
8. Explain how to solve an absolute value equation. Provide an example to illustrate your explanation.
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