Algebra 2 1-6 Independent Practice: Absolute Value Equations and Inequalities

by Matthew Richardson

| 10 Questions1

10

Solve the equation. Check your answers.|-6x| = 24

4

-4, 4

-144

-144, 144

2

10

Solve the equation. Check your answers.|2x + 8| - 4 = 12

4, 12

-12, 4

4

-12

3

10

Solve the equation. Check your answers.|x - 2| = 4x + 8

-10/3

6/5, 10/3

-6/5

-6/5, -10/3

4

10

Solve the inequality. Graph the solution. |2x + 2| - 5 < 15

Include relevant graph detail.

5

10

Solve the inequality. Graph the solution. |4x - 6| > 10

Include relevant graph detail.

7

10

Reasoning: When is the absolute value of a number equal to the number itself?

8

10

Provide an Example: Give an example of a compound inequality that has no solution.

9

10

Compare and Contrast: Describe how absolute value equations and inequalities are similar to linear equations and inequalities and how they are different.

10

10

Reflection: Math Success

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