Understanding Absolute Value

Practice Questions

ACT Math Test › Understanding Absolute Value

Questions

10

1

Which of the following equations describes the set of all real numbers that are 2 units away from -3?

2

What is the sum of all real-number solutions to the equation $\left | 2x-7 \right |=1$ ?

3

Which of the following, if solved, would yield the set of all real numbers that are exactly 15 units away from -3?

4

What is the sum of the two solutions to the equation $\left | 2x+3 \right |=5$ ?

5

Which of the following choices provides the complete solution set for the equation $\left | 2x-1 \right |=3$ ?

6

For which value of is the equation $\left | 6-x \right |+1=0$ true?

7

Which of the following equations describes the set of all real numbers that are 5 units away from -3?

8

If is an integer, what is the value of such that $\left | -5x+7 \right |$ is minimized?

9

Which of the following equations describes the set of all real numbers that are units away from ?

10

For what value of is $\left | x+1 \right |+1=0$ ?

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