Solving Absolute Value

This worksheet covers Solving Absolute Value, which is part of the Absolute Value module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Solving Absolute Value

Absolute Value • SAT Math

Set 4 — Mastery

Solve the equation $|2x - 5| = 7$ . What are the solutions?

x = 6, x = -1

x = 12, x = -2

x = 1, x = 3

x = 5, x = 2

What is the solution to the equation $|3x + 4| = 10$ ?

x = 2, x = - \frac{14}{3}

x = 10, x = -

x = 3, x = -1

x = -2, x = 0

If $|x - 3| = 5$ , what are the possible values of $x$ ?

x = 8, x = -2

x = 3, x = -5

x = 5, x = 1

x = 6, x = 4

Solve for $x$ : $|4x - 1| = 3$ .

x = 1, x = -\frac{1}{4}

x = 1, x = \frac{1}{4}

x = 2, x = 0

x = 0, x = 3

What are the solutions to $|x + 2| = 6$ ?

x = 4, x = -8

x = 6, x = -4

x = 6, x = -8

x = -4, x = 4

If $|5x - 2| = 12$ , what are the values of $x$ ?

x = 2.4, x = -2

x = 2, x = -2.4

x = 2.4, x = -2.4

x = 1.4, x = -1.4

Solve $|x - 1| = 3x - 7$ . What values of $x$ satisfy this equation?

x = 4, x = 2

x = 5, x = 3

For which values of $x$ does $|2x + 3| = x + 7$ hold true?

x = 1, x = 7

x = 2, x = 4

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