Solving Absolute Value Equations Practice

Front

Define absolute value.

Back

The distance of a number from zero.

Front

Solve for r: −2|−2r − 4| = -12

Back

{-5, 1}

Front

Solve for x: | 3x - 6 | - 9 = -3

Back

x = 0 and x = 4

Front

Solve for n: |−2n| - 30 = −20

Back

{−5, 5}

Front

Solve for x: 8|-2x + 4| = 96

Back

x = -4, x = 8

Front

What is the first step in solving an absolute value equation?

Back

Isolate the absolute value expression.

Front

What does the equation |x| = a imply when a > 0?

Back

x = a or x = -a.

Front

What does the equation |x| = 0 imply?

Back

x = 0.

Front

How do you solve |ax + b| = c?

Back

Set up two equations: ax + b = c and ax + b = -c.

Front

What is the solution set for |x| < a?

Back

-a < x < a.