Solving Absolute Value Equations

Front

What is the definition of absolute value?

Back

The distance of a number from zero.

Front

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

Back

x = -4, x = 8

Front

How many solutions does the equation -6|-r - 4| = -18 have?

Back

Two solutions.

Front

Solve for p: 9|9 - 2p| = 81

Back

p = 0, p = 9

Front

Solve for v: |v + 8| − 5 = 2

Back

{-1, -15}

Front

What does the absolute value of a number represent?

Back

The non-negative value of that number.

Front

If |x| = a, what are the possible values of x?

Back

x = a or x = -a.

Front

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

Back

Isolate the absolute value expression.

Front

Solve for x: |3x - 5| = 7

Back

x = 4, x = -2/3

Front

What is the graphical representation of an absolute value function?

Back

A V-shaped graph.