Absolute Value Equations + Review

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

Solve for x: |x| = 5

Back

x = 5 or x = -5

Front

What does the equation |x - a| = b represent?

Back

It represents two equations: x - a = b and x - a = -b.

Front

Solve for x: |2x + 3| = 7

Back

x = 2 or x = -5

Front

What is the solution to |x| = 0?

Back

x = 0

Front

Solve for x: 3|x - 1| = 9

Back

x = 4 or x = -2

Front

What is the first step to solve |x + 4| = 10?

Back

Set up two equations: x + 4 = 10 and x + 4 = -10.

Front

Solve for x: |x + 2| - 3 = 0

Back

x = 1 or x = -5

Front

What is the solution to |x - 3| = 0?

Back

x = 3

Front

Solve for x: 4|x| + 8 = 24

Back

x = 4 or x = -4