Absolute Value Equations

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

How do you solve an absolute value equation?

Back

To solve an absolute value equation |A| = B, you set up two separate equations: A = B and A = -B.

Front

What is the solution to the equation |x| = 5?

Back

x = 5 or x = -5.

Front

What does it mean if |A| = -B?

Back

There is no solution, because absolute values cannot be negative.

Front

Solve for x: |x - 3| = 7

Back

x = 10 or x = -4.

Front

Solve for x: |2x + 1| = 3

Back

x = 1 or x = -2.

Front

What is the solution to the equation |x + 4| = 0?

Back

x = -4.

Front

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

Back

No solution.

Front

What is the solution to the equation |x| = 0?

Back

x = 0.

Front

Evaluate: |x + 9| = -5

Back

No solution.