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 always a non-negative value.

Front

How do you solve an absolute value equation?

Back

To solve an absolute value equation, set the expression inside the absolute value equal to both the positive and negative values of the other side of the equation.

Front

What is the absolute value of -5?

Back

| -5 | = 5

Front

What is the absolute value of 3?

Back

| 3 | = 3

Front

Solve for x: |x| = 4

Back

x = 4 or x = -4

Front

Solve for x: |x - 2| = 5

Back

x = 7 or x = -3

Front

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

Back

x = 2 or x = -5

Front

What does it mean if an absolute value equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

Solve for x: |x + 1| = 0

Back

x = -1

Front

What is the solution set for |x| = -3?

Back

No Solution, because absolute values cannot be negative.