Solving Absolute Value Equations

Front

What is an absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

How do you solve an absolute value equation?

Back

To solve an absolute value equation, isolate the absolute value expression and then set up two separate equations: one for the positive case and one for the negative case.

Front

Solve the equation: |x + 6| - 10 = -8

Back

x = -4, -8

Front

Solve the equation: |5x| = 40

Back

x = 8, -8

Front

Solve the equation: |-2 + x| - 6 = -1

Back

x = 7, -3

Front

Solve the equation: |x| = 4

Back

x = 4, -4

Front

Solve the equation: -5|-3k| = -30

Back

k = -2, 2

Front

What does it mean if |x| = a, where a > 0?

Back

It means that x can be either a or -a.

Front

What is the first step in solving |x + 3| = 5?

Back

Isolate the absolute value expression: |x + 3| = 5.

Front

If |x| = 0, what is the value of x?

Back

x = 0.