Solve 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: |x| = 6

Back

x = 6 or x = -6

Front

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

Back

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

Front

Solve: |x + 5| = 12

Back

x = 7 or x = -17

Front

What is the first step to solve an absolute value equation?

Back

Isolate the absolute value expression on one side of the equation.

Front

Solve: -2|x - 8| = -12

Back

x = 14 or x = 2

Front

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

Back

It means that there are no values of x that satisfy the equation.

Front

Solve: |x - 4| + 5 = 25

Back

x = 24 or x = -16

Front

What is the general form of an absolute value equation?

Back

The general form is |expression| = constant.

Front

How do you graph an absolute value function?

Back

The graph of an absolute value function forms a V shape, opening upwards or downwards depending on the coefficient.