Absolute Value Equations

Front

What is the definition of absolute value?

Back

The distance of a number from zero.

Front

Solve the absolute value equation: |x| = 7

Back

x = 7 and x = -7.

Front

Solve for x: |4x - 3| = 17

Back

x = 5 and x = -3.5.

Front

Solve for x: |2x + 9| = 15

Back

x = 3 and x = -12.

Front

Solve for x: |2x - 1| = 9

Back

x = 5 and x = -4.

Front

What does the absolute value of a number represent?

Back

It represents the non-negative value of that number.

Front

If |x| = a, what are the possible values of x?

Back

x = a and x = -a.

Front

What is the absolute value of -10?

Back

10.

Front

How do you solve an absolute value equation?

Back

Set up two equations: one for the positive case and one for the negative case.

Front

What is the solution set for |x| = 0?

Back

x = 0.