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 by |x|.

Front

How do you solve an absolute value equation of the form |x| = a?

Back

To solve |x| = a, you set up two equations: x = a and x = -a.

Front

What is the absolute value of |0|?

Back

The absolute value of |0| is 0.

Front

Solve for x: |x - 3| = 5.

Back

x = 8 and x = -2.

Front

What is the absolute value of | -12 |?

Back

The absolute value of | -12 | is 12.

Front

How do you solve an equation of the form |ax + b| = c?

Back

You isolate the absolute value and then create two separate equations: ax + b = c and ax + b = -c.

Front

Solve for x: |2x + 1| = 7.

Back

x = 3 and x = -4.

Front

What is the absolute value of | -5.5 |?

Back

The absolute value of | -5.5 | is 5.5.

Front

Solve for x: |3x - 6| = 9.

Back

x = 5 and x = -1.

Front

What is the relationship between absolute value and distance?

Back

Absolute value represents the distance of a number from zero on the number line.