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

Solve for x: |x| = 7

Back

x = 7 and x = -7

Front

What is the absolute value of | -12 |?

Back

12

Front

Solve for x: |2x + 3| = 5

Back

x = 1 and x = -4

Front

What does it mean if |x| = 0?

Back

It means x = 0.

Front

Solve for x: |x - 4| = 3

Back

x = 7 and x = 1

Front

What is the absolute value of | 0 |?

Back

0

Front

Solve for x: |3x - 1| = 8

Back

x = 3 and x = -rac{7}{3}.

Front

What is the general form of an absolute value equation?

Back

An absolute value equation can be expressed as |A| = B, where A is an expression and B is a non-negative number.

Front

Solve for x: |x + 2| = 6

Back

x = 4 and x = -8