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 always a non-negative value.

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: |3x - 4| = 5

Back

x = 3 and x = -1/3

Front

What does the equation |x + 2| = 0 imply?

Back

x + 2 = 0, so x = -2. The absolute value is zero only when the expression inside is zero.

Front

Solve for x: |2x + 1| = 3

Back

x = 1 and x = -2

Front

What is the absolute value of |0|?

Back

0

Front

Solve for x: |x - 5| = 10

Back

x = 15 and x = -5

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 + 4| = 6

Back

x = 2 and x = -10