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 non-negative.

Front

Solve for x: |x| = 7

Back

x = 7 or x = -7

Front

What does the equation |a| = b imply when b < 0?

Back

There is no solution, as absolute values cannot be negative.

Front

Solve for x: |2x - 4| = 8

Back

x = 6 or x = -2

Front

What is the absolute value of |3|?

Back

3

Front

Solve for x: |x + 5| = 10

Back

x = 5 or x = -15

Front

What is the general form of an absolute value equation?

Back

|ax + b| = c, where a, b, and c are constants.

Front

Solve for x: |x - 1| = 4

Back

x = 5 or x = -3

Front

What is the absolute value of |-12|?

Back

12

Front

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

Back

x = 1/3 or x = -1