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 k: |k - 9| = 4

Back

k = 5 or k = 13

Front

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

Back

x = -2.333... or x = 1

Front

What is the absolute value of |8|?

Back

8

Front

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

Back

x = 5 or x = -4

Front

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

Back

x = 5 or x = -3.5

Front

What does the equation |x| = a represent?

Back

It represents two equations: x = a and x = -a, where a is a non-negative number.

Front

If |x| = 0, what is the value of x?

Back

x = 0

Front

How do you solve an absolute value equation?

Back

Isolate the absolute value expression, then set up two separate equations to solve for the variable.

Front

What is the absolute value of a negative number?

Back

The absolute value of a negative number is its positive counterpart.