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

What is the absolute value of |5|?

Back

5

Front

What is the absolute value of |-5|?

Back

5

Front

Solve for x: |x - 4| = 2

Back

x = 2 or x = 6

Front

Solve for x: |2x + 3| = 7

Back

x = 2 or x = -5

Front

Solve for k: |k - 1| = 3

Back

k = 4 or k = -2

Front

Solve for x: |3x - 1| = 5

Back

x = 2 or x = -rac{4}{3}.

Front

What does the equation |x| = a imply when a > 0?

Back

It implies that x = a or x = -a.

Front

What is the solution set for |x| = 0?

Back

The solution set is {0}.

Front

Solve for x: |x + 2| = 3

Back

x = 1 or x = -5