Solving 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

What is the absolute value of |-7|?

Back

7

Front

Solve the equation: |x - 3| = 5.

Back

x = 8 or x = -2.

Front

Is the absolute value of a number ever negative?

Back

No, the absolute value is always non-negative.

Front

What is the absolute value of |0|?

Back

0

Front

Solve the equation: |2x + 4| = 10.

Back

x = 3 or x = -7.

Front

What does the equation |x| = a imply if a < 0?

Back

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

Front

Evaluate: |15| - |3|.

Back

12

Front

If |x| = 9, what are the possible values of x?

Back

x = 9 or x = -9.

Front

Solve the equation: |x + 1| = 4.

Back

x = 3 or x = -5.