Absolute Value Expressions and Equations

Front

What is absolute value?

Back

The absolute value of a number is its distance from zero on the number line, always expressed as a non-negative value.

Front

Why is absolute value always positive?

Back

Absolute value is talking about distance, and distance is always measured by positive numbers.

Front

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

Back

There is no solution, as absolute value cannot equal a negative number.

Front

Solve for x: |x - 3| = 0

Back

x = 3.

Front

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

Back

x = 5 and x = -3.5.

Front

What is the result of |16| - |-5|?

Back

11.

Front

If |x| = 5, what are the possible values of x?

Back

x = 5 or x = -5.

Front

What is the geometric interpretation of absolute value?

Back

It represents the distance from a point to the origin on a number line.

Front

How do you solve an absolute value equation like |x| = c?

Back

Set up two equations: x = c and x = -c.

Front

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

Back

The solution is x = 0.