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

Solve for x: |x| = 5

Back

x = 5 or x = -5.

Front

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

Back

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

Front

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

Back

x = 3 or x = - 1.

Front

What is the solution to the equation |x + 4| = 0?

Back

x = -4.

Front

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

Back

x = 1 or x = -2.

Front

What is the geometric interpretation of absolute value?

Back

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

Front

Solve for x: |x - 3| = 2

Back

x = 5 or x = 1.

Front

What is the reason that absolute value is always written as a positive?

Back

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

Front

Evaluate: |x + 9| = -5

Back

No solution.