Absolute Value Expressions and 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: l 4x - 3 l = 17

Back

x = 5 and x = -3.5

Front

What does the equation | x - 3 | = 0 imply about x?

Back

x = 3

Front

Why is absolute value always written as a positive number?

Back

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

Front

Solve for d: |-3d| = 15

Back

d = 5 and d = -5

Front

What is the solution to the equation |x| = -5?

Back

No solution, because absolute value cannot be negative.

Front

If |x + 2| = 4, what are the possible values of x?

Back

x = 2 and x = -6

Front

What is the graphical representation of an absolute value function?

Back

The graph of an absolute value function is a V-shape, opening upwards.

Front

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

Back

x = 1 and x = -2

Front

What is the solution to the equation |x - 1| = 5?

Back

x = 6 and x = -4