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

Solve |x - 3| = 5. What are the possible values of x?

Back

x = 8 or x = -2.

Front

What does it mean if |a| = b, where b is a positive number?

Back

It means that a can be either b or -b.

Front

Solve |2x + 1| = 3. What are the possible values of x?

Back

x = 1 or x = -2.

Front

What is the solution to |x + 4| = -2?

Back

No solution, because absolute values cannot be negative.

Front

If |x| = 0, what is the value of x?

Back

x = 0.

Front

Solve |3x - 6| + 2 = 5. What are the possible values of x?

Back

x = 2 or x = 0.

Front

What is the graphical representation of an absolute value function?

Back

It forms a V-shape on the graph, opening upwards.

Front

Solve |x - 1| = 4. What are the possible values of x?

Back

x = 5 or x = -3.

Front

What is the definition of an absolute value equation?

Back

An equation that contains an absolute value expression, which can have two possible solutions.