Absolute Values

Front

What is the definition of absolute value?

Back

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

Front

What is the absolute value of -5?

Back

The absolute value of -5 is 5.

Front

What is the absolute value of 3?

Back

The absolute value of 3 is 3.

Front

How do you express the absolute value of x mathematically?

Back

The absolute value of x is expressed as |x|.

Front

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

Back

The solutions are x = 4 and x = -4.

Front

What is the last step in solving equations with absolute values?

Back

Always check your answer to ensure it satisfies the original equation.

Front

What does the equation |x - 2| = 5 represent?

Back

It represents two equations: x - 2 = 5 and x - 2 = -5.

Front

What is the solution to the equation |2x + 1| = 3?

Back

The solutions are x = 1 and x = -2.

Front

What is the graphical representation of an absolute value function?

Back

An absolute value function creates a V-shaped graph.

Front

What is the effect of a negative sign in front of an absolute value?

Back

A negative sign in front of an absolute value reflects the graph across the x-axis.