Review Absolute Value

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

Is absolute value always positive?

Back

Yes, the absolute value of any real number is always positive or zero.

Front

How do you evaluate the absolute value of a number?

Back

To evaluate the absolute value, remove the negative sign if the number is negative. For example, | -5 | = 5 and | 5 | = 5.

Front

Order the following numbers from least to greatest: -2, |8|, 5, |-10|, 6.

Back

-2, 5, 6, |8|, |-10| (which is 10).

Front

Evaluate: | 15 - 5 |.

Back

10.

Front

What is the relationship between -12 and 12?

Back

-12 < 12.

Front

Solve for x: | 5x | = 40.

Back

x = 8 and x = -8.

Front

What does the notation |x| represent?

Back

|x| represents the absolute value of x.

Front

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

Back

x can be either a or -a.

Front

How do you graph absolute value functions?

Back

Absolute value functions create a V-shape on the graph, opening upwards.