Absolute Value Word Problems

Front

What is 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 number.

Front

How do you represent absolute value mathematically?

Back

Absolute value is represented by two vertical bars around a number, for example, |x|.

Front

What is the absolute value of -5?

Back

| -5 | = 5.

Front

What is the absolute value of 3?

Back

| 3 | = 3.

Front

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

Back

x can be 4 or -4.

Front

How do you solve an absolute value equation like |x| = 7?

Back

To solve |x| = 7, set up two equations: x = 7 and x = -7.

Front

What does it mean if |x - 2| = 5?

Back

It means that the distance between x and 2 is 5, so x can be 7 or -3.

Front

How do you interpret absolute value in a real-world context?

Back

Absolute value can represent distances, such as how far a temperature is from freezing, regardless of whether it is above or below.

Front

What is the absolute value of a negative number?

Back

The absolute value of a negative number is the positive version of that number.

Front

If a temperature dropped from 10 degrees to -5 degrees, what is the absolute change in temperature?

Back

The absolute change is |10 - (-5)| = |10 + 5| = 15 degrees.