Algebra U4L14 - Absolute Value Word Problems

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 denoted as |x|.

Front

Write the absolute value equation for a situation where a number is 10 units away from 5.

Back

|x - 5| = 10

Front

If |x - 3| = 4, what are the possible values of x?

Back

x = 7 or x = -1

Front

What does the equation |x - a| = b represent?

Back

It represents that x is b units away from a on the number line.

Front

Write the absolute value equation for a situation where a number is 2 units away from -3.

Back

|x + 3| = 2

Front

If the average score of a class is 80 and the scores vary by 5, write the absolute value equation to represent this situation.

Back

|x - 80| = 5

Front

What is the solution to the equation |x - 12| = 3?

Back

x = 15 or x = 9

Front

Write the absolute value equation for a situation where a temperature is 30 degrees, give or take 4 degrees.

Back

|T - 30| = 4

Front

If a car's speed is 60 mph, and it can vary by 10 mph, write the absolute value equation for this situation.

Back

|s - 60| = 10

Front

What is the meaning of the equation |x - 50| = 15 in a real-world context?

Back

It means that the value of x is either 15 units above or below 50.