Absolute Value Word Problems

Front

Define 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

What is the solution to the equation |x - a| = b when b >= 0?

Back

The solutions are x = a + b and x = a - b.

Front

Solve: |v + 8| = 7

Back

{-1, -15}

Front

Solve: |x + 1| = 5

Back

{4, -6}

Front

Write an equation for the range of a standard adult tennis racket head size of 100 square inches, plus or minus 20 square inches.

Back

|x - 100| = 20

Front

Write an equation to find the acceptable weight range for a quarter weighing 5.67 grams, with a tolerance of 0.02 grams.

Back

|x - 5.67| = 0.02

Front

Solve: |x - 6| = 6

Back

{12, 0}

Front

What does it mean if |x| = a?

Back

It means x can be either a or -a.

Front

How do you interpret the equation |x - c| = d?

Back

It represents two possible equations: x - c = d and x - c = -d.

Front

What is the geometric interpretation of absolute value?

Back

It represents the distance from a point to zero on the number line.