Absolute Value and Proportions

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

Solve for v: |v + 8| − 5 = 2

Back

v = -1 or v = -15

Front

What is the solution to the proportion: 3/4 = x/8?

Back

x = 6 (This is an example of solving a proportion.)

Front

Solve for r: −2|−2r − 4| = -12

Back

r = -5 or r = 1

Front

Why is absolute value always written as a positive number?

Back

Absolute value is talking about distance, and distance is always measured by positive numbers.

Front

Solve for x: 3|−8x| + 8 = 80

Back

x = -3 or x = 3

Front

What does the equation |x| = a represent?

Back

It represents two equations: x = a and x = -a, where a is a non-negative number.

Front

If |x| = 0, what is the value of x?

Back

x = 0.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

Cross-multiply the two ratios and set the products equal to each other.