Absolute Value and Proportions

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

Solve for v: |v + 8| − 5 = 2

Back

v = -1 or v = -15

Front

What does the equation |x| = a represent?

Back

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

Front

Solve for r: −2|−2r − 4| = -12

Back

r = -5 or r = 1

Front

What is the property of absolute value regarding negative numbers?

Back

The absolute value of a negative number is the same as the absolute value of its positive counterpart.

Front

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

Back

x = 3 or x = -3

Front

What is a proportion?

Back

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

Front

Solve the proportion: 3/4 = x/16

Back

x = 12

Front

What is the first step in solving an absolute value equation?

Back

Isolate the absolute value expression on one side of the equation.

Front

If |x - 5| = 10, what are the possible values of x?

Back

x = 15 or x = -5