Proportions and Literal Equations

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

To solve a proportion, cross-multiply the terms and then solve for the variable.

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, use inverse operations to get the variable on one side of the equation.

Front

What does it mean to cross-multiply?

Back

Cross-multiplying involves multiplying the numerator of one fraction by the denominator of the other fraction.

Front

If a/b = c/d, what is the cross-multiplication result?

Back

The result is ad = bc.

Front

Solve for x: 3/x = 6/12

Back

x = 6.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

Solve for y: 4y - 5 = 11

Back

y = 4.

Front

What is the formula for finding a missing term in a proportion?

Back

If a/b = c/x, then x = (b * c) / a.