proportions and literal equations

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms. For example, if a/b = c/d, then ad = bc.

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, use inverse operations to move other terms to the opposite side of the equation.

Front

Solve for x: 3x + 5 = 20

Back

x = 5.

Front

Solve for y: 2y - 4 = 10

Back

y = 7.

Front

Solve for a: 12am = 4

Back

Front

Solve for x: 5(x - 2) = 15

Back

x = 5.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one fraction by the denominator of the other fraction to find a solution.

Front

Back

x = 26.