Solving Linear Proportions

Front

What is a linear proportion?

Back

A linear proportion is an equation that states that two ratios are equal, often expressed in the form a/b = c/d, where a, b, c, and d are numbers.

Front

How do you solve for x in a proportion?

Back

To solve for x in a proportion, cross-multiply the terms and then isolate x. For example, if a/b = c/x, then cross-multiply to get ax = bc, and solve for x.

Front

What does it mean if two ratios are in proportion?

Back

If two ratios are in proportion, it means that the two fractions are equal, indicating a constant relationship between the quantities.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio to find an unknown value in a proportion.

Front

Solve for x: 2/3 = x/9

Back

x = 6

Front

Solve for y: 5/y = 15/3

Back

y = 1

Front

What is the value of x in the proportion 4/x = 8/16?

Back

x = 2

Front

If a/b = c/d, what is the relationship between a, b, c, and d?

Back

The relationship is that a * d = b * c, meaning the product of the means equals the product of the extremes.

Front

Solve for k: 3/k = 9/12

Back

k = 4

Front

What is the first step in solving a proportion?

Back

The first step is to set the two ratios equal to each other and identify the unknown variable.