Proportions

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 two ratios and set the products equal to each other.

Front

What is the formula for a direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

If y = 19.25x, what is the constant of variation?

Back

The constant of variation is 19.25.

Front

What does it mean if two ratios form a proportion?

Back

It means that the two ratios are equivalent, or that they represent the same relationship.

Front

Solve for x: 4/5 = x/20

Back

x = 16.

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.

Front

If 3/4 = x/12, what is x?

Back

x = 9.

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios have the same value when simplified.

Front

Determine if the following ratios form a proportion: 2/3 and 4/6.

Back

Yes, they form a proportion because 2/3 = 4/6.