Unit 3 Review: Rates, Ratios, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

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 unknown.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form, where the two numbers have no common factors other than 1.

Front

What is the simplified form of the ratio 20 to 25?

Back

The simplified form of the ratio 20 to 25 is 4 to 5.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross-products are equal.

Front

What is the cross-product of the ratios 3:5 and 6:10?

Back

The cross-products are 3 * 10 = 30 and 5 * 6 = 30, so they form a proportion.

Front

What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

The ratio of boys to girls is 13 to 10.

Front

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

Back

The value of x is 2.