Ratios, Rates, and Unit Rates Test

Front

What is a ratio?

Back

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

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 8 gallons of gas cost $32, the unit rate is $32 ÷ 8 = $4 per gallon.

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different. For example, 3:5 and 6:10 are equivalent ratios.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

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, use cross-multiplication. For example, if 3/4 = x/8, then 3 * 8 = 4 * x, leading to x = 6.

Front

What is a unit rate in the context of money?

Back

A unit rate in the context of money is the cost per single unit of an item, calculated by dividing the total cost by the number of units.

Front

If 5 pounds of concrete cost $40, what is the unit rate?

Back

The unit rate is $40 ÷ 5 = $8 per pound.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the two quantities.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common factor (GCF).