Standard - Math Test

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

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, even if the numbers themselves are different.

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 a car travels 250 miles using 50 gallons of gas, the unit rate is 250 miles ÷ 50 gallons = 5 miles per gallon.

Front

If the ratio of Blake's savings to Josh's savings is 3:1 and they saved a total of $400, how much has Blake saved?

Back

Blake has saved $300. (3 parts of the total 4 parts = 3/4 * 400 = 300)

Front

What is the ratio of turtles to animals if there are 5 turtles and 8 animals?

Back

The ratio of turtles to animals is 5:8.

Front

If a recipe requires 4 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 4:2, which simplifies to 2:1.

Front

How do you solve for an unknown in a ratio?

Back

To solve for an unknown in a ratio, set up a proportion and cross-multiply to find the missing value.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first number is the numerator and the second number is the denominator.

Front

If a car travels 300 miles using 15 gallons of gas, what is the unit rate in miles per gallon?

Back

The unit rate is 300 miles ÷ 15 gallons = 20 miles per gallon.

Front

How can you determine if two ratios are equivalent?

Back

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