Standard - Math Test

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit rate in miles per gallon?

Back

To calculate the unit rate in miles per gallon, divide the total miles traveled by the total gallons of gas used.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

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

If the ratio of apples to bananas is 3:4, how many apples are there if there are 28 bananas?

Back

There are 21 apples. (Using the ratio 3:4, for every 4 bananas, there are 3 apples. 28 bananas = 21 apples.)

Front

What is the simplest form of the ratio 15:5?

Back

The simplest form of the ratio 15:5 is 3:1.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

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 many total pieces of fruit are there if the ratio of apples to bananas is 3:4 and there are 35 pieces of fruit?

Back

There are 15 apples and 20 bananas.