Chapter 1 Test

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the number of units of another item. For example, if a car travels 300 miles in 5 hours, the unit rate is 300 miles ÷ 5 hours = 60 miles per hour.

Front

What is a ratio?

Back

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

Front

If a ratio is 4:5, what does it mean?

Back

It means for every 4 units of the first quantity, there are 5 units of the second quantity.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 2:3 is equivalent to 4:6.

Front

How can you find the number of boys in a ratio problem?

Back

To find the number of boys in a ratio problem, set up an equation based on the given ratio and the total difference in quantities. Use a tape diagram for visual aid.

Front

What is the unit rate if a person swims 1,700 meters in 40 minutes?

Back

The unit rate is 1,700 meters ÷ 40 minutes = 42.5 meters per minute.

Front

What does it mean if there are 80 more girls than boys in a ratio problem?

Back

It means that the total number of girls exceeds the total number of boys by 80, which can be used to set up an equation to find the number of boys.

Front

How do 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 divisor (GCD).

Front

What is the relationship between ratios and fractions?

Back

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