Ratios and Rates Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you have 60 miles in 2 hours, the unit rate is 60 miles ÷ 2 hours = 30 miles per hour.

Front

What is the formula for finding the cost per item?

Back

The cost per item is found by dividing the total cost by the number of items. Formula: Cost per item = Total Cost ÷ Number of Items.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form.

Front

How do you find the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the corresponding length of a side of the other figure.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as speed (miles per hour) or price (cost per item).

Front

If a car travels 240 miles in 4 hours, what is its speed in miles per hour?

Back

The speed is 240 miles ÷ 4 hours = 60 miles per hour.

Front

What is the ratio of red marbles to total marbles if there are 2 red, 3 blue, and 5 yellow marbles?

Back

The total number of marbles is 2 + 3 + 5 = 10. The ratio of red marbles to total marbles is 2:10, which simplifies to 1:5.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, the ratio 3:4 becomes the fraction 3/4.