Rates and Ratios

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

How do you simplify a ratio?

Back

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

Front

What is a rate?

Back

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

Front

How do you find the unit price?

Back

To find the unit price, divide the total price by the quantity of the item.

Front

What is the formula for the surface area of a rectangular prism?

Back

The surface area (SA) = 2(lw + lh + wh), where l = length, w = width, h = height.

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.

Front

How do you convert pounds to ounces?

Back

To convert pounds to ounces, multiply the number of pounds by 16 (since 1 pound = 16 ounces).

Front

If Heather runs 3,000 feet in 5 minutes, how do you find her speed in feet per minute?

Back

To find speed, divide the distance by time: Speed = 3000 feet / 5 minutes = 600 feet per minute.

Front

What is the relationship between rates and ratios?

Back

Rates are a type of ratio that compares two different units, while ratios can compare any two quantities.

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.