Ratios, Unit Rates, Graphs&Tables Study Guide

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, 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 factor (GCF).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per 1'.

Front

How do you find the unit rate from a given rate?

Back

To find the unit rate, divide the numerator by the denominator to determine the amount per one unit.

Front

What does it mean if a ratio is in simplest form?

Back

A ratio is in simplest form when both terms are as small as possible and cannot be reduced further.

Front

If a skydiver falls 144 feet in 3 seconds, what is the unit rate of their fall?

Back

The unit rate is 48 feet per second.

Front

How do you compare two ratios?

Back

To compare two ratios, convert them to equivalent fractions and see which is larger or smaller.

Front

What is the purpose of using tables and graphs in ratios?

Back

Tables and graphs help visualize relationships between quantities, making it easier to compare ratios and understand trends.

Front

If the ratio of dogs to cats is 7 to 3, how many dogs are there if there are 21 cats?

Back

There are 49 dogs, since the ratio 7:3 means for every 7 dogs, there are 3 cats.

Front

What is the best way to determine which of two products is a better deal?

Back

Calculate the unit price for each product and compare them; the lower unit price indicates the better deal.