Comparing & Scaling Investigation 1 & 2 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'.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if they can be expressed as equivalent fractions, meaning their cross products are equal.

Front

What is a unit rate?

Back

A unit rate is a comparison of a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

If a shop produces 39 wetsuits every 2 weeks, how many wetsuits does it produce in 1 week?

Back

19.5 wetsuits.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

Front

What is the unit rate for 405 rotations in 5 minutes?

Back

81 rotations per minute.

Front

If the ratio of dogs to cats is 2 to 3, how many cats are there if there are 14 dogs?

Back

21 cats.

Front

What is the first step in solving a word problem involving ratios?

Back

Identify the quantities being compared and express them as a ratio.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

How can you find a missing value in a proportion?

Back

Set up the proportion and use cross-multiplication to solve for the missing value.