Math 6/7 Unit 4 Learning Check #1: Ratios & Unit Rates

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 simplify a ratio?

Back

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

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 'x per 1 unit'.

Front

How do you find a unit rate from a ratio?

Back

To find a unit rate, divide the first quantity by the second quantity to express it as 'x per 1 unit'.

Front

If the ratio of white socks to black socks is 4:5, how many white socks are there if there are 25 black socks?

Back

There are 20 white socks.

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.

Front

How do you solve a problem using a ratio table?

Back

Create a table that lists equivalent ratios, then use it to find missing values by scaling up or down.

Front

If 50 boxes of toothpicks cost $45, what is the cost of 1 box?

Back

The cost of 1 box is $0.90.

Front

For every 3 people, how many hot dogs are needed if the ratio is 5 hot dogs to 3 people?

Back

For 9 people, you need 15 hot dogs.

Front

How do you determine the fastest rate from different rates?

Back

Calculate the rate for each option (pages per minute) and compare them.