Ratios, Proportions, Unit Rate, Proportional Reasoning

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 express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit price?

Back

To find the unit price, divide the total price by the number of units.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant rate of change.

Front

If 3 sweatshirts cost $60, what is the cost of one sweatshirt?

Back

The cost of one sweatshirt is $20.

Front

How do you determine which store has the better buy?

Back

Calculate the unit price for each store and compare them; the store with the lower unit price is the better buy.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a recipe requires a ratio of 2:3 for sugar to flour, how much sugar is needed for 6 cups of flour?

Back

To find the amount of sugar needed, set up the proportion: 2/3 = x/6, which gives x = 4 cups of sugar.