Ratios, Unit Rates, Proportions

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

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' something (e.g., miles per hour).

Front

What is a proportion?

Back

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

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.

Front

If 3:5 is equivalent to x:20, what is x?

Back

x = 12 (because 3/5 = x/20, so x = (3/5) * 20).

Front

What is the formula to find a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If 5 apples cost $3, what is the cost of 1 apple?

Back

$0.60 (because $3 / 5 apples = $0.60 per apple).

Front

How do you find the total number of items in a ratio?

Back

Add the parts of the ratio together. For example, in a ratio of 2:3, the total is 2 + 3 = 5 parts.

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

If a recipe calls for a ratio of 2:1 for flour to sugar, how much sugar is needed for 4 cups of flour?

Back

2 cups of sugar (because 4 cups of flour corresponds to 2 cups of sugar in a 2:1 ratio).