Unit Rates, Ratios, Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit cost of an item?

Back

To calculate the unit cost, divide the total cost by the number of items. For example, if 15 pizzas cost $97.50, the unit cost per pizza is $97.50 ÷ 15 = $6.50.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. It can be expressed in different forms such as a fraction, with a colon, or with the word 'to'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How can you determine if two ratios form a proportion?

Back

To determine if two ratios form a proportion, cross-multiply and check if the products are equal. If a/b = c/d, then a*d = b*c.

Front

What does it mean if two ratios are not a proportion?

Back

If two ratios are not a proportion, it means that the cross-products are not equal, indicating that the two ratios do not represent the same relationship.

Front

Solve the proportion: 3/4 = x/12. What is x?

Back

x = 9.

Front

Solve the proportion: 5/8 = 15/x. What is x?

Back

x = 24.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first number is the numerator and the second number is the denominator.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, the ratio 8:12 can be simplified to 2:3.