Math 7 - Lesson 4-2 and 4-3 (Unit Rates and Proportions)

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, to simplify the ratio 35:14, divide both by 7 to get 5:2.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 is a proportion.

Front

How can you determine if two ratios form a proportion?

Back

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

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are equivalent. For example, if the ratio of x to y is constant throughout the table, it is proportional.

Front

What is the unit price?

Back

The unit price is the cost per single unit of measure, such as price per ounce or price per item. It helps compare prices of different sizes or quantities.

Front

How do you find the unit price of an item?

Back

To find the unit price, divide the total price by the total quantity. For example, if Doritos cost $4.39 for 11.5 oz, the unit price is $4.39 ÷ 11.5 oz.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 3:5 and 6:10 are equivalent ratios.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder. For example, the GCD of 8 and 12 is 4.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator. For example, the ratio 3:4 can be written as the fraction 3/4.