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 one unit. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate from a ratio, divide the first quantity by the second quantity. For example, if the ratio is 18 orders in 3 days, the unit rate is 18 ÷ 3 = 6 orders per day.

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 do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply and then isolate the variable. For example, if 12/z = 3/4, then 12 * 4 = 3 * z, leading to z = 16.

Front

What is the equivalent fraction for 50%?

Back

The equivalent fraction for 50% is 1/2.

Front

How do you convert a percentage to a fraction?

Back

To convert a percentage to a fraction, write the percentage over 100 and simplify. For example, 25% = 25/100 = 1/4.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. For example, the ratio of red apples to green apples can be expressed as 4 to 3.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both quantities by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3.

Front

What is the price per item if 8 items cost $14.00?

Back

The price per item is $14.00 ÷ 8 = $1.75 per item.

Front

How do you find the total cost from the price per item?

Back

To find the total cost, multiply the price per item by the number of items. For example, if the price is $1.75 and you buy 8 items, the total cost is 1.75 * 8 = $14.00.