Unit Review: Unit Rate, Ratio, Percent

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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 150 miles in 3 hours, the unit rate is 50 miles per hour.

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How do you calculate a percentage of a quantity?

Back

To calculate a percentage of a quantity, multiply the quantity by the percentage (expressed as a decimal). For example, to find 16% of 50, calculate 50 * 0.16 = 8.

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other. For example, the ratio of 2 to 3 can be written as 2:3.

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How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For example, 1/4 = 0.25, which is 25%.

Front

What is the relationship between ratios and rates?

Back

A ratio compares two quantities, while a rate is a specific type of ratio that compares two quantities with different units, such as miles per hour.

Front

How do you find the equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number. For example, the ratio 2:3 is equivalent to 4:6.

Front

What is the formula for calculating the unit price?

Back

The unit price is calculated by dividing the total price by the number of units. For example, if 5 apples cost $3, the unit price is $3/5 = $0.60 per apple.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for the ratios a:b and c:d, they are equivalent if a*d = b*c.

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 do you solve a proportion?

Back

To solve a proportion, cross-multiply and then solve for the unknown variable. For example, if x/3 = 2/6, then 6x = 6, so x = 1.