Rates, Ratios, Unit Rate and Percent Review

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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.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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).

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CCSS.6.RP.A.1

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How do you find the percent of a quantity?

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To find the percent of a quantity, divide the part by the whole and then multiply by 100. For example, to find 40% of 350, calculate (40/100) * 350.

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CCSS.6.RP.A.3C

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What does the term 'percent' mean?

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Percent means 'per hundred' and is a way to express a number as a fraction of 100.

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How do you solve for a variable in a proportion?

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To solve for a variable in a proportion, cross-multiply and then isolate the variable. For example, in k/5 = 9/15, cross-multiply to get 15k = 45, then k = 3.

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CCSS.7.RP.A.2C

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What is the formula for calculating a unit rate?

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The formula for calculating a unit rate is: Unit Rate = Total Quantity / Number of Units.

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CCSS.6.RP.A.1

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Front

If 12 out of 30 cars finished a race, how do you calculate the percent that finished?

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To calculate the percent, divide the number of cars that finished (12) by the total number of cars (30) and multiply by 100: (12/30) * 100 = 40%.

Front

What is the relationship between ratios and fractions?

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

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CCSS.6.RP.A.1

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How do you express a ratio in simplest form?

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To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

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Front

What is a proportion?

Back

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

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CCSS.7.RP.A.2A