Ch 5 Review: Ratios, Rates & Percents

Front

What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, indicating how many times one value contains or is contained within the other.

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first number by the second number and then multiply the result by 100.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

What is the formula for calculating a percentage?

Back

The formula for calculating a percentage is: (Part/Whole) x 100.

Front

How do you find the equivalent ratio of 3:4?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number. For example, multiplying by 2 gives 6:8.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds.

Front

How can you express 25% as a fraction?

Back

25% can be expressed as the fraction 25/100, which simplifies to 1/4.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Front

How do you calculate the total cost if an item costs $20 and there is a 15% tax?

Back

To calculate the total cost, multiply the cost by the tax rate (0.15) and add it to the original cost: Total Cost = $20 + ($20 x 0.15) = $23.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal. For example, if a/b = c/d, then a:b is proportional to c:d.