Rates, Proportions and Percents Unit Review

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

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 calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (as a decimal). For example, to find 20% of 50, calculate 50 x 0.20 = 10.

Front

What is the formula for finding the total cost including tax?

Back

Total Cost = Price + (Price x Tax Rate). For example, if an item costs $100 and the tax rate is 8%, the total cost is $100 + ($100 x 0.08) = $108.

Front

How do you find the sale price after a discount?

Back

Sale Price = Original Price - (Original Price x Discount Rate). For example, if a shirt costs $40 and is on sale for 25% off, the sale price is $40 - ($40 x 0.25) = $30.

Front

What does it mean to split a bill evenly?

Back

To split a bill evenly means to divide the total amount by the number of people sharing the cost, so each person pays the same amount.

Front

How do you convert inches on a map to actual miles?

Back

To convert inches on a map to actual miles, multiply the number of inches by the scale factor. For example, if the scale is 1 inch = 40 miles, then 2.5 inches = 2.5 x 40 = 100 miles.

Front

What is the relationship between variables in a graph?

Back

The relationship between variables in a graph shows how one variable changes in relation to another. For example, in a cost vs. quantity graph, as quantity increases, cost may also increase.

Front

How do you calculate the final price after applying a discount and tax?

Back

Final Price = (Original Price - Discount) + Tax on Discounted Price. For example, if an item costs $100, is 20% off, and has an 8% tax, calculate the discount, then the tax on the discounted price.

Front

What is a tip and how is it calculated?

Back

A tip is a small amount of money given to service workers for their service. It is usually calculated as a percentage of the total bill. For example, a 15% tip on a $50 bill is $50 x 0.15 = $7.50.