Ratios and Proportions Unit Review

Ratios and Proportions Unit Review

EOG Review

Unit Rates

A unit rate is a comparison of two quantities where the second quantitiy is 1.

A unit rate tells you how many units of the first quantity corresponds to one unit of the second quantity.

Multiple Choice

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

• $8 per pound
• $5 per pound
• $35 per pound
• 0.125 pounds per dollar

Multiple Choice

Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz

• Oreos
• Chips Ahoy

Unit Rates with Fractions

You can also find unit rates with fractions. You simplify the complex fraction by dividing just as you would if the numerator and denominator were whole numbers.

Multiple Choice

A boy painted 2/3 of a barn using 1/5 of a can of paint. How many barns can he paint using one can of paint?

• 3 and 1/3 barns

• 2/15 barns

• 3 barns

• 15/2 barns

Multiple Choice

A recipe calls for 2/3 cup white sugar for every ¾ cup brown sugar. If I want to use 1 cup of white sugar, how much brown sugar should I use?

• 9/8 cups

• 1/2 cups

• 8/9 cups

• 2 cups

Multiple Choice

A novelist can write 2 ¼ pages in 3/5 of an hour. What is her speed in pages per hour?

• 4/15 pages per hour

• 15/4 pages per hour

• 20/27 pages per hour

• 27/20 pages per hour

What is a proportional relationship?

A group of ratios that are equivalent are in a proportional relationship. This means each ratio has the same unit rate. We call this unit rate the constant of proportionality.

Multiple Choice

Is this table proportional?

• not proportional

• k = 10

• k = 0.05

• k = 20

Multiple Choice

Does the table represent a proportional relationship?

• Yes.

• No.

Constant of Proportionality

• If two quantities are in a proportional relationship, then the constant of proportionality is equal to the ratio of  $\frac{y}{x}$ .

• The equation y=kx, where k is the constant of proportionality is used to represent any proportional relationship.

Multiple Choice

Write the equation for the table given.

• y = 1/3x
• y = 3x
• y = 1/2x
• y=x

Multiple Choice

What is the constant of proportionality? 

• 20
• 4
• 1/5
• 5

Multiple Choice

Determine the constant of proportionality for the table. Express your answer as y = kx

• y = 1/2x

• x = 1/2y

• y = 2x

• k = x

Multiple Choice

In the equation y = 14x, what is the constant of proportionality?

• y

• x

• 14

• 1/14

Multiple Choice

Coach Becker needs to buy new basketballs for gym class. This table shows the total cost of different numbers of basketballs. What is the cost per basketball?

• $5
• $9
• $13
• $27

Multiple Choice

The table shows the number of miles Tony ran and the calories he burned per mile. Which number completes the table?

• 160

• 180

• 200

• 240