Name Date Class __ Score Comparing and Scaling

Unit Test: Show All Your Work for Full Credit

1. The table below shows the medal count of four countries at the 2012 Summer Olympics.
Use the data to complete each statement.

Country Gold Medals Total Medals
United States of America 46 104
Russian Federation 24 82
Australia 7 35
Canada 1 18
SOURCE: The London Organizing Committee of the Olympic Games and Paralympic Games Limited

a. The ratio of United States gold medals to Russia gold medals was about to 1. 2pts

b. Canada had about as many total medals as Australia. 1pt

2. Darthania’s family bought a meal for $80. The tax rate on the meal is 7.25%. Her family left a tip of
10%. What was the total amount she had to pay? 3pts

3. There are 64 pretzels in a 16-ounce bag of chocolate-covered pretzels.
a. Write and solve a proportion that you can use to find the number of chocolate covered pretzels in
a 5-ounce bag. 2pts

b. What is the number of chocolate-covered pretzels per ounce?1pt

c. How many ounces does each pretzel weigh? 1pt

4. The local Farm Market sells peppers at five for $2.25.

a. Complete the rate table. 4pts
Number of
Peppers 1 2 3 4 5 10 15 20 100
Cost 2.25

b. How many peppers could you buy for $20? 2pts

c. Write an equation that relates the number of peppers, n, and the cost, C. 2pts

d. What is the constant of proportionality? How do you know? 2pt

5. Many U. S. employees received a 3% raise in 2012. Suppose an employee made $47,500 in
2011 and received a 3% raise.

a. How much was her raise? 2pts

b. What was her total income in 2012? 1pt

6. The train ride at the zoo covers a distance of miles in of an hour.
a. How many miles per hour does the train go? 3pts

b. How far can the train travel in 3.5 hours? Show your work 2pts

7. The table shows some recipes for organic plant foods.

a. Complete the table to show the unit rates for the ingredients in the Green Tea Recipe. 5pts

b. Write an equation relating the number of cups of green tea G and the number of cups of water W in
the Green Tea recipe. 2pts

8. Ms Robinson wants to purchase a microwave that cost $130. She has a coupon for 15% off. If the
sales tax is 8.25%, how much would be her total cost. 3pts

9. Anna saved $20 in a jar each month for 3 ½ years. She spent 75% of her savings on a computer.
How much money did Anna have left in the jar? 3pts

10. A sporting goods store sells new and used boats. The markup on the boats is 75%.
A salesperson who sells a boat earns a 25% commission on the markup amount. 4pts

Complete the table.
Buying
Price Mark Up
75% of buying price Selling
Price Commission
25% of markup
$2500

Bonus: Melissa wants to purchase a digital camera. The listed price of the camera is
$195.99. The camera is on sale for 10% off and Melissa has a coupon for 5% off. Sales
tax is 7%.
a. How much money will Melissa save with the 10% off?

b. The coupon is applied to the sale price of the camera. How much will Melissa save
by using the coupon?

c. Determine the final cost of the camera?