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Proportional Relationships and Percents Review #1

By Regina Sapienza
Last updated about 1 year ago
30 Questions

The World Future Society predicts that by the year 2020, airplanes will be able to carry 1400 passengers. Today's biggest jets can carry 600 passengers. What will the percent of increase be for passenger airplanes? (Round your answer to the nearest tenth of a percent).

As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Katy bought a 2010 Kia Sportage for $9559. One year later, the value of the car was $8500. What is the percent of decrease of the value of the car? (Round to the nearest whole percent).

In 2012, the population in a town was 8,000 people. In 2017, the population was 11,400. What was the percent increase in the population?

Helen got an 95% on her math quiz. She had 38 questions right. How many questions were on the quiz?

Tim read 70% of his book containing 230 pages. How many pages does he have left?

30% of ______________ = 600

Lee mixes 4 units of red paint with 8 units of white paint to get pink. How many units of red paint should she mix with12 units of white paint to get the same shade of pink?

The Atlanta Braves hit the most homeruns in 2014. This was 6% of the entire League homeruns. If 583 total homeruns were hit, approximately how many did the Braves hit?

Lee sells electronics. He earns a 5% commission on each sale he makes. Write an equation that shows the proportional relationship between the dollar amount of electronics Lee sells, d, and the amount of money he makes in commission, c.

The sale price of an item is $160 after a 20% discount. What was the original price of the item?

Rikki got her haircut which cost $16. She gave the stylist a 25% tip. How much was the tip?

A pair of sandals cost $34.00, and 5% tax is charged on the purchase. How much tax is paid?

The Khan family ate at Sunbird Seafood last Friday and their bill was $70. They left the server a 15% tip. The tax rate was 5%. How much money was for the tip only?

You and your friends order a meal for $63.64. Calculate the amount you should leave for a 20% tip. Show your work in the space provided.

What is the total bill including the tip?

Match an equation to each of these situations.

The water level in a reservoir is now 52 meters. If this was a 23% decrease, what was the initial depth?
52=1.23x
The water level in a reservoir is now 52 meters. If this was a 23% increase, what was the initial depth?
52=1.77x
The snow is now 52 inches deep. If this was a 77% decrease, what was the initial depth?
0.77x=52
The snow is now 52 inches deep. If this was a 77% increase, what was the initial depth?
0.23x=52

In a video game, Clare scored 50% more points than Tyler. If c is the number of points that Clare scored and t is the number of points that Tyler scored, which equations are correct? Select all that apply.

What is the side length of a square that has an area of 529 square feet? Include the units.

What is the side length of a square that has a perimeter of 288 inches? Include the units.

The graph of a proportional relationship contains the point with coordinates (3,12). What is the constant of proportionality of the relationship?

Find the area of the polygon. Include the units.

To make a certain color of paint, Amy mixed 2/3 cups of white paint with 2 and 2/3 cups of green paint. How many cups of green paint should she mix with 3/4 cups of white paint to make the same shade? (Include the units)

Question: Motorcycles (#23-24)

Emilio wants to buy a new motorcycle. He wants to compare the gas efficiency for each motorcycle before he makes a purchase. The dealerships presented the data below.

What are the miles per gallon for the "Sports Motorcycle?"

________ miles per gallon

What are the miles per gallon for the "Leisure Motorcycle?"

________ miles per gallon

Question: Theme Parks (#25-27)

The admission prices for three theme parks are shown below. Find the cost per ticket for each park and then decide which has the best deal! Which theme park offers the best deal for tickets?

What is the cost per ticket at Great America?

$______ per ticket

What is the cost per ticket at Santa's Village?

$______ per ticket

What is the cost per ticket at Hershey Park?

$______ per ticket

Question: Skate Rental (#28-30)

Which sports store offers the best deal for skate rentals?

What is the cost per hour at Sports Authority?

$______ per hour

What is the cost per hour at Sports Mart?

$______ per hour

What is the cost per hour at Sporty McGavins?

$______ per hour