Name ______Date ______

Ratios and Proportional RelationshipsReview Sheet for Test

  1. In August 2009 Jamaican sprinter, Usain Bolt, ran 200 meters in 12.5 seconds. What was his unit rate?
  1. Woody, the woodchuck, and Sally, the seashell collector, were trying to raise money by collecting items (you guessed it, wood and seashells) for the annual Earth Day Celebration. Woody thought that he would charge an initial fee of $3 and then $2 for each piece of wood he chucked. Sally, on the other hand, decided to charge $2.50 for each unique seashell she sold and no initial fee. Which relationship is proportional?
  1. What is the constant of proportionality in the following equation? Y = 2/3 X
  1. If three inches on a map represents 60 miles on land, what is the unit rate?
  1. Use the graph to determine the unit rate.
  1. Write the equation from a graph.
  1. What is the x-coordinate of the point on the graph that shows the unit rate?
  1. It is Saturday morning and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In half an hour the bucket is 1/3 of the way full. What is the rate at which the water is leaking?
  1. Find the sum of 1/4 and 3/5
  1. Divide 2/3 by 3/4
  1. You are asked to buy bags of cement from Home Depot. Each bag of cement covers 250 square feet. How many bags of cement will you need to make a 20 ft by 35 foot foundation?
  1. Joseph wants to buy an ipod that costs $125. He gets paid $8.50 per hour raking leaves. What is the minimum number of hours Joseph will have to rake leaves in order to buy his new ipod?
  1. If you triple the length and the width of a rectangle, how is the area changed?
  1. In his last ten times at bat in the township baseball league, Santiago got 6 hits. If he is at bat 30 times for the season, how many hits will he get if his average stays the same?
  1. Which equation represents the steepest line?
  1. y = 2xb. y = 4x + 9c. y = -5xd. y = 1/2x
  1. Plot the points (2, 2) and (4, 3) and find the slope of the line connecting them.
  1. The Doherty family is planning a trip to Cape Cod next spring vacation. They need to get there in five hours to arrive on time for their family gathering. The distance is 325 miles from their house to Cape Cod. How fast do they need to drive to arrive on time?
  1. Solve 20/4 = x/8
  1. A building casts a shadow55 feet long. At the same time, Andy, who is 6 feet tall, casts a 20-foot shadow. What is the height of the building?
  1. How do you know when a graph shows a proportional relationship?
  1. The Smith family drove 60 mph for two hours and then 75 mph for the next three hours, what was the total distance the Smith family traveled?
  1. Complete the table below by finding the unit rate.

X / 0 / 1 / 2 / 3 / 4 / 5
Y / 0 / 4 / 8 / 12
  1. The base of a triangle is 5 cm. and the height is 6 cm. Find the area of the triangle. If both the base and the height are doubled, what will be the area of the new triangle? What is the relationship between the two areas?
  1. A small legend (also called the key or scale ratio) on the corner of a map states that 2 inches of the length corresponds to an actual length of 25 feet. What is the scale factor?