Name______

7-Accelerated Math

Comparing and Scaling Summative Assessment

Common Core State Standards for Mathematics 7.RP.1, 2, 3, 4
The student can…
Decide whether two quantities are in a proportional relationship, identify the unit rate, compute unit rates, use proportional relationships to solve problems, represent proportional relationships by equations, use proportional relationships to solve multistep ratio and percent problems, and can make sense of problems and persevere in solving them.
  1. A sign at the fair advertises ticket prices for the carnival games.

Red Tickets: 50 tickets for $37.50
Blue Tickets: 20 tickets for $16.00
Yellow Tickets: 5 tickets for $5.00
  1. Find the unit price for each ticket color. Write a proportion to show your thinking. (6 pts)

Red Tickets: ______

Blue Tickets: ______

Yellow Tickets: ______

  1. How much would 40 red tickets cost? Write a proportion to show your thinking. (2 pts)
  1. How many blue tickets could you buy for $20.00? Write a proportion to show your thinking. (2 pts)
  1. Find a value of x that will make each proportion true. Show your work. (4 pts)
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  1. John can run 20 miles in 180 minutes and Sue can run 16 miles in 144 minutes. Are these rates proportional? Show your thinking.(4 pts)
  1. At Otto’s Car Sales, the markup is 15% of the buying price. The commission at Otto’s is 20% of the markup. Otto bought a luxury sedan for $20,700. What was Otto’s selling price for the luxury sedan? What was the salesperson’s commission? Show your thinking. (5 pts)
  1. The local Farm Market sells tomatoes at five for $2.75.
  1. Complete the rate table. (2 pts)

Number of Tomatoes / 1 / 2 / 3 / 4 / 5 / 10 / 15 / 20 / 100
Cost / 2.75
  1. How many tomatoes could you buy for $13.75? Write a proportion to prove your answer. (2 pts)
  1. Write an equation that relates the number of tomatoes, n, and the cost, C. (2 pts)
  1. What is the constant of proportionality? (1 pt)
  1. The Elise Dairy uses a machine that fills 28cartons of milk an hour
  2. How many cartons will be filled in 6.5 hours? (2 pts)
  1. How long will it take to fill 343 cartons? (2 pts)
  1. If the machine ran continuously for 10 days, how many cartons would it fill? (2 pts)
  1. Write an equation that expresses the relationship between the number of cartons C and the number of hours H. (2 pts)
  1. A store was selling 8 mangos for $10 at the farmers market.
  1. Fill in the rate table below toshow both unit rates. (2 pts)

Mangos (m) / 8 / 1
Cost (C) / $10 / 1
  1. Explain what both of the unit rates mean in the context of the mango problem. (4 pts)
  1. What would the formulas be for each of the unit rates? (2 pts)
  1. Using one of the formulas in part c, calculate the cost of 75 mangos. (2 pts)
  1. Using one of the formulas in part c, calculate how many mangos I can buy for $12.50. (2 pts)

Mayfield City Schools 7th Grade Math PLC CC 2014-15