1. Amy baby-sat from 7:30 p.m. to 11:00 p.m. If Amy was paid $15.75, how much did she earn per hour?

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1 Student Name: Teacher: Date: District: Miami-Dade County Public Schools Assessment: 07 Mathematics Mathematics Exam 1 Description: 7th Grade Regular Topic I Assessment - Mathematics Form: 201 Assessment Directions: As indicated on the Grade 7 FSA Mathematics Item Specifications, all of the standards addressed in the items below allow the use of a four-function calculator. 1. Amy baby-sat from 7:30 p.m. to 11:00 p.m. If Amy was paid $15.75, how much did she earn per hour? $4.20 $4.50 $5.25 $ Bianca drove at 60 miles per hour for hours. Collin drove 150 miles in hours and Dale drove 105 miles in hours. Which statement about the drivers rates of speed is true? Dale had the fastest average rate of speed. Collin had the fastest average rate of speed. Bianca had the fastest average rate of speed. All three had the same average rate of speed.

2 3. An experimental vehicle was able to travel mile on gallon of water. At this rate, what was the mileage in miles per gallon of water for this vehicle? 6 4. During a bake sale, dozen cookies were sold in hour. What is the unit rate for the dozens of cookies sold per hour?

3 5. Which graph shows a proportional relationship between the values of x and y?

4 6. The table below shows the relationship between the number of dog years for small breed dogs and the number of human years. Is the relationship between dog years and human years a proportional relationship? Yes, because both lists increase in value. No, because 15:1 is not the same ratio as 24:2. No, because the human years are multiples of 4. Yes, because the dog years increase constantly by Which table shows a proportional relationship between x and y?

5 8. Christopher withdrew 30 United States dollars (USD) from an automatic teller machine in Germany. He received 24 euros (EUR). Which of these describes Christopher s exchange rate from euros to United States dollars? 0.75 EUR / 1.00 USD 0.80 EUR / 1.00 USD 1.00 EUR / 0.80 USD 1.25 EUR / 1.00 USD 9. The graph below shows the prices at which Joanna sells tomatoes according to their weight. Which rate shows the price at which Joanna sells tomatoes? $0.83 per pound $1.20 per pound $1.50 per pound $2.50 per pound

6 10. The constant of variation for a function is 2. Which of the following graphs best represents this situation?

7 11. The table below shows the relationship between C, the cost in dollars of a piece of gold, and W, its weight in ounces. Cost of Gold Based on Weight Cost (C) in Dollars Weight (W) in Ounces 7, , ,200 32

8 12. A researcher listened to a person s heart for a portion of a minute and recorded the number of beats she heard in the table below. From that, she calculated the number of beats per minute, also shown in the table. NUMBER OF HEARTBEATS HEARD (N) HEARTBEATS PER MINUTE (B) Which equation can be used to calculate the beats per minute (B) based upon the number (N) of beats heard? 13. The variables x and y vary directly. When, y = 4. Which of the following equations represents this relationship?

9 14. The price of ceramic tile at a discount tile store is represented on the graph below. What is the meaning and value of r at point C? r represents the unit cost of ceramic tile, $0.80/1 ft 2. r represents the unit cost of ceramic tile, $1.25/1 ft 2. r represents the rate of increase of tile area per dollar, 0.80 ft 2 /$1. r represents the rate of increase of tile area per dollar, 1.25 ft 2 /$1.

10 15. The graph shows the amount of money Vernon earns mowing lawns. What does Point (3, 30) on the graph mean? Vernon mowed 3 lawns and earned $5. Vernon mowed 30 lawns and earned $3. Vernon mowed 3 lawns and earned $10. Vernon mowed 3 lawns and earned $30.

11 16. The number of roses purchased is proportional to the total cost as modeled in the graph shown. Four roses cost $5 as represented by Point R. What is the cost of one rose? $1.25 $2.50 $4.00 $ The ratio of the number of adults to the number of children at a concert is 5 to 3. If there is a total of 120 people at the concert, how many are children? The school office orders boxes of pencils and boxes of pens in a ratio of 5 to 2. If 60 boxes of pencils are ordered, how many boxes of pens should be ordered?

12 19. A recipe for pancakes uses 2 eggs and cups of milk to make 8 pancakes. If Tracy needs to make 20 pancakes, which diagram represents the quantities of eggs and milk she will need? 20. A construction company lowers an object at a rate of 25.6 meters per hour. In 4 hours, how far will the object be lowered? 6.4 meters 29.6 meters meters Which table shows a proportional relationship between x and y?