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7th Math Common Assessment Unit #3A Ratios and Proportions REVIEW (7.4A, 7.4B, 7.4C, 7.4D, 7.4E, 7.5C, 7.7A) 4. The graph below represents the price of the soda at one store. What is the constant of proportionality? Cost of soda 80 70 60 50 40 30 20 10 0 0 2 4 6 8 10 12 14 Time Worked (t) What is the constant rate of change for this situation? 2. Your flight took you 3 hours and 20 minutes to travel to your destination. The plane you are in flies at 450 miles per hour. What is the distance to your destination? 3. You jogged 3 miles to a friend’s house and it took you 45 minutes to get there. How many miles per hour do you jog? Price (cents) Number of jeans made ($) 1. The graph below shows the relationship between the numbers of jeans a worker makes and the number of hours worked. Name: __________________________________ 280 260 240 220 200 180 160 140 120 100 80 60 40 20 0 0 3 6 9 12 15 18 Ounces 5. A pancake batter consists of 4 cups of mix and 3¾ cups of water. How much water is needed if you use 6 cups of mix? 6. 12,000 water balloons are being filled with water at a rate of 16 balloons per minute. At this rate, how many minutes will it take to fill 2/3 of the water balloons 7. How many gallons are in 12 liters? 1 liter = 1.06 quarts 4 quarts = 1 gallon Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value 8. Below is a map of your hometown. Denton is under a lot of construction and has closed the road you take from your home to school. You will first have to drive by the gas station before going to school. How many miles less is it going straight to school instead of this detour? 10. Mr. Long Leggs is trying to break a world record. Mr. Leggs will run 20,000 feet at a rate of 880 feet per minute. The situation is modeled by the equation below, where f is the number of feet remaining and t represents the number of minutes already ran. f = 20,000 – 880t Complete the table. t f 1 4 8 11 22 School 10 mm Home Gas Station 5 mm = 1 mile 11. Which equation best represents the data in the table below? 9. The model of this truck and trailer is made using a scale of 1 inch to 36 feet (1:36). If the length of the model is 15 inches then about how many feet long is the length of the actual truck and trailer? x y 0 2 2 5 4 8 6 11 2x – 3y = -6 3x - 2y = 4 2x – 3y = -11 3x – 2y = -4 8 14 ADV ONLY: 12. 13. Find the slope of a line that passes through the points (4, 10) and (2,10)