!st Quarter Benchmark Review with Notes.notebook October 24, October 24, 2016

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1 October 24, Cell phone in the parking lot. 2. Notebook out for review notes. 3. Any make-up work needs to go in basket.

2 I can review for the 1 st Quarter Benchmark test. 7.RP.1; 7.RP.2 1. Open your notebook to the last objective you wrote Friday. 2. Skip a line and write the date - October 24, Skip one line and write the objective from above. 4. Skip a line and copy the Bell Ringer Questions and answer them.

3 Answer each review question the best that you can. Let d equal the distance in meters and t equal the time in seconds. What is the direct variation equation for this relationship? 2. A breakfast cereal is available in 2 different sizes. Which is the best buy? 10 ounce box for $3.20 or 16 ounce box for $ When identifying a unit rate, what must always be in the denominator (bottom number of a fraction)? 4. It takes 4 eggs to bake 48 cupcakes. How many eggs does it take to bake 12 cupcakes? 5. A package of medicated 20 cough drops costs $0.89. What is the unit cost? 6. A sampling of hemlock trees revealed that 5 out of 150 trees are infected with insects. About how many of the 600 hemlock trees in a state park are infected with insects? 7. What is the unknown quantity? 12 tickets = 4 tickets $156?

4 8. What do you call an equation that states that two ratios are equal? 9. How many minutes are in a day? 10. Jeremy bought 2 pair of pants for $ Each pair of pants cost the same amount. How much will he pay for 6 pair of pants at the same price per pair? 11. A cereal company determines that 5 out of 7 people who bought cereal bought raisin bran. If 4200 shoppers were surveyed, how many bought raisin bran? 12. A painter mixes cans of red and blue paint to make the shade needed for painting a bedroom. The table shows the proportions he can use for the color he wants. Red Cans Blue Cans What is the direct variation equation for this relationship? 13. The amount of chlorine needed to treat a swimming pool is directly proportional to the volume of the pool. Chlorine (c) Volume of Pool (p) What is the constant of proportionality?

5 14. Kayla uses a rate table to keep track of how much she earns on her job based on how long she works. Hours Worked Amount Earned? $36???... $180 How much will Kayla earn if she works a 4 hour shift? 15. Describe a graph that displays a relationship of equivalent ratios. 16. The relationship between the number of girls who are in the middle school and high school jazz bands is proportional. What is the constant of proportionality? Jazz Band Number of Girls Total Members Middle School 5 15 High School Determine the constant of proportionality for the graph. y x

6 18. An engineer filled a tank with water and made a graph of the number of gallons of water in the tank after a given period of time. 40 y Write a rate that is equal to the equivalent ratios of points on this graph. Gallons of Water x Time in Minutes 19. Bottled apple juice is sold in 3 different sizes. Which is the best buy? 5 ounce for $ ounce for $ ounce for $ What is the unknown quantity? 3 feet =? 1 yard 6 yards 21. An automatic dialing system can make 15 telephone calls in one minute. To the nearest minute, how long will it take the system to make 250 calls.

7 22. How would your describe the point (2, 80) on the graph? y 120 Distance (Miles) Time (Hours) x 23. The graph show that the amount of water in a person's body varies directly with the person's mass. What is the ratio of the vertical distance to the horizontal distance on the graph between the points (20, 10) and (40, 20)? y x 24. The weight of a person on Venus varies directly with his or her weight on Earth. A person weighing 88 pounds on Earth weighs 72 pounds on Venus. How much would a person weighing 132 pounds on Earth weigh on Venus? 25. If two quantities vary directly, what must be true of a graph showing the relationship between them. 26. A person who weighs 124 pounds on Earth would weigh 42 pounds on Mars. If m represents a person's weight, in pounds, on Mars, how could you write a proportion to determine the weight on Mars of a person who weighs 155 pounds on Earth?

8 Study notes for tomorrow's Benchmark test. Have a couple pencils and make sure you have your calculator, if you don't have one in the class tub.

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