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Grade 8 Math Benchmark 3: Growing, Growing, Growing Written Test Part 1: Multiple Choice (2 points each) 48 4-4 1. Simplify: A 4-32 B 4-2 C 44 D 412 2. Which expression is equivalent to 47 x 4-5? A 412 B 42 C 4-2 D 4-35 3. Which number goes in the numerator to make the equation true? ? = 23 2-6 A 2-2 B 2-3 C 2-9 D 2-18 4. A lab has two bacteria cultures. Culture A contains 8 x 104 bacteria, and culture B contains 4 x 106 bacteria. How do the two cultures compare in size? A Culture A contains twice as many bacteria as culture B 1 B Culture A contains as many bacteria as culture B. 2 1 C Culture A contains as many bacteria as culture B. 25 1 D Culture A contains as many bacteria as culture B. 50 5. The speed of light in a vacuum is 299,792,458 meters per second. Which number, written in scientific notation, is the best approximation of the speed of light? A 0.3 x 107 meters per second C 3.0 x 107 meters per second B 0.3 x 108 meters per second D 3.0 x 108 meters per second 6. A micron is approximately 4 x 10-5 inch. The diameter of the circular hole made by a pin in a sheet of paper is 2,000 microns. Which amount is closest to the diameter of the circular hole? A 2 x 10-2 inch B 8 x 10-2 inch C 2 x 10-3 inch D 8 x 10-3 inch 7. At a given time, Saturn was 9.1 x 108 miles from the Sun and Earth was 9.3 x 107miles from the Sun. By what distance is one planet closer to the Sun than the other planet? A 2 x 101 B 2x1015 8. Evaluate (2.4 x 104)(4.5 x 103) A 1.08 x 107 B 1.08 x 108 9. Determine the product. A 1.7x 107 C 8.17 x 107 C 1.08 x 1012 D 8.17 x 108 D 1.08 x 1013 800.5 x (2 x 106) B 1.601 x 107 C 1.7x109 D 1.601 x 109 10. The combined volume of all the tanks at an aquarium is 1.25 x 106 gallons. The aquarium plans to install a new dolphin tank with a volume of 250,000 gallons. What will be the total volume of all of the tanks at the aquarium after the new dolphin tank is installed? A 1.5x105 B 3.75 x 1 0 5 C 1.5 x 106 D 3.75 x 106 Part 2: Written Response 1. (4 points) Which expression is not equivalent to 6 3 66 A 1 62 B 6-3 C 1 216 Explain why each one of the other possible answers is wrong. Correct Answer ______ Explanation 1: Explanation 2: Explanation 3: D 1 63 2. (6 points) Ms Harris is a contestant on a quiz show. Every time she answers a question correctly, her winnings double. If she answers the first question correctly, she wins $1000. If she answers the second question correctly, she wins $2000. For the third correct answer she wins $4000 and so on. a) Complete the table to show Ms Harris’s winnings after each correct answer Correct Answers Winnings 1 2 3 4 5 6 7 b) On the grid above, graph the data from the table (correct answers, winnings) c) How many questions must Ms Harris answer correctly to win $256,000? Answer: _____________ Show your work: 3. (4 points) In answering the following, you should give at least two reasons for each part. a) Explain how linear and exponential functions are different: b) Explain how linear and exponential functions are the same: