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Algebra 2/Trigonometry Unit 2 Quiz REVIEW Name_________________________ Date__________________________ 1. Isabel was doing her homework when she got to a problem that only had the numbers 1, 4,... written down. She doesn’t know if the sequence is arithmetic or geometric. a. Find the next 3 terms either way: arithmetic:_________________________ geometric:__________________________ b. She knows that 37 is an output. Does this help her to prove that it COULD or COULDN’T be an arithmetic sequence? 2. You buy a “dud” superball and you decide to test its rebound capabilities. From your experiment you have found if you drop the ball from a height of 100 centimeters the first bounce average is 20 cm. Using this rebound ratio, predict the height of the bounce if you dropped the ball from a height of 4 feet. Show your work. 3. Solve the system of equations algebraically. Show all of your work leading to the solution and explain how your solution would relate to the graph of the system. 5x – y = 17 2x + 2y = 2 4. An arithmetic sequence has an initial value of 5 and t(6) = -7. Find the equation and write it recursively. 5. Using the table below : n t(n) 2 4.4 a) Graph the data. Label your axes. 5 6.5 9 9.3 20 17 50 38 73 54.1 b)Find the arithmetic sequence that this data represents. c) Find t(0). 6. Find the domain and range for the following function. 5 D:_________________ 5 R:_________________ 7. What is the equation for the graph?
