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CHAPTER Chapter Test Review 11 1. Find the next three terms in this sequence: 6, 24, 96, 384, ... ________________________________________ 2. The first term of a geometric sequence is 10 and the common ratio is 0.5. What is the 5th term of the sequence? ________________________________________ 1 1 3. Graph y . 2 5 x x 6. $1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the balance after 5 years. ________________________________________ ________________________________________ 7. A pond has 150 fish, and the population decreases by 8% each day. Find the population after 3 weeks. y ________________________________________ 8. Determine which kind of model—linear, quadratic, exponential, or square-root— best describes this data set. {(1, 15), (0, 12), (1, 9.6), (2, 7.68)} 4. When a certain ball is dropped, the function f(x) 2.5(0.85)x models its height in feet after each bounce, where x is the bounce number. To the nearest hundredth, what is the height after the 5th bounce? ________________________________________ 5. Does this set of ordered pairs satisfy an exponential function? Explain. ________________________________________ 9. Find the domain of y 2 5x 4. {(2, 160), (1, 40), (0, 10), (1, 2.5)} ________________________________________ ________________________________________ ________________________________________ ________________________________________ CHAPTER Chapter Test Review 11 10. Describe how to use translations of the graph of f(x) of g(x) 14. Subtract 500 20. x to create the graph x 3 7. ________________________________________ ________________________________________ 15. Add 28a 98a 3 2a. ________________________________________ ________________________________________ 468 11. Simplify . 100 ________________________________________ 12. A 15-foot ladder leans against a wall with its base 5 feet from the wall. How high up on the wall does the ladder reach? Give your answer as a radical expression in simplest form. ________________________________________ 16. Multiply 5x( 30x 10) and write the product in simplest form. ________________________________________ 17. Multiply (6 2)2 and write the product in simplest form. ________________________________________ 18. Simplify the quotient 45 . 5 a ________________________________________ 19. Solve ________________________________________ 13. Simplify 72x3 y 4 . The variables represent nonnegative numbers. ________________________________________ 2x 1 8 0. ________________________________________ 20. Solve 110 x x. Name _______________________________________ Date __________________ Class __________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 3 Holt McDougal Algebra 1