test3prac

# test3prac - symbolically : 2 6 11 7 x x + = 8. Simplify the...

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BERMAN NAME ____________________ MAT1033C – Intermediate Algebra – Test 3 – Chapters 5 & 6 Part I : No calculators may be used – Each exercise worth six (6) points unless otherwise noted. 1. Factor each expression completely. (4 points each) A) 2 2 36 49 y x - B) 3 27 1 m - C) 2 9 60 100 x x - + D) 2 6 15 x x + - E) 2 6 30 36 x x + - 2. The graph of the polynomial function ( 29 3 2 0.05 0.35 1.4 8 p x x x x = - - + + is shown below in a standard window. Use the graph to solve the following equation: SOLVE: 3 2 0.05 0.35 1.4 8 0 x x x - - + + =

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3. Given the rational function: ( 29 2 15 5 6 16 x f x x x - = + - Determine if the graph of the rational function will contain any vertical asymptotes. If any vertical asymptotes exist, state the equations of the asymptotes. 4. Divide. 3 2 2 6 12 33 15 3 x x x x + - + 5. Simplify: 2 2 2 2 2 5 12 9 20 8 15 2 11 12 x x x x x x x x - - + + + + + + 6. Solve: 3 7 x x x = -
BERMAN NAME ____________________ MAT1033C – Intermediate Algebra – Test 3 – Chapters 5 & 6 Part II : Calculators may be used – Each exercise worth six (6) points unless otherwise noted. 7. Solve the equation

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Unformatted text preview: symbolically : 2 6 11 7 x x + = 8. Simplify the expression: 2 2 2 4 3 9 x x x x + + +-9. A small pump can empty a pool in 25 hours. A larger pump can empty the pool in 20 hours. If both pumps are used, how long will it take to empty the pool? 10. Solve symbolically: 2 1 1 1 1 15 x x-= +-11. Simplify the complex fraction: 1 3 2 2 1 4 3 2 x x x + +--+ 12. At 5:30 pm a 6 foot tall woman casts a 10 foot shadow. At the same time, a nearby utility pole casts a 53 foot shadow. Determine, to the nearest foot, the height of the pole. 13. The height in feet reached by a water rocket after t seconds in given by the polynomial function: ( 29 2 16 54 7 h t t t = -+ + Using symbolic methods: A) Determine the height of the rocket after 1.25 seconds. B) Determine when the height of the rocket is 25 ft. C) Determine when the rocket hits the ground....
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## This note was uploaded on 10/18/2011 for the course MAT 1033 taught by Professor Brown during the Spring '10 term at Valencia.

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test3prac - symbolically : 2 6 11 7 x x + = 8. Simplify the...

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