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MATH D E3

# MATH D E3 - Intermediate Algebra Test 3 Erika Noffsinger...

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Unformatted text preview: Intermediate Algebra / Test 3 Erika Noffsinger / Fall 2009 Name:_____________________________________________ Points Earned Points Possible 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Extra Credit Total:________________________________________(100 points) 8 Points (4 each) 6 Points 5 Points 6 Points 8 Points (4 each) 22 Points (4,2,3,2,2,3,2,4) 6 Points 12 Points (4 each) 20 Points (4 each) 7 Points (3, 4 each) 1. Solve the following equations: a) (x – 4)2 – 3 = 7 b) (x – 2)(x – 5) = 1 2. Use completing the square method to solve x2 + 18x – 7 = 2 3. Find a quadratic equation that has x = 1 + 3i and x = 1 – 3i as solutions. Put the equation in the form ax2+ bx + c = 0. 4. Solve 5. Let g(x) = 6√ 8 0 a) Find g (x). b) Check your work on part a) by showing g ‐ 1(g(x)) = x ‐1 6. For f(x) = 2x2 ‐ 12x + 10 answer the following: a) Put f(x) in vertex form. b) What is the vertex of f(x)? Is it a maximum or minimum point? Why? c) Find the x – intercept(s) if they exist, if they don’t exist explain why. d) What is the axis of symmetry? e) What is the y – intercept? f) g) What is the range of f(x)? h) When is f(x) >0? Write your answer in interval notation. Graph f(x). 7. Solve the following inequality and write your solution in interval notation. 1 x 0 x – x 12 2 8. Solve the following exponential equations. a) 2 x –5 = b) 7 = 27x‐1 c) e 2x = 1 2 x 1 1 8 9. Solve the following logs: a) – 3 = log 2 x b) y = log9 c) log x 64 = 3 d) log(x) ‐ log(x+2) = 1 e) log(x+2) + log(x‐1) = 1 1 81 10. After x years, the value y of a truck that cost \$32,000 new is given by y = 32,000(0.8)x a) What is the value of the truck after 2 years? b) How many years will it take for the truck to depreciate to a value of \$16,000? EXTRA CREDIT: Solve abkx ‐ c = d for x. ...
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