Precalculus 1st Semester Review 2013
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1 Precalculus 1st Semester Review 2013 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which relation is a function of x? 2. Given, find. 3. Find the zero(s) of. a. -13, 9 c b. -9, 13 d To what is the graph of an odd function symmetric? a. the x-axis c. the line y = x b. the y-axis d. the origin 5. Which of the following results in the graph of being compressed horizontally by a factor of 2, expanded vertically and reflected in the y-axis? 6. Given, what translations occur in the graph of? a. left 9 units, down 5 units c. right 9 units, down 5 units b. left 5 units, up 9 units d. right 5 units, up 9 units 7. If and, find.
2 8. Find the inverse of. 9. Which is not a power function? 10. Which describes the end behavior of? 11. What is the greatest possible number of real zeros of? a. 1 c. 3 b. 2 d What is the greatest possible number of turning points of? a. 3 c. 5 b. 4 d Divide by using synthetic division. 14. Which is not a possible rational zero of? 15. What is the horizontal asymptote of? a. y = 0 c. y = 2 b. y = 1 d. y = 3
3 16. Which of the following could be the function represented by the graph? 17. Which of the following is the solution to? 18. In 2008, the deer population in a certain area was 800. The number of deer increases exponentially at a rate of 7% per year. Predict the population in a c b d Evaluate Solve. a. 5 or 5 c. 25 only b. 5 only d. 25 or Find the value of using the Change of Base Formula. a c b d Solve. a c b d Condense.
4 24. Expand. 25. Express in terms of log 3 and log BANKING How much time would it take for an investment to double at a rate of 5.2% if interest is compounded continuously? a years c years b years d years Write the letter for the correct answer in the blank at the right of each question. 27. Rewrite in radians as a multiple of. none of these 28. MACHINES There are 20 rollers under a conveyor belt, and each roller has a radius of 15 inches. The rollers turn at a rate of 40 revolutions per minute. What is the linear speed of the conveyor belt? a ft/s c. 5.2 ft/s b ft/s d ft/s 29. Let, where. Find the exact value of. 30. Let (-2, -4) be a point on the terminal side of an angle in standard position. Find the exact value of. 31. Write an equation of the tangent function with period, phase shift, and vertical shift Assuming an angle in Quadrant I, find the exact value of.
5 33. RAMP The side view of a skateboard ramp is a triangle ABC with feet. Find b. a ft c ft b ft d ft 34. In Find e. a. 8.2 c b d In Find R. a c b d Solve for all values of x. Write the letter for the correct answer in the blank at the right of each question. 37. Simplify. b. cot d. 38. If on the interval, find tan. 39. Simplify. 40. Find the exact value of. 41. Which expression is not equivalent to for all values of? 42. If on the interval, find the exact value of. b. - d.
6 43. Solve on the interval. 44. Which matrix is not in row-echelon form? 45. Solve the system of equations using Gaussian elimination. a. (2, 1, 3) c. (2, -1, 3) b. (-2, 1, 3) d. (-2, -1, -3) 46. What is the determinant of? a c. 141 b d Find AB if and. 48. Find the inverse of, if it exists. does not exist
7 49. Given and, find E. 50. FOOD On Friday, Lila raised $ by selling 20 hamburgers and 35 hot dogs. On Saturday, she raised $ by selling 15 hamburgers and 25 hot dogs. What was the selling price of one hot dog? a. $2.50 c. $3.00 b. $2.75 d. $3.25
8 Precalculus 1st Semester Review 2013 Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 2. ANS: D PTS: 1 3. ANS: A PTS: 1 4. ANS: D PTS: 1 5. ANS: D PTS: 1 6. ANS: A PTS: 1 7. ANS: D PTS: 1 8. ANS: A PTS: 1 9. ANS: A PTS: ANS: D PTS: ANS: C PTS: ANS: B PTS: ANS: D PTS: ANS: A PTS: ANS: B PTS: ANS: C PTS: ANS: D PTS: ANS: C PTS: ANS: C PTS: ANS: D PTS: ANS: B PTS: ANS: D PTS: ANS: D PTS: ANS: B PTS: ANS: C PTS: ANS: A PTS: ANS: A PTS: ANS: C PTS: ANS: A PTS: ANS: D PTS: ANS: C PTS: ANS: A PTS: ANS: D PTS: ANS: B PTS: ANS: D PTS: ANS: A PTS: ANS: A PTS: ANS: A PTS: ANS: D PTS: ANS: A PTS: ANS: D PTS: 1
9 42. ANS: C PTS: ANS: B PTS: ANS: B PTS: ANS: B PTS: ANS: C PTS: ANS: C PTS: ANS: D PTS: ANS: A PTS: ANS: A PTS: 1
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