Name (print) Section Signature PID Instructions: Please check to make sure your exam has all 8 pages (including cover) before you begin. Please read the following instructions carefully. 1. DO NOT OPEN THE EXAM until you are told to do so. You will have exactly 50 minutes from this time to finish the test. You will need a pen or pencil, one calculator, and this booklet for the exam. Remove everything else from your desk. Calculators may not be shared.. Turn off cell phones, ipods, and all other electronic devices. Place all of these devices in your backpack. You may not use any electronic device during the exam other than a calculator.. Calculators that CANNOT be used: TI89, TI-NSPIRE, Voyage 00, TI9, TI9+, HP9G, HP9G+, HP50G, Casio algefx.0, algefx.0pls. The exam consists of pages with problems numbered 1-1. Some of the questions may have multiple parts. Request a new copy of the exam if any of the pages are missing or hard to read. 5. The instructor and/or proctors cannot answer questions about the exam problems or the use of calculators. 6. Please check the chalkboard or overhead projector for possible corrections to this exam.. There is no partial credit on Multiple Choice questions. 8. For free-response questions, you must show all your work or credit will not be given. Be sure to follow the directions for each problem. 9. If you need additional space, use the back of the exam pages. 10. Unless specified otherwise, calculator approximations must be rounded to 5 decimal places. Page 1 of 8
1. Solve the following equation algebraically. Write your answers as exact values, not decimal approximations. Show all your work. x 9x 0. Multiply. Simplify your answer as much as possible. Show all your work. 5 5 Page of 8
. Given the graph below: a. Find the axis of symmetry b. Find the vertex. c. Find the x-intercept(s). If there is more than one x-intercept, separate them with commas. If there are no x-intercepts write none exist.. Find the x-intercept(s) and the coordinates of the vertex for the parabola y x 8x 16. Show all your work. If there is more than one x-intercept, separate them with commas. x-intercepts: Vertex: Page of 8
5. A model rocket is launched with an initial upward velocity of 5 m/s. The rocket's height h (in feet) after t seconds is given by the following: h 5t 5t.. a) Find ALL values of t for which the rocket's height is 6 meters. Round your answer(s) to the nearest hundredth. Show all your work b) What is the maximum height the rocket will reach? Answer(s) 6. Solve algebraically. Show all your work. x x 19 Answer Page of 8
. Simplify as much as possible. Assume that all variables represent positive real numbers. Show all your intermediate steps. 6x 5xy y 5x 8. Write the following expression in simplified radical form. Assume all variables are positive real numbers. Show all your intermediate steps. 5 1 x u x u 9. Simplify the expression. Write your answer using only positive exponents. Assume all variables are positive real numbers. Do not leave negative exponents in your answer. Show all your intermediate steps. y y 1 y 5 Page 5 of 8
Problems #8-1 are multiple choice and worth 5 points each: 10. Which of the following is equivalent to? (A) (B) (C) (D) 1 11. Which of the following is equivalent to ( - 5)? (A) 9 (B) 10 9 1 (C) 10 1 10 (D) 10 1. Which of the following fills the blank to make the expression x +1x + a perfect square? (A) 196 (B) 9 (C) -9 (D) 1. Which of the following is the correct simplified form of 15 x u 10? 5 (A) 5xu x u (B) 5x u 5 5x (C) 5x u 5 x (D) 5 xu x u 1. Give the number of real solutions of the quadratic equation 5x 6x 0. (A) (B) -96 (C) (D) 1 (E) 0 Page 6 of 8
15. Use the Pythagorean Theorem to find length x of the following right triangle. Round your answer to 1 decimal place. (A) 0.0 (B) 99.0 (C) 1. (D).0 16. What is the domain of the function f ( x) x 8? (A) x (B) x (C) x (D) x 1. Which of the following is the list of solutions of the equation x = 8 in simplified form? (A), - (B),- (C) (D) 1, -1 Page of 8
18. Rationalize the denominator of 5-5 -1. Which of the following is the simplified form? (A) -1 (B) 1-5 (C) 1 (D) - 5 5 19. Which of the following is equivalent to ( ) x y -1/? (A) -81x 1 y 8 (B) - x y (C) 1 x y (D) - x 1 y 8 0. The cost C (in dollars) of manufacturing x radios at Jim s Stereo World is given by the function C ( x) 0.x 08 x,199. What is the minimum cost of manufacturing wheels? (A) $60 (B) $86,9 (C) $5159 (D) $50 Page 8 of 8