Name: Date: H10: June 2012 Exam Review

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1 Name: Date: H10: June 01 Exam Review Section 1: Quadratic Questions 1. A manufacturer determines that the number of drills it can sell is given b the formula., where p is the price of the drills in dollars, and D is the number of drills. a. At what price will the manufacturer sell the maximum number of drills? b. What is the maximum number of drills that can be sold?. The function models the height in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground?. A skating rink manager finds that revenue R based on an hourl fee F for skating is represented b the function R = -480F + 10F. What hourl fee will produce maximum revenues? 4. A diver is standing on a platform and jumps from the platform. The equation h = -16t + 4t + 8, where h is his height above the water, t is the time. How long will it take for him to hit the water? 5. You and a friend are hiking in the mountains. You want to climb to a ledge that is 0ft above ou. The height of the grappling hook ou throw is given b the function h = -16t - t + 5.What is the maximum height of the grappling hook? 6. Simplif using the imaginar number i. 7. Simplif using the imaginar number i. Simplif the expression Solve the equation Section : Factoring Questions Factor each expression: 1. 15x x + 5x 5x. 4x x x + 16x x 4x 7. 5x 0x x 5x 5x 10. x + 1x x + 9x x + 9x 1. 6x + 55x x x x 4 9x x 4 + 7x x + x + xk + k

2 Section : Rational Questions Simplif the rational expression. State an restrictions on the variable. 7x 6 x x x 6x 8 4x Multipl or divide. State an restrictions on the variables. 6x 9x x 18x 81 x Add or subtract. Simplif if possible Simplif the complex fraction Solve the equation. Check the solution Michael rows downstream on a river, then returns to the starting point. He travels a total distance of 16 miles in 6.5 hours. Michaels average rowing speed in still water is 4 mph. What is the speed of the river current? (assuming the current s speed is constant) 16. Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream miles/hour faster than she rows upstream. Find Alicia s rowing rate each wa. For each rational function, state an holes, intercepts and asmptotes and then graph accuratel each, labeling the holes, intercepts and asmptotes. 17. x x 8 x x x 15 x 7

3 Section 4: Trig Questions Are the functions below periodic? If es, give the period & amplitude. If no, explain wh not x 1 Find the measure of an angle between 0º and 60º coterminal with the given angle.. 89º 4. 46º 4 *** Know the Unit Circle or how to create it *** Find the exact sine, cosine, and tangent of the following. Use reference angles or the unit circle º 7. Write the measure in radians. Express the answer in terms of. 8. 0º 9. 45º º Write the measure in degrees. Round decimal answers to the nearest hundredth. 11. radians 1. radians radians. Find the amplitude, period, and range of each function. 14. = cos ( 15. = 5 sin Describe an phase shift and vertical shift in the graph : = sin (x 6) Write an equation for a cosine graph that is reflected over the x-axis has a phase shift of units left and is translated down 15 units.

4 Section 5: Probabilit Questions 1. The probabilit of the complement of an event is less than the probabilit of the event itself. a. sometimes b. alwas c. never. You pick a number between 1 and 10. Then ou roll dice. Are the events dependent or independent? Explain.. Suppose ou roll a standard number cube once. Are rolling a 1 and rolling a 6 mutuall exclusive events? Explain. 5. This is a spinner used in a board game. What is the probabilit that the spinner will land on a multiple of and 4? 6. A bag contains 6 red marbles, 6 white marbles, and blue marbles. Find P(red or blue) Find P(Q and R): P(Q) = 0.47, P(R) = Find P(S or T ) P(S) =, P(T) = 9 9. The table shows the results of a surve of students in two math classes. Find P(more than 1 hour of TV 6th period class). Round to the nearest thousandth. Did You Watch More Than One Hour of TV Last Night? Yes No rd period class 9 6 6th period class The probabilit that a cit bus is read for service when needed is 85%. The probabilit that a cit bus is read for service and has a working radio is 69%. Find the probabilit that a bus chosen at random has a working radio given that it is read for service. Round to the nearest tenth of a percent. 11. A cell phone compan orders 50 new phones from a manufacturer. If the probabilit of a phone being defective is.1%, predict how man phones are likel to be defective. Round to the nearest whole number. 1. Each of four friends orders a sweatshirt from a catalog. There are 14 colors of sweatshirts, 6 of which are all cotton and 8 of which are a blend. Each one orders a different color (no repeats) at random. What is the probabilit that the friends order onl cotton sweatshirts? Use the Venn diagram to the right to answer each Probabilit: 1. P(English) 14. P(chemistr and not English) 15. P(Chemistr and English) 16. P(Chemistr or not English) 17. P(Chemistr or English) 18. P(not Chemistr or not English) Chemistr English 5

5 Section 6: Function Questions Answer the function questions for each rational graph: ( x x x 6) ( )( x ( x 1) 1) Function? Graph 1 Graph x-intercept: -intercept: Domain? Range? Vertical Asmptote? Holes? Horizontal Asmptote? Inverse a function?