Unit 3 QUADRATICS . Expand and simplify a) (2x+8)(x-9) b ) - 3(x + 2) 2 - 5 9. Factor a) x2 - 16 b ) x2 - 9x +18 c) 3x2 -9x- 30 10. Graph y = -3(x+ 2)2 +5 11. A ball is shot from the top of a building into the air with a speed of 130 m/s. Its height h, in metres, after + seconds is modeled by the relation h = -5t2 + 10t +40. a) What was the initial height of the projectile? b) After how many seconds does the ball hit the ground? c) How long does it take for the ball to reach the maximum height? d) What is the maximum height of the ball above the ground? Unit 4 EXPONENTS 12. Graph the functions on the grid provided. a ) y = 2(3) * b) y = (3) -6 -4 -2 2 6 8 X 2 13. Evaluate the following expressions, simplifying to a single power first. No Decimals. Make all exponents positive 95 a. (- 7)5 x (- 7)-5 b. C. (5-2 ) 4 973C EXAM REVIEW Unit 1 TRIGONOMETRY 1. The angle of elevation a guy wire from the ground to the top of a post is 24. If the top of the post is 12m above the ground, find the length of the guy wire. Include a picture. 2. The Bermuda Triangle is an area off the coast of Miami, extending to the islands of Bermuda and Puerto Rico. The distance from Miami to Bermuda is 1680 km, from Bermuda to Puerto Rico is 1760 km, and from Puerto Rico to Miami is 1600 km. Find the measures of the angles of this triangle 3. Find x 7 370 280 12 4. Michael and Gaby are standing 20 m apart, looking up at a hot air balloon. If the angle of elevation from Michael to the balloon is 37 and from Gaby to the balloon is 440 what is the altitude of the balloon? Unit 2 STATS & PROBABILITY 5. A Euchre deck is made of 9s, 10s, aces, and face cards. What is the theoretical probability that a card randomly selected from a Euchre deck will be: a) a face card? b) a red ace? c) a 9 or a 10? d) a 7 or a 2? 6. A survey of animal populations in Area 25 resulted in the following data: Fox 25%% Deer 30% Wolf 35% and Turkey10% a) If there were 1200 animals counted in total, how many deer were there? b) Assuming that the percentage of animals in another area is the same, and there are 45 turkeys, how many foxes would you expect? 7. Below is a table summarizing the points scored in a game of guestures. Ms Gilby 8 3 3 5 3 4 7 4 3 4 5 Ms Thompson 6 5 3 4 5 2 1 4 6 3 2 Complete the frequency table below, and plot your results in bar graph form. Outcome Frequency Gilby wins Thompson wins tie