Due: 4/12/10 in class (on stapled)-- You do not need to staple the question sheets to the LL and GP.
Part I: Radical Equations:
1) √11x + 20 = 8 2) √6x + 28 - 7 = 9 3) 6√7x - 5 - 42 = 18
4) √15x – 54 = x 5) √14x - 5 - 2 = x 6) √10x - 14 - x = 1
7) √27 – 9x - 5 = x + 10 8) √13x + 10 - x = 4 9) √9x + 25 - 4 = x - 2
Part II: Factoring (case I and case II)
10) x2 - 17x + 72 11) x2 + 6x - 72 12) x2 + 5x - 66
13) x2 - 17x + 52 14) x2 - 22x + 121 15) x2 - 16
16) x2 + 6x - 7 17) x2 - 11x - 42 18) x2 + 24x + 144
19) x2 + 2x -35 20) x2 - 5x - 66 21) x2 - 14x + 48
22) 14x2 + 38x – 1223) 12x2 - 7x + 124) 36x2 - 48x + 15
Part III: Solve for x (by getting the x byitself, or by factoring or the quadratic formula):
25) 6(3x - 5) = 8(4x + 5)26) 3(4x - 7) - 5(6x - 3) = 57
27) 18 - ¾x = 6 28) x2 - 8x - 33 = 0
29) 3x2 + 96 = 36x30) 3x2 - 8x = 1
31) 6x + 7 = 2x232) 6x2 - 5x = 4
Part IV: Imaginary Numbers
35) (7 + 3i)(11 – 6i) 36) 7i(6 – 8i) – 11(5 – 4i) 37) (12 – 7i) – (10 – 6i)
Part V: Right Triangles (Trig. and Pythagorean Theorem)
36) A bird flew 10 miles south, then 13 miles east. How far is the bird from its starting point? (Round to the nearest tenth)
37) A building’s shadow is 47 feet. If the angle of elevation is 34º, what is the building’s height?
38) A kid is sitting on the floor flying a kite. The string is 300 feet long. If the angle of elevation is 53˚, how high in the air is the kite?
39) A 16-foot ladder is resting against a house. If the base of the ladder is 9 feet away from the base of the house, how high on the wall does the ladder reach?
40) A plane takes off at the airport and travels a ground distance of 4,500 feet as it climbs to a height of 5,750 feet. What is the angle of elevation the plane took off at?
Part VI: Simplifying Radicals:
41) √x742) √x7y12 43) √x7y1344) √196x7y13
45) √98x15y5 46) √12x7y3 47) √432x5y12 48) √225x36y16