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
4) √15x – 54 = x
7) √27 – 9x - 5 = x + 10
2) √6x + 28 - 7 = 9
5) √14x - 5 - 2 = x
8) √13x + 10 - x = 4
Part II: Factoring (case I and case II)
10) x2 - 17x + 72
11) x2 + 6x - 72
2
13) x - 17x + 52
14) x2 - 22x + 121
16) x2 + 6x - 7
17) x2 - 11x - 42
2
19) x + 2x -35
20) x2 - 5x - 66
22) 14x2 + 38x – 12
23) 12x2 - 7x + 1
3) 6√7x - 5 - 42 = 18
6) √10x - 14 - x = 1
9) √9x + 25 - 4 = x - 2
12) x2 + 5x - 66
15) x2 - 16
18) x2 + 24x + 144
21) x2 - 14x + 48
24) 36x2 - 48x + 15
Part III: Solve for x (by getting the x by itself, or by factoring or the quadratic formula):
25) 6(3x - 5) = 8(4x + 5)
27) 18 - ¾x = 6
29) 3x2 + 96 = 36x
31) 6x + 7 = 2x2
26) 3(4x - 7) - 5(6x - 3) = 57
28) x2 - 8x - 33 = 0
30) 3x2 - 8x = 1
32) 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) √x7
45) √98x15y5
42) √x7y12
46) √12x7y3
43) √x7y13
47) √432x5y12
44) √196x7y13
48) √225x36y16