Review for Beginning Trigonometry
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For each expression below, factor COMPLETLEY
1. 2x3 – 6x
2. 4x2- 8x – 12
3. (2x3 – 3) 2
4. 9x2- 12x + 4
5. 9x2 -3x – 2
6. 2x3- x2- 6x + 3
7. 5x2 + 26x + 5
8. 6x2- 54
Solve for the zeros using factoring
9. x2+ 6x – 16 = 0
10. 2x2- 9x + 7= 0
11. 4x2- 9 = 0
Solve for the zeros using the quadratic formula
12. 2x2+ 6x + 7 = 0
13. 0 = 3x – 2x2 + 2
14. x2- 4x + 20 = 0
Simplify each radical completely
15. √108
16. 4√45
17. 3√12 + 3√27
18. 2√50 + 12√8
Rationalize the denominator
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Simplify each expression
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For EACH set of ordered pairs, find the slope AND the distance
31. (1,4) and (8,4) 32. (-2,3) and ( 4,-7) 33.(2, 5) and (3,6) 34. (-2,-5) and (-2,9)
Describe the transformations applied to y = x2 for the following functions
35. y= 2x2
36. y = -x2
37. y= (x- 1) 2 38. y= x2- 3
39. y= 3 (x-2)2+ 1
Find the area and the circumference for the following circles. Give both the exact
and approximate answer to the nearest tenth.
40. Radius = 1 cm
41. Diameter = 4 inches
42. Radius = 2.5 mm
Using the Pythagorean Theorem, find the missing side.
c
a
b
43. a= 7and b= 24
46 a= 15 and b = 8
44. b = 13 and c = 35 45. a= 54 and c =100
Find all the sides and angles of the following triangles:
47.
48.
45
2
1
0
1
30
49.
50.
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45 0
10
5 √3
15
60 0