Study Guide for Test 6
Name: ______________________________________ Date: __________________ Period _______
9. In the problem 49 ,
a. What is 49 called?
b. What is the index?
1. Simplify:
-4- 11i
-7 - 2i
c. Simplify: (625x14)1/2
2.
a.
Simplify
(-3 - 3i) - (4 - 7i)
b.
(11 - 21i) +(-16 - i)
10. a18
. a. a
6
3. a. What is the product of (5 – 2i) and
its conjugate? Show the problem.
b. What is the difference of (9 - 8i)and
its conjugate?
4.
Rewrite in radical form:
32/5
5. Rewrite in exponential form: 9
6. Simplify:
i301
7. Simplify: - i111
8. In the complex number -3 – 2i ,
identify the two parts:
Real:
Imaginary:
c9
11.
c
12. Simplify :
(f3)10
13. Simplify:
(2x4)3
24
14. (x - 10)2
15. (x – 4)(x+ 4)
16. Simplify: Show work in vertical
format:
a.
(5x2 + 2x – 3) – (4x2+ x- 1)
b.
(x2 + 8x – 9) + (-2x2+ 9x- 7)
Study Guide for Test 6
24. Rewrite in radical form
17.
√ -90
d9/7
18. Find the absolute value
l3- 4il
25. Rewrite in exponential form
(3√ 27x )5
19. Find the area of a rectangle whose
length is 10x + 1 and width is 2x - 6
(Draw picture and label sides. Show
work.)
20. Find the perimeter of a rectangle
whose length is 2x – 4 and width is
6x+5 (Draw picture and label sides.
Show work.)
26. a. Classify this polynomial by degree
and term: -7x - 6
b.
Name the leading coefficient in the
problem #26a.
c.
Classify this problem by degree and
term
7x4y2-3x2y+2xy
d. Classify this problem by degree and
term:
-2a6
21. Simplify:
321/5
27.
Rewrite in exponential form and
simplify
5
√64x5/2
22. Simplify:
643/2
28. Simplify
8x2/3 3x2/7 4x3/4
23. Rewrite in exponential form
29. Simplify
7√
j
√45 + √90
Study Guide for Test 6
30. a. Write - 4x3 + 8x2 in standard form
and b. classify by degree & term
31. Find the area of this triangle
6x - 2
4x + 10
32. Simplify
(128x16y20)3/4
33.
A. What is the
standard form of a
quadratic expression?
b. What is the standard form
of a quadratic equation?
34.
From question #33,
what does the labels a, b,
and c stand for?
Study Guide for Test 6
42. Factor
x2 -14x +24
43. Factor
2n2+10n+8
35. Factor:
x2-144
44. Factor
y2-121
36. Factor
x2 -13x+22
37. Factor
x2 +7x - 30
45. Factor
x2 +12x +9
46.
38. Factor
x2+12x+36
Factor
9x +15y
47. Factor
39. Factor
3x2-24x+36
2x2 + 11x +5
48. Factor
40. Factor
4x2-15x+9
41. Factor
m2 +14m +49
3x2 + 16x + 21
49. Factor
6x2 -18x -24
Study Guide for Test 6
50. The area of a rectangle is
(3x2 + 5x -28) cm2. The width
Is (x+4) cm. What is the length of the
rectangle?
51. Use the quadratic formula to solve.
2x2 – 5x + 3 = 0
54. Find the x-intercepts of
3x2 +8x -16=0
using
A)ac method
B) quadratic formula
52. Solve using the quadratic formula
x2-4x-14=-2
C) find the discriminant and
describe the solutions
53. Find the discriminant and
describe the types of solutions
6p2-2p-3=0
55. What are all the terms (names) for
the solutions of a quadratic
equation?