Download Algebra 2B Final Review

Algebra 2B
16. Solve for y. 36=y-15
Final Review
17. Solve for x. x+8=15
Name_______________________
18. Solve for y. y+7=12
1. Find the value of the variable expression if
x=4 and y=2
19. Solve for x. x =2
4
20. Solve for y. 3y=6
a. x+2
b. 3x
c. 2x+y
2. Find the value of the expression. (8+6)÷(7-5)
3. Simplify. 6x+2x
21. Solve for x. 4x+7=11
22. Solve for y. 2y-3=3
23. Solve for n. 7n+2+3n=12
24. Solve for x. 32=8x+4-4x
4. Simplify. 6x+2y-2x+3
25. Joe is 2 years older than Matt. Let x= Matt’s
age, then ______= Joe’s age
5. Use properties of addition to simplify.
26. Solve for a. 7a-3=3a+5
a. 26+5+15
27. Solve for y. 4(y-1)=2y+6
b. 30+5a+a+1
28. Compare using < or >.
c. 20+6x-4-2x
a. -6___-4
6. Simplify. y·y·y·y
b. -3___2
7. Simplify. 3·2·a·a·b
c. 0___-4
8. Simplify. (2a)(4b)
d. 5___-1
9. Use the distributive property and simplify.
5(3x+5)-7x-2
29. Solve and graph. X-5=2
10. Simplify. 4(x+2)-8
11. Simplify. 5 · x
5
12. Tell which number is the solution to the
equation. 5(r+2)=30 3 or 4 ?
30. Graph the solution. X>3
31.Find the sum.
a. -2+(-3)
b. 6+4
c. -7+5
13. Which number makes the statement true?
S>13 9, 11, 13, 15 ?
32. a. What is the opposite of 5?
14. Compare using <, >, =
b. What is the opposite of -5?
(24÷8) · 8_____ 33
33. Subtract.
15. Solve for x. x-5=11
a. -6-2
b. -2-(-5)
c. ax=y
c. 1-9
44. Solve for t. P= r+t
34. Simplify. -6x+3x-2x
45. Add.
35. Simplify. –x2+2x-4x
a. (2x+4)+(3x-1)
36. Multiply.
b. (x2+3xy)+(4x2-xy)
a. (-5)(-8)
46. Subtract.
b. 6(-2)
a. (2a-4)-(3a+2)
c. 3(4)
b. (2x2+3x-y2)-(x2-3x+y2)
37. Simplify.
c. (x2-3y)-(x2-6y)
a. (-3)2
47. Multiply.
b. –(5)2
a. x3·x4
c. –(-2)3
b. 2x2·3x5
38. Multiply.
c. (-x3)(-3x4y)(2y3)
a. (3a)(-2)
48. Simplify.
b. (-5x)(-4)
a. (x5)2
39. Simplify.
b. (3x3)3
a. –(3x-8)
c. (x2y)2
b. 2x-(x+3)
49. Multiply.
40. Divide.
a. 2(x+3)
a. 6÷-3
b. 3x(x+4)
b. -18
2
c. -15
-5
c. -4x2(6-x)
41. Solve for x. -2x+6x=12
42. Solve for x. 6x+4=4x
43. Solve for x.
a. 5x=20
b. 5x=y
50. Solve for x. –(x+3)+2(x+7)=0
51. Multiply. (x+2)(x+7)
52. Multiply. (x2-3x+1)(x+2)
53. Multiply.
a. (x+2)(x-3)
b. (3x+1)(2x-7)
c. (x-6)(x-5)
54. Express as a trinomial.
a. (x+3)2
b. (3x+5)2
Solve for x
71. x(2x+1)(x-2)=0
72. x2-6x=16
c. (x-7)2
d. 3(x+2)2
a. x3
b. 9x5
x2
3x
2 2
56. Simplify. 13x y - 8x4y3
xy
2x3y2
57. Divide.
a. 3x+6
3
b. 9x2y3 + 6xy + 12x4y2
3xy
58. Find the GCF of each pair of numbers.
Simplify
73.
55. Divide.
a. 12, 15
74.
75. Find both real roots of x2=144
76. Find both real roots of 16x2=25
Simplify
77.
b. 42, 48
59. Find the greatest common monomial factor
of 3x2y, 6x3y2
78.
60. Factor the polynomial. 7x2y4+28x4y-35xy
61. Factor. x2+16x+63
62. Factor. x2+8x+15
79.
63. Factor. x2-10x+24
64. Factor. x2-21x+20
80.
•
81. (2
)2
65. Factor. x2+6x+9
66. Factor. x2+4x+4
67. Factor. x2+6x-16
68. Factor. x2-5x-24
82.
69. Multiply. (3x+4)(3x-4)
70. Factor
83.
-
a. x2-36
b. x2-81
84.
(
+
)
85.
-2
100. Write 0.5 as a fraction
Simplify
86.
+
87.
-
101.
102. (3i)2
103.
88.
-x
89. (3+
) (3-
90. (2
•
104.
-
)
)(
+3
)
Solve
105. x2+144=0
Simplify
106. (9+2i) + (1-7i)
91.
107. 3(-2+i) – 4(3-2i)
92.
108. (-2+5i)(1-3i)
)-4
109. (2-4i)2
94.
=5
Simplify
110. 272/3
95.
+5 = 3
111. 9-3/2
93. (
Solve
96.
-1 = x
97. Write
as a decimal
98. Write
as a decimal
99. Write 0.625 as a fraction