Algebra 2A Final Review
17. Find the slope of the line x=3y+2
Follow the directions for each question:
18. Write the equation of the line in
slope-intercept form with slope -2 and
passing through point (3, -1)
1. Simplify. 64÷42+3(32-1)
2. Evaluate if x=3, y=2, and z=5
z2-(x2-y2)
3y2z
Simplify.
3. –(-6x+4)
19. State the slope and y-intercept of
the line 4=3-x
20. Find the equation of the line in
standard form containing points (3, -2)
and (-2, 3)
4. -1/2(6x2-4x+2)
21. Graph 2x-y=5
5. –c(d+5)+6(2-cd)
6. -24[-18÷(-2/3)]
(-18)(-2/3)
Solve for x.
7. 3(x-2)-x = 2(2x+1)
22. Solve the given system of equations;
6x+5y=-2
2x+3y=6
23. Graph y > 2x-3
24. Graph the system of inequalities
y < 2, y ≥ 3x+3
8. 3x-1 < -4
9. -9 < 2x-5 < -1
25. Find the range of the given function
f(x)=x2-2x+7 with Domain= {-2,-1,0,1,2}
10. 2x-1 ≤ 5 or 3x-5 > 10
12. │x-3/2 │ ≤ 5/2
26. Give the domain of the function
f(x)= 1
x+3
27. Find the linear function f if f(0)=1 and
f(3)=7
13. │2x+5 │ ≥ 3
28. Add (3x2-2xy+4y2) + (2x2+3y2)
14. Complete each ordered pair to form
a solution of: ½ x-2y=1, (1, ), (6, ),
( ,0)
29. Subtract (3x2-2xy+4y2) - (2x2+3y2)
11.
|
𝑥−2
4
|≤
1
2
15. Find the value of k so that the
ordered pair satisfies the equation 3x-ky
= 4, (2,-1)
Simplify
30. (-2x2)(xy3)(-x2y2)
31. (2x2y3)3 (3xy3)2
32. 2x2y3(5xy+7xy3)
16. Find the slope of the line containing
3,
1
( 2 -3) and (2, -7)
Multiply.
33. (3x+1)(2x-5)
34.
(3x+10)2
52. On leg of a right triangle is 1m more
than the other leg and the hypotenuse is
5 m. What are the lengths of the legs?
35. (2x+1)(x2-3x+2)
36. Find the prime factorization of 36
Find the solution
53. (x-2)(x-5) < 0
37. Find the prime factorization of 84
54. x2-16 > 0
38. Find the Greatest Common Factor of
36 and 84
55. x2-3x > 10
39. Find the Least Common Multiple of
36 and 84
40. Find the Greatest Common Factor of
110h3k2r and -88h2k5r2
41. Find the Least Common Multiple of
110h3k2r and -88h2k5r2
Factor
42. 6x2y2+8x3y
43. 36x2-49y2
44. x2+12x+20
45. 6x2-7xy-3y2
Solve for x
46. x2-6x=16
47. 6(x+12)=x2
48.
x4-2x2+1=0
Simplify
56. -15x5y3
-25x4y4
57. (xyz2)2
(x2yz)2
𝑐3
58. (𝑑4 )2 (
−𝑐𝑑 3
)
ℎ
Simplify. Leave no negative or zero
exponents.
59. (-3-1)-2
60. x-2y-3
x-1y0
𝑥 −2
61.( 𝑦 2 )-1 (
𝑥 −2 2
)
𝑦
Simplify
62. (5)-4
63. (12÷4-1)-3
49. x(2x+1)(x-2)=0
Express in scientific notation
64. 642,000
50. The sum of a number and its square
is 72. Find all such numbers.
65. 0.00012
51. The area of a right triangle is 44 m2.
Find the lengths of the legs if one leg is
3 m longer than the other leg.
Express in standard form
66. 8 x 10-5
67. 3.21 x 103
81. 6x2-x-1 = 2
3(x2+1)
Simplify
68. 5x2-15x
10x2
82. 3 - 1 = 1
x+1 x-2 x2-x-2
69. x2+2x-8
(2-x)(4+x)
70. Find the domain of the function
f(x)=2x2+3x-9
x3-4x
Simplify
83. √144
3
84. √−27
71. Find the zeros of the function
f(x)=2x2+3x-9
x3-4x
85. Find both real roots of x2=144
Simplify
72. -10 ÷ 15
21 28
Simplify
73.
x2-4
86. Find both real roots of 16x2=25
87. √
4
9
2x2-3x-2
÷
2x2-5x+2 4x2-1
74. 1 - 3 + 5
2 7 14
75.
1 + 2
2xy4 x3y2
76.
1 1
x2+2x+1 x2-1
77. 1 - 1
x2 y2
1 + 2 + 1
x2 xy y2
Solve
78. x+2 = 2x-2
3
5
79. 3x + 1 > x-1
4
2
88. √
89. √
16
32
9
90. √6 • √
2
3
91. (2√7)2
92. √
9
2
93. √12 - √27
94. √3 ( 5√3 + √6 )
3
80. 2x-1 = x+2 + 1
6
4
3
3
3
95. √24 - 2 √54
96.
3
27
4
4
√ + √
113. √11 • √−11
114.
97. √6 - √24
√2
1
√−5
Solve
115. x2+144=0
98. √8𝑥 3 - x√18𝑥
99. (3+ √7) (3- √7)
100. (2√3 - √7 )( √3 + 3√7 )
101.
4−√3
119. (2-4i)2
√5+1
√5−3
Solve by factoring, completing the
square or using the quadratic formula
120. x2+6x-2=0
103. (√5 )-4
121. 3x2+5x+2=0
Solve
104. √𝑥 = 5
122. 3x2+x-1=0
3
105. √𝑥 +5 = 3
106. √2𝑥 + 5 -1 = x
107. Write
108. Write
4
9
3
8
as a decimal
as a decimal
109. Write 0.625 as a fraction
̅ as a fraction
110. Write 0.52
Simplify
111. √−64
112. (3i)2
117. 3(-2+i) – 4(3-2i)
118. (-2+5i)(1-3i)
1
102.
Simplify
116. (9+2i) + (1-7i)
123. 5x2+3x-2=0
Simplify
124. 272/3
125. 9-3/2
Solve for x
126. log2x=-3
127. logx4=
128. log5
2
3
1
125
=x