ALGEBRA 2: FINAL EXAM REVIEW
1.
Simplify:
2.
Simplify:
3.
Evaluate:
4.
Evaluate:
5.
Identify the property shown:
6.
Identify the property shown:
7.
Solve for b2: A =
8.
Solve for y:
9.
Solve & Graph:
10.
Solve & Graph:
11.
Solve & Graph:
12.
Solve & Graph:
1
(b1 + b2 )h
2
ALGEBRA 2: FINAL EXAM REVIEW
13.
Solve & Graph:
14.
Find the range of the equation y =
15.
Find the domain of the equation y =
16.
Graph the equation: 3 x ! y = 7
Domain: _____________
Range: _____________
17.
Graph the equation: y = x + 5 + 3
Domain: _____________
Range: _____________
Parent Function:________
Translation of Parent Function:___________
18.
1
+2
x+4
Domain: _____________
Range: _____________
Graph the equation: y =
Horizontal Asymptote:________
Vertical Asymptote: _________
Parent Function: ______________
Translation of the Parent Function:________
x!2 +5
2x
x!4
ALGEBRA 2: FINAL EXAM REVIEW
19.
Graph the inequality: y ! 2 x 2 ! 8 x + 6
20.
Graph the equation: y = x ! 3 + 4
21.
Write the equation of the line that passes through the point (1,-6) and is
perpendicular to the line y = 3x + 7
1
3
Domain: _____________
Range: _____________
Vertex: _______________
Parent Function: ______________
Translation of the Parent Function:________
22. Write the equation of the line that passes through the point (3,9) and is
parallel to the line y = 5x – 15
23. Write the equation of the line containing the points (-5,9) and (-4,7)
24. Find the product of the matrices:
25. Find the product of the matrices:
26.
Find the determinate:
27.
Evaluate:
ALGEBRA 2: FINAL EXAM REVIEW
28.
Find the inverse of the matrix:
29.
Find the inverse of the matrix:
30.
In how many ways can 5 runners finish a race first, second, or third?
31.
How many ways can a committee of 4 be formed from 4 people?
32.
How many different license plates are possible if three digits are followed
by three letters ?
33.
A bag of gumballs contains 8 green, 4 blue, 2 red, and 9 orange. What is the
probability of getting either a blue or green when taking one gumball at a time?
34.
Evaluate: 8 P6
35.
Evaluate: 8 C6
36.
Evaluate: 9!
37.
Find the 13th term of the arithmetic sequence -3, 1, 5…
38.
What is the rule for the nth term of the sequence: 50, 44, 38, 32,…?
39.
What is the rule for the nth term of the sequence: 81, 27, 9, 3, …?
40.
What is the common difference in the arithmetic sequence: 4, 9, 14, 19, 24, …
41.
Identify the sequence: 3, 12, 48, 192, …
42.
Identify the sequence: 1, 4, 9, 16, 25, …
43.
Rewrite as a fraction:
ALGEBRA 2: FINAL EXAM REVIEW
44.
Rewrite as a fraction:
45.
Factor:
46.
Factor:
47.
Solve the system of equations:
48.
Solve the system of equations:
49.
How many solutions does the system have:
a.
b.
' ! 2x 2
%%
!1
& 5 xy
$
""
#
!3
' x2 y $
%%
""
& 4x #
50.
Simplify:
51.
Simplify: x 2 ! xb ! x
52.
Simplify:
53.
Perform the operation:
54.
Perform the operation:
!1
ALGEBRA 2: FINAL EXAM REVIEW
Simplify the following:
55.
a. !64
e.
!1 3
b. 8
25!3 2
23
c.
f. 5 8 xy 7 ! 5 6 x 6
g.
(x
4
4
3
" x
4
5
)
!2
x12
y4
& 27 #
d. $ !
% 64 "
h.
13
4x5 ! x x3
56. Let f(x) = 3x !1 and g(x) = 2 x ! 1 Find g(f(x).
57. Find the inverse of f(x) =
3 3
-1
x ! 9 . Then verify that f(x) and f (x) are truly inverses.
5
58. Solve the following equations. Be sure to check for extraneous solutions.
a.
b.
2x ! 7 = x ! 3
58.
Simplify:
59.
Simplify:
60.
Simplify:
61.
Simplify:
62.
Simplify:
63.
Solve:
(a
4
! b4
)
a 8 ! b8
2
2x + 3 = 3 ! 2x
ALGEBRA 2: FINAL EXAM REVIEW
64.
Solve:
3
x!4
65.
Simplify:
66.
Simplify:
67.
Simplify:
68.
Simplify: (2 7 + 3 )
69.
Simplify:
70.
Solve:
71.
Solve:
72.
Simplify:
73.
Simplify:
74.
Simplify:
75.
Simplify:
76.
Simplify:
1
3
+
x ! 4 x +1
600 ! 54 + 24
2
( 2 !2 6)
2
ALGEBRA 2: FINAL EXAM REVIEW
77.
Simplify:
78.
Find the solutions of the equation:
79.
Find the solutions of the equation:
80.
What is the polynomial function of least degree that has real coefficients, a
leading coefficient of 1, and the zeros -1,6, and ± 2i ?
81.
Find the quotient and remainder of:
82.
Find all rational zeroes of f(x) = x 3 + 2 x 2 ! 11x ! 12
83.
Find the mean, median, mode and standard deviation of the following: 7, 6, 0,
2, 2, 5, 6, 9, 1, 6
84.
If y varies inversely as x, and x = 5 when y = 5, find the equation then find y
when x = 2.
85.
If y varies directly as x, and x = 3 when y = 36, find the equation then find x
when y = 108.
86. Find the best fit
line for the data
shown.
Study Regents
Hours Score
3
80
5
90
2
75
6
80
7
90
1
50
2
65
7
85
1
40
7
100
ALGEBRA 2: FINAL EXAM REVIEW
87.
f ( x) = !2( x ! 1) 2 + 5
x
f(x)
Vertex:_________________
Parent Function: ______________
Translation of Parent Function:____________
Standard Form: _____________________
Exact x-intercepts:__________________
88. Sketch the graph of 3x + 2y + 4z = 12
89. Plot the following ordered triple:
(-1,3,4)