2 Algebra II – Beatty
Final Review
1. Simplify:
2. Simplify:
3. Evaluate:
4. Evaluate:
5. Identify the property shown:
6. Identify the property shown:
7. Identify the property shown:
8. Solve for y:
9. Solve for y:
10.
Solve & Graph:
11.
Solve & Graph:
12.
Solve & Graph:
Name:
13.
Solve & Graph:
14.
Solve & Graph:
15.
Find the range of the equation y = 2x + 3 if the domain is {-2, 1, 2}
16.
Find the domain of the equation -6x + 3y = 36 if the range is {-2, 0, 2}
17.
Graph the equation:
18.
Graph the equation:
19.
Graph the equation:
20.
Write the equation in standard form: slope = -2 and y-int of 3
21.
Write the equation in standard form: slope ¾ and y-int of -5
22.
What is the equation of the line that passes through the point (6,-3) and is
perpendicular to the line: y  3x  4
23.
What is
24.
How many solutions does the following system have:
25.
Find the product of the matrices:
26.
Find the product of the matrices:
f (4) ,
if
f ( x)  3 x 4  4 x 2  2 x  1
3 x  3 y  12
5 x  5 y  20
27.
Find the determinate:
28.
Evaluate:
29.
Find the inverse of the matrix:
30.
Find the inverse of the matrix:
31.
What is the correct factorization of
32.
What are the solutions of
2 x 2  3  37
33.
What are the solutions of
x 2  x  11  0
34.
In how many ways can 5 runners finish a race first, second, or third?
35.
How many ways can a committee of 4 be formed from 4 people?
3x 2  5 x  12
36.
How many different license plates are possible if three digits are
followed by three letters (numbers and letters MAY be repeated)?
37.
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?
38.
Evaluate: 8 P6
39.
Evaluate: 8 C6
40.
Evaluate: 9!
41.
Find the 13th term of the arithmetic sequence -3, 1, 5…
42. What is the common difference in the arithmetic sequence 50, 44, 38, 32,…?
43.
What is the ratio of the geometric sequence 81, 27, 9, 3, …?
44.
Identify the sequence: 4, 9, 14, 19, 24, …
45.
Identify the sequence: 3, 12, 48, 192, …
46.
Identify the sequence: 1, 4, 9, 16, 25, …
47.
Rewrite as a fraction:
48.
Rewrite as a fraction:
49.
Factor:
50.
Factor:
51.
Solve the system of equations:
52.
Solve the system of equations:
53.
How many solutions does the system have:
a.
b.
54.
Simplify:
55.
Simplify: x 2  x b  x
56.
Simplify:
57.
Perform the operation:
58.
Perform the operation:
59.
Simplify the following:
a. 64
1 3
60.
Evaluate:
61.
Evaluate:
62.
Simplify:
63.
Simplify:
64.
Simplify:
65.
Solve:
66.
Solve:
b. 8
a
4
23
 b4
c.

a 8  b8
2
125
13
 27 
d.  
 64 
13
e.
253 2
67.
Simplify:
68.
Simplify:
69.
Simplify:
70.
Simplify:  2 7  3 
71.
Simplify:
72.
Solve:
73.
Solve:
74.
Simplify:
75.
Simplify:
76.
Simplify:
77.
Simplify:
78.
Simplify:
79.
Simplify:
80.
Find the solutions of the equation:
600  54  24

2 2 6

2
2
81.
Find the solutions of the equation:
82.
Find the quotient and remainder of:
83.
Find the remainder of f(4) in the polynomial f(x) = x3-2x2-9x+18
84.
Find the mean, median, and mode of the following: 7, 6, 0, 2, 2, 5, 6, 9, 1, 6
4
85.
What is the correlation represented by the scatter
plot shown?
2
86.
If y varies inversely as x, and x = 5 when y = 5, find the equation then
find y when x = 2.
87.
If y varies directly as x, and x = 3 when y = 36, find the equation then find
x when y = 108.
88.
If z varies directly as x and inversely with y, and x = 35, y = 5 when z =
63, find the equation.
f ( x)  x 2  x  1
If
90.
How many x-ints can the function have at most? Then find all of the possible
rational zeros of f using the rational zero theorem f  x   3x3  5x2  6x 18
91.
If y  x  8 x  12 and the real zeros are 2 and 6. Find the equation of the line
containing the vertex.
2
and
g ( x)  x  3 ,
89.
what is
f ( g ( x)) ?