Region 1
Algebra 2
Simulation Test
1 Simplify the rational expression .
A
B
C
D 2
2 Which of the following is equivalent to ?
A
B
C
D
3 Simplify the expression:
A
B
D
4 The steps used to simplify an expression are shown. Identify the
missing property, in order, that justifies each step.
Given
Step 1: ________________
Step 2: ________________
Step 3: ________________
I
Associative Property of Addition
II
Commutative Property of Addition
III
Distributive Property IV
Additive Inverse Property
V
Additive Identity Property
VI
Substitution Property
A I, II, VI
B II, III, VI
C III, IV, V
5 Expressed in simplest form, is equivalent to
A
B
C
D
6 The sum of and , expressed in simplest radical form, is
A
B
C
D
7 When factored completely, equals
A
C
D
8 Find the area of the rectangle shown.
ft
ft
A 12 ft2
B ( )ft2
C ( )ft2
D ( )ft2
9 Identify each expression that is equivalent to . Select all
answers that are correct.
I II III
A II, IV
B I, VI
C I, V
D II, III
10 Which of the expressions simplify to be ?
A
B
C
D
11
Multiply the rational expression
A
B
D
12 Express in simplest form:
A
B
C
D
13 The expression is equivalent to
A 0
C
D
14 Describe the roots of the equation:
A one real root with multiplicity of two
B one imaginary root with multiplicity of two
C two distinct real roots
D two imaginary roots
15 The following graph is the solution set for which of the following
sentences?
A
C
D
16 Solve the equation .
A x = -3
B x = 6
C x = 13
D x = 24
17 Select all correct solutions of .
I
-5
II
-4
III -3 IV
1
V
3
VI 4
A III, VI
B I, IV
C II, V
D
18 Which of the following is a solution for this system of equations?
y – 4 = x2 – 2x
A (-2, 0)
B (0, 4)
C (0, 4)
D no solution
19 What is the solution set for ?
A
B
C
D
20 What is the solution set for the equation ?
A { }
B {-1}
C {0}
D {3}
21 What is the solution set for ?
B
C
D
22 What is the solution set for ?
A {all real numbers}
B
C
D
23 What is a solution for ?
A x =
B x = 6
C x = 22
D x = 24
24 Which of the following best represents the real solution to the function
A (1,3)
B (0,5)
C No real solution
D (2,5)
25 Solve for x.
A
B
C
D
26 What are the apparent solutions to the system of equations graphed
below?
y – 3 = -2(x – 1)2
I
(0,1)
II
( -.22,0)
III
(1,3) IV
(2.22,0)
V
(1.33, 2.78)
VI
(1,2)
A I
B II, IV
C III, VI
D I,V
A
B
C
D
28 What is if and ?
A
B
C
D
29 What are all of the intercepts of the function ?
A
B
C
30 What is the fourth term in the recursive sequence , if .
A 7
B 9
C 17
D 33
31 What is the apparent asymptote of the function ?
A x = 0
B x =-2
C y = -2
D y = 0
32 What is the apparent domain of the function ?
A
B
C
D
33 The number of gallons, g, in a circular swimming pool varies jointly
with the square of the radius, r, and the depth d. If g = 754 when r = 4
and d = 2, find the approximate number of gallons in the pool when
r = 3 and d = 1.5.
A 159 gallons
B 189 gallons
C 318 gallons
D 490 gallons
34 QSR, Quality Service Research, Magazine studied drive-through times
for fast-food restaurants and Wendy’s had the best time, with a mean time spent in the through of 138.5 seconds. Assume
drive-through times are normally distributed with a standard deviation of 29 seconds. If 220 vehicles use the drive through at Wendy’s on a given day, approximately how many vehicles will get through Wendy’s drive-through in less than 100 seconds?
B 67 vehicles
C 153 vehicles
D 200 vehicles
35 If y varies jointly as m and p and inversely as the cube root of w. If
y = 12, when m = 3, p = 2, and w = 512, find y when m = 5, p = 2, and
w = 125.
A 12.5
B 32
C 312.5
D 800
36 The number of committees consisting of 4 men and 5 women that can
be formed from 10 men and 13 women is -
A 270,270
B 817,190
C 778,377,600
D 296,541,907,200
37 Select all of the statements that are true about the end behavior of the
A I, IV
B I, II
C II, III
D III, IV
38 What are the apparent domain
and range of the function shown?
x y
I
As x approaches positive infinity, f(x) approaches positive infinity. II
As x approaches negative infinity, f(x) approaches positive infinity. III
As x approaches positive infinity, f(x) approaches negative infinity. IV
A III, V
B I, VIII
C II, VI
D IV, VII
39 For which intervals is the function, ,
only decreasing?
I
V II
VI III
VII IV
A
B
C and
D and
40 Find an exponential model that best fits the data shown and predict
when the tuition at U.T. Austin will be approximately $10,800. Let
f(t) represent the tuition and t is the number of years after the
2008-2009 school year. Let t = 0 represent the school year 2008-2009.
A
school year
B school year
C school year
D school year
Tuition of the University of Texas
Year Tuition
2008-2009
$5560
2009-2010
$5800
2010-2011
$6145
2011-2012
$6750
2012-2013
41 Which of the following represents the inverse of the function shown?
A C
42 Which value is a zero of ?
A
B
C
D
43 Which problem involves evaluating ?
A How many different four-digit ID numbers can be formed using 1, 2, 3, 4, 5, and 6 without repetition?
B How many different subcommittees of four can be chosen from a committee having six members?
C How many different outfits can be made using six shirts and four pairs of pants?
D How many different ways can one boy and one girl be selected from a group of four boys and six girls?
44 Select which values are NOT included in the domain of the function
. I
-5 II
-3
III -2 IV
2 V
3
A I, III
B IV, VI
C II, IV, VI
D I, III, V
45 Select all of the asymptotes of the function .
A II, V
B I, VI
C II, III, VI
D II, III, V
46 What are the number of real and non-real solutions of
? A 2 real and 4 non-real solutions
B 4 real and 2 non-real solutions
C 3 real and 3 non-real solutions
D 6 real and 0 non-real solutions
47 Find the sum of this series.
A
B
I
x = 2
II
y = 2
III
x = 4.5 IV
y = 4.5
V
x = 5
VI
C
D
48 What are all of the x- and y-intercepts of the function
?
A (4, 0)
B (0, 1)
C (0, 1), (9, 0)
D (0, 1), (4, 0)
49 What is the factored form a polynomial, f(x), if the solutions are
-3i, -6, , ,and3i ?
A
B
C
50 Which of the following graphs represent the function ?
A C