Algebra 2 section of MathBitsNotebook.com

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Practice Test 1 - Algebra 2
Interactive Version - Multiple Choice

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Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time. You may use your graphing calculator when working on these problems.
1. 
 testA21
[1] t1-1a
[2]  t1-1b
[3] T1-1c
[4] T1-1d

 

2.  T1-2
[1] T1-2b
[2] T1-2a
[3] T!-2c
[4]  T1-2d
 


3.  What is the focus of a parabola whose equation is (x - 2)2 = 4(y + 1)
[1] (2,-1)
[2] (2,1)
[3] (2,0)
[4] (-2,0)
 
4.  The graph at the right shows f (x) = sin (x) on the interval from
0 < x < 2π. Function g (x) will be a transformation of function f such that g (x) = - f (x). Which of the following statements will be true?
[1]  f (x) and g (x) are both odd
[2]  f (x) is odd and g (x) is even
[3]  f (x) is even and g (x) is odd
[4]  f (x) is neither and g (x) is neither
T1-3graph

5.  Which of the following is the solution set for the equation T15 ?
[1]  t15a
[2]  t15b
[3]  t15c
[4]  {-5}
 


6.  Following a major renovation, the monthly population of patrons vising a theme park grew according to the model P = 3,000(1.21)t, where P is the population and t is the time in months. Which of the following equations can model the approximate yearly growth rate, assuming this growth continues?
[1]  t1a
[2]  t16b
[3]  t16c
[4]  ti6d
 

7.  Which of the following choices is NOT a real number?
[1] (6 + 2i)(6 - 2i)
[2] (-2i)12
[3] (3+4i)(-4i)
[4] (7i)(8i)

 

8.  Given function f defined as f (x) = x2 - 6x + 2. The expression that defines f (x + 3) is:
[1]  x2 + 17
[2]  x2 - 7
[3]  x2 + 6x - 7
[4]  x2 - 6x + 5


9.  Which expression is equivalent to T19
[1] t19a
[2] t19b
[3] t19c
[4] t19d
 
10.  A home-owner invests $15,000 at an annual interest rate of 4%. What will be the value of this investment after 6 years if the investment is compounded quarterly?
[1] $18,979.79
[2] $19,046.02
[3] $19,061.13
[4] $19,068.74
 

11.  Which equation has non-real solutions?
[1] 3x2 + 6x = 0
[2]  3x2 + 6x - 18 = 0
[3] 3x2 + 5x = 6x + 18
[4]  3x2 + 6x + 18 = 0
 


12.  The graph of quadratic function f (x) is shown at the right. What is the remainder when f (x) is divided by (x + 2)?

[1]  2
[2]  -2
[3]  -4
[4]  -6


t125graph
 
13.  How many non-real roots does the following polynomial function have?
       P(x) = (x2 - 7) (x2 + 16) (x2 - 4) (3x + 5)
[1] 0
[2] 2
[3] 3
[4] 4



14.  You took a summer job, for five weeks, where your salary includes tips. Your take-home pay was recorded in the table at the right. What was the average rate of change in your weekly take-home pay over the five week period?
Week
1
2
3
4
5
Salary
$60
$65
$72
$75
$80
[1] $4.00 per week
 [2]  $4.50 per week
[3]  $5.00 per week [4]  $5.50 per week



15.  When 4x3 + 14x2 - 6x + 1 is divided by (2x - 1), the quotient may be expressed as:
[1]  t115a
[2] t115 
[3]  t115c
[4]  t115d


 
16.  Determine the points of intersection of x2 + y2 = 400 and y = 3x + 20.
[1]  (0,20) and (0,-20)
[2]  (0,20) and (12,16)
[3]  (0,20) and (-12,-16)
[4] (0,-20) and (12,-16)
 


17.  A geometric sequence is modeled by the explicit equation an = 3 • 2n - 1. Which recursive equation also models this geometric sequence?
[1] a1 = 3;   an = 2 • ( an - 1 )2
[2] a1 = 6;   an = 2 • an - 1
[3] a1 = 6;   an = 3 • an - 1
[4] a1 = 3;   an = 2 • an - 1
 


18.  On a standardized test, a score of 84 falls exactly 1.5 standard deviations below the mean. If the standard deviation for the test is 2, what is the mean score for this test?
[1] 82
[2] 82.5
[3] 85.5
[4] 87
 


19.  The expression log3(8 - x) is defined for all values of x such that
[1] x > 8
[2] xgreaterequal 8
[3] x < 8
[4] xlessequal 8
 


20.  A skateboarding company surveys high school underclassmen as to their favorite primary color. The table below shows the results of the survey.

Student
Blue
Red
Yellow
TOTAL
Freshman
68
41
46
155
Sophomore
84
56
70
210
Junior
59
74
47
180
TOTAL
211
171
163
545

If a junior is randomly selected from this sample set, what is the probability that the student prefers red or yellow?
[1] t120a
[2]  t120b
 [3] t120e [4]   t120c




21.  Which of the following expressions is NOT a factor of the expression
2x3 - 7x2y - 18xy2 + 63y3 ?

[1] x + 3y
[2]  x - 3y
[3] x2 + 9y2
[4]  2x - 7y



22.  Which statement is NOT true regarding the graph of the following function? t121
[1]  The amplitude is 2.
[2]  The range is [4,8].
[3]  The y-intercept is (0,6).
[4]  The period is 8.
 


23.  In the polynomial function f (x) = (2x + 1)(x - 3)(x + 2), on which interval(s) is f (x) positive?
[1]  0 < x < 3
[2]  -2 < x < - ½ and x > 3
[3] -∞ < x < -1.315 and x > 1.648
[4]   -1.315 < x < 1.648

 

24.  During a 5-hour experiment, the population growth of bacteria increased as shown in the table at the right. The time, t, is expressed in hours. Which model for P(t), the population of the bacteria after t hours, best fits the data?
[1]  P(t) = 512.286t - 179.048
[2]  P(t) = 512.286t + 250
[3]  P(t) = 250(1.750)t
[4]  P(t) = 215.983(1.652)t
Hours
Number
0
250
1
330
2
580
3
800
4
1650
5
3000