Algebra 2 section of MathBitsNotebook.com

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Practice Test 2 - 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. 
 Choose the correct simplification of:   T21m
[1] 31 - 12i
[2]  23 - 12i
[3] 39 + 4i
[4] 11



2.  Find the solution(s) to the equation: x2 - 3x + 5 = 2x + 10
[1]  T22a
[2] T22b 
[3]  T22c
[4]  T22d
 


3.  Find the value of sin θ, if θ lies in the third quadrant and tan θ = T23m.
[1]T23a
[2] T23b
[3]T23c
[4] T23d
 
4.  Solve for x:    T24m
[1]  x = 6 and x = -3
[2]  x = +3 and x = -6
[3]  x = 6
[4] x = -3



5.  Which choice is equivalent to: T25m ?
[1] T25a
[2]  t15b
[3] T25c
[4] T25d
 



6.  Identify the focus and directrix of the quadratic  (x - 2)2 = 8(y - 3).
[1]  focus (2,3); directrix y = 1
[2]  focus (2,1); directrix y = 5
[3]  focus (2,5); directrix y = 1
[4]  focus (2,5); directrix y = 0
 


7.  Which of the following is NOT equivalent to T27m?
[1] T27a
[2]T27b
[3] T27c
[4]T27d

 

8.  What is the quotient?    T28m
[1] T28a
[2]  x + 6
[3] T28c
[4] T28d


9.  Find the sum of the first 4 terms of a geometric sequence where a1 = π + 3 and the common ratio is 4.
[1] 4π + 12
[2] 64π + 192
[3] 85π + 255
[4] 256π + 768
 
10.  If 5x = ln(e16), what is the value of x ?
[1] 1.5
[2] 2.1
[3] 3.2
[4] 16
 

11.  A sampling distribution of sample proportions for a specific study has a mean, p, of 0.32 and a sample size of 50. The standard deviation (standard error) of this sampling distribution is 0.066. What is the margin of error for a 95% confidence level?
[1] 0.066
[2]  0.084
[3] 0.132
[4]  0.164
 
12.  If the probability that an event will occur is t212a , what is the probability that the event will NOT occur?
[1] t212Pa
 [2] t212Pb [3] t212Pc [4] t212Pd


 
13.  In relation to the functions shown below, choose the best answer.
t213graph1
t213graph2
t213graph3
t213graph4
[1] g (x) is an even function [2] h (x) is an odd function
[3] f (x) is an odd function [4] Both g (x) and j (x) are odd functions



14.  If t214, which choice represents the inverse function, p-1(x) ?
[1] t214a
 [2]  t214b
[3]t214c [4] t214d



15.  Given the equation x (x + 10) = 5 (2 - x), what is the nature of the roots?
[1]  two rational, unequal roots
[2] two irrational roots 
[3]  two rational, equal roots
[4] two imaginary roots


 
16.  Given f (x) = | x - 4 | + 2 and g(x) = 3x - 4, find the x-value(s) that statisfy f (x) = g(x).
[1]  1
[2]  ½, 2½
[3]  -1
[4] 2½
 


17.  Find the solution set to the equation 2x3 + 3x2 - 32x - 48 = 0.
[1]t218a
[2]t218b
[3] t218c
[4] t218d
 

18.  Using the triangle at the right, find the value of

             15 sin(A) + 10 sec(B) - 8 cot(A). 		t218pic
[1] 12
[2] 14
[3] 18.5
[4] 32
 


19.  Which of the following represents the sum of a geometric sequence?
[1]t219a
[2]t219b
[3]t219c
[4] t219N
 


20.  Jackie's parents invested money at an interest rate of 6% compounded continuously, to save toward Jackie's college education. How much money did the parents invest when Jackie started first grade to accumulate $20,000 after 12 years? Calculations have been rounded to the nearest penny.
[1] $6,846.60
[2] $9,735.05
[3] $10,976.23
[4] $13,966.05



21.  What is the domain of the function t221eq?
[1] t221a
[2]  t221b
[3] t221c
[4]  t221d



22.  A central angle on the unit circle is 80º. Find the length of the arc subtended by this angle.
[1] t222a
[2]  t222b
[3]  t222c
[4]  t222d
 


23.  Which of the following expressions is equivalent to t223?
[1] t223a
[2]  t223b
[3] t223c
[4]  t223d

 

24.  After hearing complaints from the teachers, a principal wishes to conduct a survey to determine if he needs to take action regarding excessive cell phone usage in the school hallways between classes. Which of the following is the best method for the principal to gather reliable data pertaining to the amount of cell phone usage?
[1]  Select every 10th student from the hallways and ask his or her opinion on this issue.
[2]  Distribute a student questionnaire on this issue to each student seen in the hallways.
[3]  Ask each teacher to find the level of student cell phone usage in the hallways.
[4]  Position observers in the hallways to count the number of students using cell phones.