Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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1.
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Find the distance between the points (2,3) and
(5,7)
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2.
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Find the midpoint between the points (2,3) and
(6,7) a. | (-4,-4) | c. | (8,10) | b. | (4,4) | d. | (4,5) | | | | |
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3.
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Find the center and radius of the circle:  a. | (3,-4);
6 | c. | (-3,4);
36 | b. | 6;
36 | d. | 36;
(-4,3) | | | | |
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4.
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What is the
center of this conic section?
a. | (4,-3) | c. | (-4,3) | b. | (-3,4) | d. | (3,-4) | | | | |
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5.
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Write this equation in standard form:
a. | It is in
standard form | c. | | b. | | d. | | | | | |
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6.
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Write this
equation in standard form:
a. | It is in
standard form. | c. | | b. | | d. | | | | | |
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7.
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Find the
vertices of the ellipse:
a. | (-2,-3), (4,-3),
(1,-1), (1,-5) | c. | (-4,3), (2,3),
(-1,5), (-1,1) | b. | (-2,-3), (4,-3) | d. | (-4,3), (2,3) | | | | |
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8.
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Find the vertex of the parabola:
a. | (3,5) | c. | (-3,5) | b. | (5,3) | d. | (5,-3) | | | | |
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9.
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Solve:
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10.
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If  and
 ,
find the  a. | 2.5951 | c. | 3.2364 | b. | 1.5441 | d. | 3.5553 | | | | |
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11.
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Solve for x to 4 decimal place
accuracy:
 .a. | -0.2219 | c. | 0.2219 | b. | 0.6825 | d. | 1.4651 | | | | |
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12.
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Use your calculator to approximate the following,
to 4 decimal place accuracy:  a. | 347.6962 | c. | 12.6949 | b. | 0.4050 | d. | 0.9326 | | | | |
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13.
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Solve the following equation for x: 
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14.
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Textbook 10-3 Page 465 Example 3b
If  ,
then 
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15.
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Use the
properties of logs to express  as
a single logarithm
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16.
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Write in exponential form: 
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17.
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Evaluate (find the sum):
a. | 181,050 | c. | 180,600 | b. | 181,500 | d. | 1207 | | | | |
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18.
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Find the sum of the series 16+12+9+..., if it has one.
If it does not, say so
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19.
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Write sigma notation for the
series:
1-4+9-16+25-36
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20.
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Find the 6th term of 
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21.
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Find the 23rd term in the Geometric
sequence:
3, 6, 12, ... a. | 8,388,608 | c. | 12,582,912 | b. | 6,291,456 | d. | 25,165,824 | | | | |
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22.
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Tell whether the sequence  is arthimetic, geometric or
neither and
supply the next term. a. | geometric, | c. | arithmetic, | b. | neither, | d. | geometric, | | | | |
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23.
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The first term of an Arthimetic Sequence is 2 and the
16th term is 47. Find the common difference.
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24.
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Textbook Page 512 Example 5
Frank has taken
a job with a starting salary of $15,000 and annual raises of 4%. What will be his salary during his
third year on the job a. | $16,224.00 | c. | $16,872.96 | b. | $15,600.00 | d. | $17,547.87 | | | | |
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25.
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Find q to the nearest degree if cos q = -0.7660 and
 . (Quadrants II or III)
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26.
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In triangle ABC. a =11, c = 15,  . Find side b to the nearest
tenth.
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27.
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If  ,
then  
Find both angles. a. | 60,
300 | c. | 60,
240 | b. | 60,
120 | d. | 60,
30 | | | | |
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28.
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In trianlge ABC, a = 6, b = 9, and c = 14. Find  to the nearest degree.
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29.
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Find the area of triangle ABC if a = 23, b = 14, and
 . Give the answer to one decimal place
accuracy a. | 144.7 sq
units | c. | 115.8 sq
units | b. | 70.6 sq units | d. | 289.4 sq units | | | | |
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30.
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If csc x = 2, then x = ? ( Find both angles. a. | 30, 60 | c. | 30, 150 | b. | 30,120 | d. | 30,
210 | | | | |
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31.
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DO NOT USE A CALCULATOR! LEAVE YOUR ANSWER
IN
SIMPLEST RADICAL FORM! If  ,
find the 
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32.
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In Right
Triangle ABC,  , 
 . Find side  to the nearest tenth
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33.
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DO NOT USE A CALCULATOR! LEAVE YOUR ANSWER
IN
SIMPLEST RADICAL FORM! Find the 
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34.
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Find the reference angle for an angle with measure
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35.
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Convert 270
into radians
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36.
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What is the amplitude of the graph of  a. | | c. | | b. | | d. | 90 | | | | |
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37.
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Sketch the graph of  on your scartch paper. What is the y value, when  is 360
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38.
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What is the
period of the graph of 
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39.
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What is the
period of the graph of  a. | 2 | c. | 90 | b. | | d. | 1440 | | | | |
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40.
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How many combinations can be selected from the letter
in the word IMPROVE, taking them 5 at a time
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41.
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Score | Frequency | 5 | 1 | 10 | 2 | 15 | 4 | 20 | 2 | | |
Find the mode, the median, and the mean, to the
nearest whole number, for the frequency distribution shown above. a. | 4; 15;
15 | c. | 14; 15;
15 | b. | 4; 13;
13 | d. | 15; 15;
14 | | | | |
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42.
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In how many ways can the letters in the word HUBBUB be
arranged?
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43.
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In how many way can the letters of the word SAMPLE be
arranged using only 4 of the letters at a time?
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44.
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How many
positive even integers containing 4 digits can be formed using the digits 0, 1, 2, 4, and
5?
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45.
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How many 3-symbol identification codes can be made
using lower case letters for the first and third symbols and a digit from 1 to 9
inclusive for the middle symbol?
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46.
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For the
following system of simultanious equations, find 
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47.
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Solve for x and y:
a. | x = 3, y = 2
| c. | x = 4, y =
2 | b. | x = 2, y = 4
| d. | x = 0, y
=0 | | | | |
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48.
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Find the determinant of the following matrix using the
definition of a determinant for a 3x3 matrix:
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49.
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Textbook Page 771 Example 2
Simplify:
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50.
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Textbook Page 775 Example 1
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