General Math Grade 11 - SECOND QUARTER EXAM

General Math Grade 11 - SECOND QUARTER EXAM 

Question 1

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3 log9 x2 = 6 log9 x

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False

Question 2

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Question 3

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3(log9 x)2 = 6 log9 x

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Question 4

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Find the value of each logarithmic expression. (Note: There's only one answer for the pair of logarithmic expressions indicated below.)

log7 (73 · 78) and log7 73 + log7 78

Answer: 11  

Question 5

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Without using a calculator, find the value of the following logarithmic expression.

log1/2 16

Answer: 4 

Question 6

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(log3 2)(log3 4) = log3 6 

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Question 7

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Find the value of each logarithmic expression. (Note: There's only one answer for the pair of logarithmic expressions indicated below.)

log7 75 and 5 · log7 7

Answer: 5  

Question 8

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(log3 2)(log3 4) = log3 8 

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Question 9

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Find the value of each logarithmic expression. (Note: There's only one answer for the pair of logarithmic expressions indicated below.)

log3 (27 · 81) and log3 27 + log3 81

Answer: 7  

Question 10

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The set A = {(-4, 4), (-3, 2), (-2, 1), (0, -1), (1, -3), (2, -5)} of ordered pairs form a function. Find the inverse of this function. 

 

Answer: A-1 = {(Answer 4, -4

), (Answer 2, -3

), (Answer 1, -2

), (Answer -1, 0

), (Answer -3, 0

), (Answer -5, 2

)}

Question 11

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Without using a calculator, find the value of the following logarithmic expression.

log9 729

Answer: 3 

Question 12

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Without using a calculator, find the value of the following logarithmic expression.

log7 1

Answer: 0 

Question 13

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log3 2x2 = 2 log3 2x

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Question 14

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Without using a calculator, find the value of the following logarithmic expression.

log2 32

Answer: 5

Question 15

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Simplify the given expressions and find the value of x.

24 = x

Answer: 16

Question 16

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Simplify the given expressions and find the value of x.

43 = x

Answer: 64 

Question 17

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The relation pairing a real number to its square is a one-to-one function.

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Question 18

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Fill in the table that represents the inverse of the function defined by:

x	-4	-3	-2	-1	0	1	2	3	4
y	-9	-7	-5	-3	-1	1	3	5	7

 

Inverse of the function:

x	Answer	Answer	Answer	Answer	Answer	Answer	Answer	Answer	Answer
y	Answer	Answer	Answer	Answer	Answer	Answer	Answer	Answer	Answer

 

 

 

Question 19

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Without using a calculator, find the value of the following logarithmic expression.

log5 5

Answer: 1  

Question 20

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Tell whether the following is a characteristic of stocks or bonds:

(a) A form of equity financing or raising money by allowing investors to be part owners of the company. Answer Stock

(a) A form of debt financing, or raising money by borrowing from investors. Answer Bond

Question 21

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log 22 = (log 2)2

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Question 22

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Find the value of each logarithmic expression. (Note: There's only one answer for the pair of logarithmic expressions indicated below.)

log7 (49/7) and log7 49 - log7 7

Answer: 1 

Question 23

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The relation pairing an SSS member to his/her SSS number is a one-to-one function.

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False

Question 24

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Find the value of each logarithmic expression. (Note: There's only one answer for the pair of logarithmic expressions indicated below.)

Answer: 5  

Question 25

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log3 2x2 = log3 2 + 2 log3 x

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