General Math Grade 11 - SECOND QUARTER EXAM
Question 1
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3 log9 x2 = 6 log9 x
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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:
Inverse of the function:
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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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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