1. Using the remainder theorem find the remainder when x6 – x +1 is divided by x – 2. а. 61 b. 62 с. 63 d. 64

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Using the remainder theorem find the remainder when x6 –x + 1 is divided by x – 2.
b. 62
a. 61
c. 63
d. 64
2. What is the product of v-3 andy-12?
b. -бі
а. бі
c. 6
d. -6
3. If f(x) = x – 1 and f(g(x)) = 4, find g(x).
a. 4
b. 5
c. 6
d. 7
4. If xy = 12, xz = 15 and yz = 20, find the value of xyz.
а. 60
b. 55
с. 50
d. 45
5. If p - q = 5 and pq = k/2, then p² + q² is
b. 25k
a. k
c. 25 + k
d. k/25
6. Find the value of w in the following equations 3x - 2y + w = 11, x + 5y - 2w = -9, and 2x + y - 3w = -6.
a. 3
b. 2
с. 4
d. -2
7. Paula is now 18 years old and Monica is 14 years old. How many years ago was Paula twice as old as Monica?
а. 5
b. 7
c. 8
d. 10
8. It takes Butch twice as long as it takes Dan to do a certain piece of work. Working together they can do the work in six days.
How many days would it take Dan to do it alone?
a. 9
с. 11
9. Ten liters of 25% salt solution and 15 liters of 35% salt solution are poured into a drum originally containing 30 liters of 10%
b. 10
d. 12
salt solution. What is the percent concentration of salt in the mixture?
b. 22.15%
a. 19.55%
c. 27.05%
d. 25.72%
Transcribed Image Text:1. Using the remainder theorem find the remainder when x6 –x + 1 is divided by x – 2. b. 62 a. 61 c. 63 d. 64 2. What is the product of v-3 andy-12? b. -бі а. бі c. 6 d. -6 3. If f(x) = x – 1 and f(g(x)) = 4, find g(x). a. 4 b. 5 c. 6 d. 7 4. If xy = 12, xz = 15 and yz = 20, find the value of xyz. а. 60 b. 55 с. 50 d. 45 5. If p - q = 5 and pq = k/2, then p² + q² is b. 25k a. k c. 25 + k d. k/25 6. Find the value of w in the following equations 3x - 2y + w = 11, x + 5y - 2w = -9, and 2x + y - 3w = -6. a. 3 b. 2 с. 4 d. -2 7. Paula is now 18 years old and Monica is 14 years old. How many years ago was Paula twice as old as Monica? а. 5 b. 7 c. 8 d. 10 8. It takes Butch twice as long as it takes Dan to do a certain piece of work. Working together they can do the work in six days. How many days would it take Dan to do it alone? a. 9 с. 11 9. Ten liters of 25% salt solution and 15 liters of 35% salt solution are poured into a drum originally containing 30 liters of 10% b. 10 d. 12 salt solution. What is the percent concentration of salt in the mixture? b. 22.15% a. 19.55% c. 27.05% d. 25.72%
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