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# Algebra problems

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Problem 8
Find the LCD and perform the following operation:
Problem 9
For the following parabola find (you are not required to plot this solution):
(1) maximum value
(2) the vertex
(3) the x -intercepts
(4) y-intercept
(5) the domain
(6) the range
Problem 10
Solve the the equation below
Hint: You can solve by using the quadratic formula or by factoring. Your final answer, if rational, should have prime numbers in the numerator, denominator, or both.
? Do not convert to decimal fractions.
? Use only rational numbers.
? If you have to add fractions, find the LCD first, then add the fractions
? You can use 5 and 109 as prime factors of 297,025 (optional).
Problem 11
Frank and Sam working together can paint 27 square yards in 60 minutes. It takes Sam 1 more minute than it takes Frank to complete 1 square yard. How long does it take each to paint 1 square yard?
Problem 12
Debbie traveled by boat 5 miles upstream to fish in her favorite spot . Because of the 4 miles per hour current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water
Problem 13
It takes Brent one hour longer than Calvin to shuck a sack of oysters. If together they shuck a sack of oyster in 45 minutes, then how long would it atke each one working alone?
Problem 14
It takes a computer 8 days to print all the personalyzed letters for a national sweepstakes. A new computer is purchased that can do the same job in 5 days. How long would it take to do the job with both computers working on it?
Problem 15
A Plane flew 1260 miles against the wind and back in 16 hours. Find the speed of the plane in still air if the velocity of the wind was 20 miles per hour.