Advanced Algebra: Expressions Word Problems
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Advanced Algebra: Expressions WordProblems
Erica hiked up a mountain trial
Erica hiked up a mountain trial at 3km/h and returned at 4k/h. The entire trip took five hours 10 min including the half an hour she spent at the ...
Mr. Jenkins can dig a ditch
Mr. Jenkins can dig a ditch in one hour less then his son. Working together, they can do the job in 2\3 hour. How long does it take for ...
Crane A can unload the container ship
Crane A can unload the container ship in 10 hours, and crane B can unload it in 14 hours. Crane A started to unload the ship at noon and was joined by crane B at 2 P....
A marketing manager travels
A marketing manager travels 1080 miles in a corporate jet and then an additional 240 miles by car. If the car ride takes one hour longer than the jet ride takes, and if the rate of the jet is 6 times the rate of the ...
simplifying rational expressions
Mario can do the work in X hours. Luigi takes one more hour than Mario to do the work. Together they finish the work in 100 ...
Melanie can paint a certain barn
Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2 x days. Write a rational expression for the fraction of the barn tht they complete in one day by working together. Evaluate the expression for x =5
simplifying radical expressions
Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=Cr-2
, where C is a constant, and r is the distance that the object is from the center of the earth.
a. Solve the equation for r.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.)
c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level)
ii. The top of Mt McKinley (20,320 feet above sea level)
At a well known university
At a well known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many underrgraduate students as there are graduate ...
simplifying radical expressions
The strength of a medication over time is represented by the equation y=200(1.5)-x
, where x represents the number of hours since the medication was taken and y represents the number of micrograms per milimeter left in in the blood. After 4...
Jan invested $3600
Jan invested $3600, part at 8% and the rest at 7%. If the total income from the investments was $274...
Jamie buys a square tablecloth
Jamie buys a square tablecloth. The package label declares, the area of the cloth is 800 sq inches. What is the length of a side of the ...
it takes three hours for a pipe
it takes three hours for a pipe to fill a tank of water if the tank does not leak. Our tank has a crack that draines the tank in 5 ...
One person says that numbers in radicals
One person says that numbers in radicals are useless because they do not have any real world relevance. Give a convincing practical example to show this person that they are very practical and we need ...
A train moving at 75mph has a destination
A train moving at 75mph has a destination that is 150mi away. The train breaks down and has to be repaired and has delayed the trains schedule by six hours. to get to the destination on ...
Andy is putting together alien toys
Andy is putting together alien toys called Zergs and Borgs for the display window in a toy store. He has a box of alien toy body parts that contain 45 heads and 55 feet. Each Zerg must have one head and three feet. Each Borg must have four heads and two feet. How many Zergs and how many Borgs can he make if he must use all the heads and feet in the box?
Show all of your ...
Ms Forsberg usually swims
Ms Forsberg usually swims 150 laps a day. Today she decides she is going to swim p more laps. Write an expression for how many laps she will swim?
She swims p extra laps every day for 7 ...
Jim can run 5 miles per hour
Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 15 milkes with the wind, and in the same amount of time runs 67 miles against the ...
On a three day hike Matthew hiked twice as many miles
On a three day hike Matthew hiked twice as many miles on the first day as on the second day. on the third day he hiked 5 miles. Carlos hiked 5 miles on the first day and three times as many miles on the saecond day as on the third
A. write and simplify an expression for the total number of miles Matthew hiked.
B. Matthewhiked 6 miles on the second day. How many miles did Matthew hike in all.
C. If Carlos hiked 5 miles on the third ...
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To learn how to work word problems, algebraic expressions with variables, rates,y=mx+b or y=mx-b, and knowing what these variables stand for on a graph, fractions conversions etc.
I hope it will help me get an understanding of problem solving by using algebraic expressions.