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About Socrates
(Top Expert on this page)

Expertise
Any questions on High School Algebra, College Algebra, Abstract Algebra. I can help with word problems, solving equations, trigonometry, inequalities, Gaussian Elimination, Linear Algebra, groups, fields, you name it!

Experience
Ph.D. in Mathematics, specialist in Algebra. I have taught High School students and college students at three state universities.

Organizations
Mathematical Association of America. American Mathematical Society.

Publications
Regular contributions to the problems section of the American Mathematical Monthly journal.

Education/Credentials
B.S., M.S., Ph.D.

   

You are here:  Experts > Science > Math for Kids > Algebra

Questions Answered By Expert  Socrates 
In Category  Algebra

SubjectDate Asked

word problem10/2/2009
  Q: A store uses twice as many five-dollar bills as ten-dollar bills. $2500 was obtained in five- and ...
  A: Let F be the number of five dollar bills Let T be the number of ten dollar bills The store uses ...
Motion word problem9/30/2009
  Q: Train A travels 12 mph slower than Train B. Train travels 200 miles in the same time it takes Train ...
  A: Let b be the speed of train B , and let a be the speed of train A. Train A travels 12 mph slower ...
Finding intercepts4/21/2009
  Q: What are the intercepts of x+y=56? Are they (0,0)? Also, what are the intercepts for x+y=56, when ...
  A: To find the x intercept , put 0 in for y and solve for x . To find the y intercept , put 0 in for x ...
algebra2/21/2009
  Q: hallo, here's my question Two 40 % and 60 % solutions of sulfuric acid were mixed and then were ...
  A: x = the amount of the first solution y = the amount of the second solution the total amount of ...
motion problem i need help with1/21/2009
  Q: the speed of a stream is 3km/h. A boat travels 4km upstream in the same time it takes to travel 10km ...
  A: Let s be the speed of the boat. The stream is moving at 3km/h , so Downstream boat speed = s+3 ...
slope intercept9/22/2008
  Q: what is the slope intercept form of the equation of a line that passes through (4,-6) and (3,2)
  A: slope = (-6 - 2) / (4 - 3) = -8/1 = -8 y = mx + b is the slope intercept form where m is the slope ...
Graphs9/21/2008
  Q: A graph passes through the points (0,a) , (b,c) , and (d,e) (b,c) is the vertex. What is its ...
  A: The graph looks like a parabola , so suppose the equation is y = rx^2 + sx + t We must figure out ...
Algebra8/21/2008
  Q: How do you simplify problems like this one: (^ means exponent) x^7 - x^5 i have the answer but dont ...
  A: Factor out the highest power of x x^7 - x^5 = x^5 ( x^2 - 1) For the second problem, start by ...
algebra5/21/2008
  Q: what is the square root of 108x^4y^6z^9
  A: take the square root of the terms one at a time then multiply together 108 = 9 x 4 x 3 , so the ...
algebra I2/22/2008
  Q: linear combination method: 5X - 2y = 4 x + 2y = 8
  A: Not sure what method you are referring to , but here is how I would solve the equations Add the ...
Algebra II H1/22/2008
  Q: I am a sophomore and am in an Algebra II Honors class. I took Algebra I as a freshmen, and got an A. ...
  A: I doubt you are just stupid at math. You need a good textbook and a good teacher. If you have ...
Ouadratic12/21/2007
  Q: How do you put (2x+1)^2 in standard form
  A: standard form is a(x-h)^2 + k (2x+1)^2 = 4x^2 + 4x + 1 = 4(x^2 + x + 1/4) at this point, we ...
need help10/22/2007
  Q: how do you find the zeros for x-sqrtx-12.
  A: I assume you mean the zeros of x - x^1/2 - 12 so we try to solve x - x^1/2 - 12 = 0 x - 12 = ...
Word problem6/21/2007
  Q: Professor Davis counts his midterm as 2/3 of the grade, and his final as 1/3 of the grade. Jason ...
  A: Let f be the score on the final. Jason's average will be (2/3)(64) + (1/3)f We want this average ...
math problem5/15/2007
  Q: the diagram is one of a graph of the function f(x)=(x^2)+1,-1<=x<=1 and p,q E(element) R.(i)find ...
  A: i) p=2 and q = 1 OR q = -1 ( either value for q will work ) ii) the range of this function is 1 ...
Original Amount3/15/2007
  Q: A storage tank contains a brine composed of 2.5% sodium chloride. A 3% concentration is a result of ...
  A: Let B = the original amount of brine (salt water) Since the solution is 2.5% sodium chloride ...
Algebra10/16/2006
  Q: How do square roots and times itself come about in an equation?
  A: Some simple examples if an object falls for t seconds, the distance it falls will be distance = ...
y axis9/27/2006
  Q: what is it called when the y axis = 0?
  A: I am not sure what you are asking. If you want to know what points all have y=0 , the answer is the ...
diameters and revolutions formula's9/26/2006
  Q: 20" diameter wheel how far will it go in on complete revolution just need the formula would help for ...
  A: One complete revolution means the wheel travels the distance completely around the wheel. This is ...
Algebra9/3/2006
  Q: What is the circumference of a circle whose radius is 15 feet? I can't remember how to do the whole ...
  A: The circumference of a circle is pi times the diameter. You only square when you are finding the ...
Extraneous solutions8/9/2006
  Q: I have just gotten to radical expressions in my algebra couse, and the book says that extraneous ...
  A: An extraneous solution is one that doesn't satisfy the original radical equation. A negative number ...
Algebra8/1/2006
  Q: I am helping my niece who is home schooled with algebra. There is what seems to be a very simple ...
  A: You didn't do anything wrong. It just happens sometimes that radical equations do not have any ...
algebra (word problem)7/31/2006
  Q: Big plane. A six-passenger lane cruises at 180 mph in calm air. If the plane flies 7 miles with the ...
  A: Let w = wind speed 180 + w = speed of the plane with the wind 180 - w = speed of the plane against ...
three consecutive integers5/13/2006
  Q: Please help in explaning how to solve the following problem: Find three consecutive integers such ...
  A: We can write three consecutive integers as n-1 , n and n+1. The sum of their squares must be 77 , so ...
Solving word problems3/13/2006
  Q: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the ...
  A: Let s be the time it takes going out to the town and let t be the time for the return trip. He ...
logarithms2/12/2006
  Q: Need more help understanding steps of logs. equation is: log3(m+1) - log3(m-1) = log3 m I ...
  A: First , log3(m+1) - log3(m-1) = log3(m+1)/(m-1) So now the equation becomes log3(m+1)/(m-1) = log3 ...
Word Problem2/8/2006
  Q: This questions is not that hard but, I still cannot figure out the equation to this word problem. ...
  A: When John leaves at 11 am, Mary has already been traveling for two hours. That means that when John ...
algebra 29/27/2005
  Q: the diffrence between one-half of a number and one-sixth of the n umber is equal to ten more than ...
  A: Let x be the number. The difference between one half of the number and one sixth of the number is ...
inequalitys...7/27/2005
  Q: What does the inequality 2x-4y<-6 look like on a graph? Where is it shaded? above or below the line? ...
  A: I think the easiest way to understand this is to first solve the inequality for y. 2x - 4y < -6 ...
On beyond quadratic6/29/2005
  Q: I have one student who is extremely bright and always asks the most intriguing questions. When I was ...
  A: Yes, there are formulas like the quadratic formula for the solutions of cubic and quartic polynomial ...
conics5/26/2004
  Q: classify the graph as a parabola, circle, ellipse, or hyperbola. then write the equation in standard ...
  A: 1) 4x^2 + y = 3 y = -4x^2 + 3 You should recognize that the graph of this equation is a ...
algebra3/28/2004
  Q: In baseball a player's batting average in the ratio of hits to the number of times he or she has ...
  A: To get a batting average of of .300 , you need the number of hits divided by the times at bat to ...
cherry garcia word problem3/26/2004
  Q: data from the label of Ben & Jerry's Cherry Garcia low fat frozen yogurt: serving size: 1/2 cup ...
  A: Flavor Calories from fat Percentage of total calories Cherry Garcia 9x3=27 ...
exponents2/25/2004
  Q: i have some questions on exponents. 1) x^4 . x^-2 2) (6^2)^2 3) (2xy^3)^-2 4) (x^2y^2)^-1 5) 4x^-1y ...
  A: 1) (x^4)(x^-2) = x^2 Add exponents when expressions are multiplied with the same base. 2) (6^2)^2 ...

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