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Algebraic Word Problems:
Equations:
1. The total electrical output of one nuclear facility is 200 megawatts more than that of another nuclear facility.
Let L be the output of the larger facility and S the capacity of the smaller facility. A statement above written in equation form becomes L = 200MW+ S.
2. The flow in one branch of a piping system is one-third that in the other branch.
If B is the flow within the branch with more flow, and b is the flow in the smaller branch, this statement becomes the equation b = 1/3 B.
3. A man is three times as old as his son was four years ago.
Let M = man's age and S = son's age. Then M = 3 (S-4).
4. A car travels in one hour 40 miles less than twice as far as it travels in the next hour.
Let x1 be the distance it travels the first hour and x2 the distance it travels the second then, x1 = (2) (x2) -40.
Equations of Planes Earlier we saw a couple of equations of planes. Though, none of those equations had three variables in them and were actually extensions of graphs which we
Nick paid $68.25 for a coat, including sales tax of 5%. What was the original price of the coat before tax? Since 5% sales tax was added to the cost of the coat, $68.25 is 105%
A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours? Use the formula distance = rate × time. Through substitution, distance = (4x2
1. In 1900, a certain country's population was 77,977,459 and it's area was 2,821,924 square miles, In 2000, the country's population was 283,575,229 and its area was 3,551,003 sq
Carlie received x dollars every hour she spent babysitting. She babysat a total of h hours. She then gave half of the money to a friend who had stopped through to help her. How muc
The sum of two numbers is 19, their difference is 5. find the numbers
Compare and contrast the Conquest of Mexico and the Conquest of Peru in the 16 th century. How did the structures of the indigenous empires in these two regions differ? What impact
Substitution Rule Mostly integrals are fairly simple and most of the substitutions are quite simple. The problems arise in correctly getting the integral set up for the substi
Adding Rational Expressions with Common Denominators To add or subtract fractions or rational expressions with common denominators, all you do is add or subtract the numerators
How do i divide 200 by 4
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