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»
Mathematics
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Algebra
Do you know algebra and calculus?
12 Questions  Developed by:
Craig House
 Updated on:
20061001
 Developed on:
20060917
 9.060 taken  User Rating:
4
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14
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This is a short test to determine if you know your stuff about almost college level math.
1
The value of X in the equation X^2 + 2X = 5
can be found by:
using a calculator
applying the quadratic formula
by common factoring X out of the first two terms
isolating the variable X
2
Suppose you want to add 3x/5y and 2x/5y, you would:
invert the fractions and add
add the numerators
reduce the fractions to the lowest terms
multiply the numerators by the denominators of the other fraction
3
The equation 2x + 3x  3 = y can be simplified by:
collecting like terms
differentiating the equation
applying the quadratic formula
transposing the x terms
4
The fraction (2X^2 + 3X)/X can be simplified by:
finding the prime factors of the numerator
multiply the equation by X / X
common factoring X out of the numerator and dividing it out
inverting the fraction
5
When graphed, the equation X^2 + Y^2 = 4 will look like
a circle with a radius of two
an exponential growth curve
a line
a parabola
6
If five big rocks and three small ones weigh 5 pounds; and six big rocks and two small ones weigh 6 pounds, how can you find the weight of the rocks?
by finding prime factors
by factoring
by integrating
by solving a system of linear equations
7
In the equation y = 3x /(x3), if x is three than:
there is a local maximum at x = 3
it is in impossibility because the equation has a singularity at X=3
there would be zero rate of change
you would need a differential equation to solve for the value of y
8
Using algebra, you can make sqrt(4x) into 2*sqt(X) because:
4 is a prime factor
you can break square root brackets into square roots of the factors
4 is a magic number
you can differentiate the equation
9
What would you get if you integrated y = 1 / x?
y = x
y = 1
y = ln x
y = 1 / x^2
10
If it takes 1 hr to make an acre eastwest fence and 2 hr to make an acre northsouth fence, how can you find the maximum area of the enclosed square of fences if you have 12 hr to set up fences?
factor
substitute to get an equation, let a derivative equal zero
solve a system of linear equations
use the quadratic formula
11
The derivative of an equation is 2 and the next derivative is zero. Of the original equation, this means:
the rate of change is always 2, there is no change in the change
the equation has no minimum
the equation is meaningless when dealing with second derivatives
the equation is always positive
12
You can solve y = 12^x by:
using the property of logarithms "log x^y = y log x"
you need a special formula
by inverting both sides of the equations
creating a differential equation
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