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Mathematics quizzes
Do you know algebra and calculus?
12 Questions  Developed by:
Craig House
 Developed on:
20061001
 7.498 taken  User Rating:
4
of
5.0

14
Votes
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:
applying the quadratic formula
isolating the variable X
using a calculator
by common factoring X out of the first two terms
2
Suppose you want to add 3x/5y and 2x/5y, you would:
reduce the fractions to the lowest terms
invert the fractions and add
multiply the numerators by the denominators of the other fraction
add the numerators
3
The equation 2x + 3x  3 = y can be simplified by:
applying the quadratic formula
collecting like terms
differentiating the equation
transposing the x terms
4
The fraction (2X^2 + 3X)/X can be simplified by:
finding the prime factors of the numerator
inverting the fraction
multiply the equation by X / X
common factoring X out of the numerator and dividing it out
5
When graphed, the equation X^2 + Y^2 = 4 will look like
an exponential growth curve
a parabola
a circle with a radius of two
a line
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 integrating
by finding prime factors
by factoring
by solving a system of linear equations
7
In the equation y = 3x /(x3), if x is three than:
there would be zero rate of change
it is in impossibility because the equation has a singularity at X=3
you would need a differential equation to solve for the value of y
there is a local maximum at x = 3
8
Using algebra, you can make sqrt(4x) into 2*sqt(X) because:
4 is a magic number
you can differentiate the equation
you can break square root brackets into square roots of the factors
4 is a prime factor
9
What would you get if you integrated y = 1 / x?
y = 1 / x^2
y = 1
y = x
y = ln x
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?
substitute to get an equation, let a derivative equal zero
use the quadratic formula
solve a system of linear equations
factor
11
The derivative of an equation is 2 and the next derivative is zero. Of the original equation, this means:
the equation has no minimum
the equation is meaningless when dealing with second derivatives
the rate of change is always 2, there is no change in the change
the equation is always positive
12
You can solve y = 12^x by:
you need a special formula
by inverting both sides of the equations
creating a differential equation
using the property of logarithms "log x^y = y log x"
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