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Do you know algebra and calculus?

12 Questions - Developed by: - Updated on: 2006-10-01 - 10,938 taken - User Rating: 4.0 of 5 - 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:

using a calculator
by common factoring X out of the first two terms
isolating the variable X
applying the quadratic formula

2

Suppose you want to add 3x/5y and 2x/5y, you would:

add the numerators
multiply the numerators by the denominators of the other fraction
reduce the fractions to the lowest terms
invert the fractions and add

3

The equation 2x + 3x - 3 = y can be simplified by:

differentiating the equation
applying the quadratic formula
transposing the x terms
collecting like terms

4

The fraction (2X^2 + 3X)/X can be simplified by:

multiply the equation by X / X
finding the prime factors of the numerator
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 line
an exponential growth curve
a circle with a radius of two
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 integrating
by solving a system of linear equations
by finding prime factors
by factoring

7

In the equation y = 3x /(x-3), if x is three than:

there would be zero rate of change
you would need a differential equation to solve for the value of y
it is in impossibility because the equation has a singularity at X=3
there is a local maximum at x = 3

8

Using algebra, you can make sqrt(4x) into 2*sqt(X) because:

4 is a prime factor
you can differentiate the equation
you can break square root brackets into square roots of the factors
4 is a magic number

9

What would you get if you integrated y = 1 / x?

y = 1
y = 1 / x^2
y = ln x
y = x

10

If it takes 1 hr to make an acre east-west fence and 2 hr to make an acre north-south fence, how can you find the maximum area of the enclosed square of fences if you have 12 hr to set up fences?

use the quadratic formula
substitute to get an equation, let a derivative equal zero
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 rate of change is always 2, there is no change in the change
the equation is meaningless when dealing with second derivatives
the equation is always positive

12

You can solve y = 12^x by:

you need a special formula
using the property of logarithms "log x^y = y log x"
creating a differential equation
by inverting both sides of the equations

Comments (1)

Somebody (93213)

1286 days ago

You have a grasp of math

You have correctly answered 11 of 12 questions.

On average, 1117 of users who took the quiz gave 6.71 right answers.

AYYY, NOT TOO BAD! Btw, I learnt this in 2019 and I'm 18 in 2020!

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