Friday, August 10, 2012

Introduction to math answer generator

Introduction to Math Answer Generator:

            The generator in the sense, a author who solves the set of math problems and delivers the answer. Here we consider the generator produces algebra problems with detailed answer. Algebra is the main branch of mathematics use to find out the unknown variables with the help of known variables. In math, Algebra gives the basic ideas to solve the expressions, equations etc. In algebra the answer generator delivers the stepwise solution to problems.


Understanding 6th Grade Math Answers is always challenging for me but thanks to all math help websites to help me out.

Examples for Math Answer Generator:

Ex 1: Simplify the math expression 3(a -4) + 2b - 3(a -b -5) + 4
Sol :   Given the algebraic expression

3(a -4) + 2b - 3(a -b -5) + 4
Multiply factors.

= 3a - 12 + 2b -3a + 3b + 15 + 4
Grouping the terms

= 5b + 7
Ex 2:   Find the distance between the points below
 (1,3) and (7,11).
Sol :  The distance d between points (-1, -3) and (-7, -11) is given by

d = sqrt [(1 - 7) 2 + (3 - 11) 2]
Simplify.

d = sqrt (36 + 64) = 10
Ex 3 : Find the x intercept of the graph of the equation.
                      3x - 5y = 6
Sol :   Given the equation

3x - 5y = 9
To find the x intercept we set y = 0 and solve for x.

3x - 0 = 9
Solve for x.

x = 9 / 3 =3
The x intercept is at the point (3, 0).
Ex 4 : Determine the slope of the line
         8x - 8y = 16
Sol :  Given the line

8x - 8y = 16
Write the above equation in slope intercept form y = mx + b and identify the value of m the slope.

-8y = -8x + 16

y = x - 2
The slope is given by the coefficient of x, which is 1.
         Slope = 1
       
Practice Problems for Math Generator:

1) Find the x intercept of the graph of the equation.
             6x - 8y = 3
Ans : The x intercept is at the point (0.5, 0).

2) Evaluate f (4) - f (3)
            f(x) = 6x + 4
Ans :   6

Tuesday, January 18, 2011

LEARNING ABOUT DIFFERENCE QUOTIENTS

The Difference Quotient is an important topic of study under Calculus. It is defined as the function difference divided by the point difference.
It is given by the formula :

Delta F(P) / Delta P
= F(P+ Delta P)- F(P) /Delta P
= Delta F (P +Delta P) / Delta P

Where, Delta P is the difference between 2 points.
Difference quotient is also often known as Newton's Quotient.

Students need to learn the difference between Difference Quotient Derivative and as a Divided Difference.

Students can also learn about Higher order Difference quotients like the:
  • Second order
  • Third order
  • Nth order

Thursday, January 6, 2011

SOLVING EQUATIONS IN ALGEBRA

Algebra is a branch of Math which deals with study of rules of operations and concepts related to them like variables, equations, expressions etc,. Equations are an important topic of study under algebra.
Equations are values or expressions separated by an ' = ' (equal to) sign. In Algebra, equations consist of variables. Equations are of different types based upon the exponential value to the 'degree' to which they are raised to. They are :
  • Linear Equations
  • Differential Equations
  • Quadratic Equations
  • Radical Equations etc,.
Students can learn to solve simpler Linear Equations first. They are called 2 Step equations. They can first learn to Solve 2 step equations. These, as the name suggests, can be solved in 2 simple steps.
  • First step would involve grouping of Variables and constants
  • Second would be determining the value of the variable.
Students can also learn solving more complex equations like Solve 5x equations are involved. There might be 2 algebraic expressions forming a second or third degree equation to be solved.

Friday, September 17, 2010

convert 1 pound in dollars

Lets work some simple word problem to convert 1 pound in dollars below. We learn t how to convert 1 million to thousands earlier, does any body remember

If you are in United States of America .But you are from England. You get it in 350 pounds. If you are a visitor to England and to go to a nearby shopping center to buy a wine and you get to know the rate of wine is 200 dollars . how many dollars would you give to the shop keeper?

Solution:

Formula for converting pounds to dollar

1 pound 1.51 dollars

Multiplied by 350 for both sides

350 pounds 528.5 dollars

Now you give 350 pounds to shopper.

528.5 - 200 dollars = 328.5 dollars converted into pounds.

They will return to 328.5 dollars.

Answer:

The shopper gives to 328.5 USD.

Will come back again with some more interesting topic friends, until then keep smiling and let me know your comments on this. How about discussing on formula circumference of a circle shortly, do you like this idea?

Wednesday, September 15, 2010

Formula for conditional probability

I have worked on probability functions many times till date. We also had a conditional probability quiz too? Did you see that? Did you guys work on it?

Here below i have a formula which will help you learn conditional probability.




Get prepared with some sample problems and i will come back with some more questions on this. Guys i came across a site which helped me in unit circle trigonometry try it out.

Thursday, September 9, 2010

composite numbers 1-100

Friends do you know composite numbers 1-100 come on, can any body tell me those numbers? I have discussed on various numbers such as prime numbers, whole numbers and i have also briefed you with what is composite numbers.

Guys to learn composite numbers 1-100 we need to know what does composite number mean actually.

Composite numbers:- The numbers which can be divided by more than 1 but number except 1 and the number itself.

Composite numbers 1-100 are as shown below.

4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49,50,51,52,54,55,56,57,58,60,

62,63,64,65,66,68,69,70,72,74,75,76,77,78,80,81,82,84,85,86,87,88,90,91,92,93,94,95,96,98,99,100.......

One more important information i would like to give you is guys you can use simplifying radical expressions calculator when you simplify radical expressions.

Friday, September 3, 2010

multiples of 8

What if i ask you guys, can any body mention me the multiples of 8? Will you guys be able to answer me this question? I have worked on multiplication many times and of course you guys have liked it as well. Tell me, think over....

I will give you some options think over.. is 28 a multiple of 8 how about 36, 54 or 24? Did you get that? Well guys its 24... come on guys you don't have to think on it so much.

The multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80.

Guys these are the multiplies of 8, it will be a very useful post for you guys, just try understanding the concept.

How many of you fly kites? If you do work on a assignment i give you now.

Take the kite in your hand (any size) look at it carefully and try to find the area of a kite and let me know if you were able to find it out... i will come back with its answer.