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