Elementary Math Terms

Introduction to elementary math terms

     Elementary math terms are the basic form of algebra having little or no proper information of mathematics beyond arithmetic. In arithmetic numbers and their arithmetical operations (such as +, −, ×, ÷) occur, in algebra one also uses symbols (such as x and y, or a and b) to denote numbers. Elementary Algebra can be distinguished from abstract algebra, a more advanced field of study.And now we see about the elementary math terms below in simple problems.(Source in wikipedia )

                              

Elementary math terms problems in solving the equations:

• Solve the given problem for  x: 1 - 3(x - 4) = 2(3x + 1) - 7

Solution:-

Now we allocate the  above equation:

1 - 3x +12 = 6x + 2 - 7

Collect like terms:

 -3x +13 = 6x - 5

Add 3x to both sides of the equal sign:

-3x +13 + 3x = 6x - 5 + 3x

13 = 9x - 5

Add 5 to both sides:

18 = 9x

Divide both sides by 9 in above equation :

2 = x

The final result of the given problem fro  x is 2.

• Solvethe given problem for y:   ax + by = c

solution:-

Step 1: Subtract ax from both sides:

Step 2:by = c - ax

Step 3:Divide both sides by b:

           C - ax
y =   -----------  
             b

The final result of the given problem are            C - ax
                                                                       y = -----------                                            
                                                                                b

• Solve the problem :X = 5*(20+5)

Solution:

Step 1:  5*(20+5) = 5*20+5*5

Step 2:  =100+25

               X  =125

The final result the given problem is X= 125

• Solve the problem :X= 9*(6 + 5)

Solution

Step 1: 9*(6 + 5) = 9*6 + 9 *5

Step2: 36 + 45 

Step 3: X =  81     

The final result of the given problem  is X = 81       

• Solve the problem : Y = 7+(4+6)

Solution:

Step 1:7+(4+6)=7+10

                  Y    =17

The final result of the given problem is Y =  17

The above discussed are the  element math terms like addition , subtraction ,Multiplication and division .

Practice problems in Elementary math terms :

• Solve algebraic equation       6(-2x - 3) - (x - 2) = -5(2x + 3) + 19  

Solution:    x = 10

• Subtract x³ – 3x² – 1 from 3x³ + 6x² – 4x – 8.

Solution:   2x³ + 9x² – 4x – 7