How to Study Successfully

Introduction to how to study successfully:
How to study successfully in math is to learn the  basic formulas and method of solving that math problems, then see the solved problems of that similar type. Now we get an idea of how to solve that math problem then try how to solve that problem step by step. how to study successfully is about a general math, so let us take problems from algebra. In this article let us see problems to how to study successfully.


How to study successfully:

Example 1:

Find the value of the expression 4x + 7 , if x = 7

Solution:

use x = 7 in the given expression 4x + 7

4x+ 7 = 4(7) + 7

= 28 + 7

X  = 35

Here the value of the expression is 35.

Example 2:

If four times of a number is equal to 16. Then find what exactly the number is?

Solution:

let us assume the unknown number as " X "

Given   4 * X = 16.

Move leftside term to right

Then          X = `16/4`

The unknown number x is

X = 4

Example 3:

Find the Coefficients combined in the given equation:

24x2 + 7y + 5xy + 12

Solution:

Here Coefficient of x2 is 24

Coefficient of y is 7

Coefficient of xy is 5

Example 4:

Evaluate 22 - (-3) × 4   + (-6) / 3

Solution :

= 22 - (-3) × 4 + (-6) / 3

= 22 - (-12) + (-2)

= 22 + 12 - 2

= 22 + 10

= 32


How to study successfully:


Example 5:

Find the value of the expression 25x+8 , if x= 3

Solution:

Substitute x = 3 in the given expression 25x+8

25+8 = 25(3)+8

= 75 + 8

X  = 83

Here the value of the expression is 83.

Example 6:

Solve: 8x - 2 = 118

Solution:

Given, 8x - 2 = 118

8x = 118 + 2

8x = 120

x = `120/8`

or    x = 15

Example 7:

Solve the following system:

x + y = 14 - (1)

4x - y = 11 - (2)

Solution:

Solve the (1) equation

y =14 -x

substitute in (2)equation

4x - (14 - x)=11

4x - 14 + x=11

5x=25

x=5

substitute value of x in (1)equation

5 + y=14

y=9

The solution is, (5, 9).