Problem Solving Loop

Introduction to problem solving loop:

Problem solving loop is the situation where there is a struck in betweeen the problem and thinking how to solve the loop that is that situation of difficulty to continue with the problem. Method for problem solving loop 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 problem then try to solve that problem step by step. Let us see problems that you feel loop may occur for problem solving loop. I like to share this Binomial Probability Problems with you all through my article.

Problem Solving Loop:

Example 1:

If four times of a number is equal to 48. Then find what exactly the number is?

Solution:

let us assume the unknown number as " X "

Given   4 * X = 48.

Move leftside term to right

Then          X = `48/4`

The unknown number x is

X = 12

Example 2:

Find the Coefficients combined in the given equation:

24x^2 + 7y + 5xy + 12

Solution:

Here Coefficient of x^2 is 24

Coefficient of y is 7

Coefficient of xy is 5

Example 3:

Evaluate 22 - (-3) × 4   + (-6) / 3

Solution :

= 22 - (-3) × 4 + (-6) / 3

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

= 22 + 12 - 2

= 22 + 10

= 32

Example 4:

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. Understanding completing the square problems is always challenging for me but thanks to all math help websites to help me out.

Problem Solving Loop:

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).