The problem solving situations is defined as the process by which the new circumstances situations are collected and resolved. It begins with an solving of all the aspects of the situations problems are solved and ends when a satisfactory answer has been found. The problem solving situations are also functioned in every one life .And now let us see about the problem solving situations.
Problems Based on Problem Solving Situations in Algebra
Determine the given Factor: 144x2 – 81 in term using problem solving situations
Solution:
Step1: The given factor is 144x2 – 81
Step2 : The problem solving situation here is to make squares on both sides means we get the values of 144 = 12 and 81 = 9.
Like 144x2 =81x2
144 = 122
81 = 92
Step3: Arrange the terms 144x2 – 81 = (12x)2 – (9)2 this produced by the different of squares formula
Like, (a + b) (a - b) = a2 + b2 where a is denoted by 12x and b is denoted by 9
Step 4: Therefore the factor of 144x2 – 81 are (12x + 9) (12x – 9).
Find: 8x - 1 = 33 in term using problem solving situations
Solution:
We know about the problem solving situation is to add one on both side we get
8x - 1 + 1 = 31 + 1
After simplifying, 8x = 32.
The required solution are x = 4
One more Problem in Problem Solving Situations Using Algebra
In term using problem solving situations
3x - y = -16---------------------- (1)
2x+8y =-28---------------------- (2)
The above problem handles the problem solving situation as rearranging the equation one means we can get the value for y .
Step 1: The equation 1 can be written as,
3x - y = -16
y = 3x + 16--------------------- (3)
Now we can assume the value of y in equation 2 means and we get answer for x .
Step 2: Assume the y values in equation (2)
2x + 8(3x + 16) = -28
Step 3: Determine the above equation:
2x + 24x + 128 = -28
26x = -156
x = -6
Step 4: Substitute x values in 1st equation
3(-6) - y = -16
-18-y=-16
Y = -2
The required answer are x = -6, y = -2
The problems can be in term using problem solving situations .
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