An algebraical problem may be solved by expressing correctly the condition of the problem by means of signs
and symbols and by converting it to an algebraical equation.
The quantity which is to be found out in the problem is to be represented by x, then the conditions of the
problem to be expressed in terms of x. Thus an equation in x is obtained. Finally, solving this equation the
value of x is found.
If there are more than one or two variables or unknown quantities in the given algebraic problem then the
quantities are represented by x and y etc. Thus the simultaneous equations in x and y are obtained.
Examples of algebra 1 online: -
Question 1: - Divide 60 into 4 parts, such that if the first diminished by 3, second increased by 11, third
multiplied by 4 and the fourth divide by 2, the results will be all equal.
Solution: - Let the parts be a, b, c, d
Then according to the problem,
A + b + c + d = 60 … (1)
A – 3 = b + 11 = 4 c = d / 2 … (2)
Now from (2)
A – 3 = b + 11 = 4 c = d / 2 = k (suppose)
A – 3 = k, a = k + 3
B + 11 = k, b = k – 11
4 c = k, c = k / 4
D / 2 = k, d = 2 k
Putting in (1)
(k+3)+ (k-11) +k/4+2k=60
Other example is: - 2x+5 = 4