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Basic Algebra Formula
The general formulas used in algebra to solve algebraic equations and find the values of unknown variables are given here:
- a2 – b2 = (a – b)(a + b)
- (a+b)2 = a2 + 2ab + b2
- a2 + b2 = (a – b)2 + 2ab
- (a – b)2 = a2 – 2ab + b2
- (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
- (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
- (a + b)3 = a3 + 3a2b + 3ab2 + b3
- (a – b)3 = a3 – 3a2b + 3ab2 – b3
Basic Algebra Examples
Q 1: Find y, when, y + 15 = 30
Solution: y = 30 – 15
y = 15
Q 2 : Find x, when, 9x = 63
Ans. x = 63/9
x = 7
Q.3: If x/7 = 21, then find x.
Solution: Given x/7 = 21
or x = 21 x 7
x = 147
Practice Problems
Solve x+12 = 6
Find the value of z, if 23z + 3 = 10
Solve 2y – 8 = 5y
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