Basic Algebra Review

Basic Algebra Review A significant branch of mathematics which consists of numbers, letters, and mathematical symbols in order to express mathematical expressions, equations and formulas is called as Algebra. In basic algebra different mathematical formulas and methods are used to solve the given equations. Some algebraic expression even consists of complex numbers, vectors etc. Example 1: Given is a basic algebraic equation, 8z 6 = 10. Solve the equation to get the value ofz. To solve for z, we have to add/subtract few terms on both sides of the equation. Add 6 on both sides to balance the equation 8z 6 + 6 = 10 +6 Cancel the -6 and +6 on the left side. Combining the like terms, we get: 8z = 16 Divide 8 on both sides of the equation. 8z/8 = 16/8 z = 2 The answer is: z = 2. Example 2: Given is a basic algebraic equation, 10y + 1 = y + 28 Solve the equation to get the valueof y. To solve for y, we have to add/subtract few terms on both sides of the equation. Subtract y on both sides to balance equation 10 y + 1 -y = y + 28 -y Now, combine the like terms, this gives 9y + 1 = 28 Subtract 1 on both sides 9y + 1 - 1 = 28 - 1 Combine the like terms 9y = 27 Divide 9 on both sides:9y/9= 27/9 The answer is: x = 3.