A Simple Expression for Math

Introduction to a simple expression for math:

A simple expression for math involves the process of solving simple algebraic expression. The simple algebraic expression in math is mainly used to calculate the unknown variable value with the basis of known values. Generally the variables represented in the simple math expression are nothing but an alphabetic letters. The following are the example problems for simple math expression with detailed solution.


Simple math expression example problems:


Example 1:

Solve the simple math expression.

-5(n + 2) = n + 9

Solution:

Given expression is
-5(n + 2) = n + 9

Multiplying the factors in left term
-5n - 10 = n + 9

Add 10 on both sides
-5n - 10 + 10 = n + 9 + 10

Grouping the above terms
-5n = n + 19

Subtract n on both sides
-5n - n = n + 19 -n

Grouping the above terms
-6n = 19

Multiply -1/6 on both sides
n = -`19/6 `

n = -`19/6` is the solution for the given expression

Example 2:

Solve the simple math expression.

-2(n - 3) - 4n - 1 = 3(n + 4) - n

Solution:

Given expression is
-2(n - 3) - 4n - 1 = 3(n + 4) - n

Multiplying the integer terms
-2n + 6 - 4n - 1 = 3n + 12 - n

Grouping the above terms
-6n + 5 = 2n + 12

Subtract 5 on both sides
-6n + 5 - 5 = 2n + 12 -5

Grouping the above terms
-6n = 2n + 7

Subtract 2n on both sides
-7n - 2n = 2n + 7 -2n

Grouping the above terms
-9n = 7

Multiply -1/9 on both sides
n = - `7/9`

n = - `7/9` is the solution for the given expression


Simple math expression practice problems:


1) Solve the simple math expression.

-7(n - 2) - 2n - 2 = 5(n + 2) - 5n

Answer: N = 0 is the solution for the given expression.

2) Solve the simple math expression.

-5(n - 3) - 2n - 3 = 2(n + 1) - 3n

Answer: n = `13/4` is the solution for the above given expression.