# Equations and Operations

Sub Topics

A statement of equality involving one or more letters is called an equation. Equations and operations is concerned with performing different operations on equations.

## Associative Property to Evaluate Expressions

Let A,B,C be three algebraic expression then (A + B) + C = A + (B + C) .It is called associative law of Addition. Let A,B,C be three algebraic expression then (A × B) × C = A × (B×C). It is called associative law of Multiplication. In this we will do study of this assosciative property and implementation of this property.

## Distributive Property to Evaluate Expressions

Let A,B,C be three algebraic expression then A × (B + C) = AB + AC. It is called distributive law of addition. Let A,B,C be three algebraic expression then A × (B - C) = AB – AC .It is called distributive law of subtraction. In this we will study of this distributive property and implementation of this property.

## Verbal Expressions as Algebraic Expressions and Equations

verbal expressions can be written as algebraic expressions and as equations. In this part we will understand how to do these conversions.

## One-step Linear Equations

To solve first step equation variable is put one side and rest of the values are put on other side.This is the way how we solve linear equations.

## Algebraic Expression with 3 Varibales

A polynomial in three or more variable, the sum of the powers of the variable each term is taken and the greatest sum is degree of the polynomial. In this we will study about algebraic expression with 3 variables.

## Order of Operations

A standard order is followed so that no two individual have different output after simplification.Order of operations have some rules that we will study in this part and also solve some problems related with order of operations.

## Commutative Property to Evaluate Expressions

Let A,B be two algebraic expression then A + B = B + A. It is called commutative law of Addition and A × B = B × A. It is called commutative law of Multiplication. we will study these two properties under the topic commutative property to evaluate expressions.

## Unit Conversion

Unit conversion provides conversion of one unit to another unit. There is different unit assignment for the measurement like if we want to measure the length of any object, we have to use units like centimeters, meters, inches etc. In this we will do discuss about conversion units and also solve problems related with different Units.

## Problems Involving Rates, Average Speed, Distance, and Time

It involves Problems related with rates, average speed, distance and time.

## Investigation of Geometric Patterns

There are various ways to analyze numbers. Here, we will study some of the geometric patterns which help in analyzing numbers systematically and calculate their values algebraically. We will discuss about ordering and counting of numbers, increasing and decreasing numbers, forward and backward counting, missing numbers etc.

## Related Tags

Introduction to Equations and operations , What are Equations and operations , Explain Equations and operations