Algebra Basics - Simple Visual Guide

Welcome to our exploration of variables and constants in algebra!In algebra, we use letters called variables to represent numbers we don't know yet.Think of variables as containers that can hold different numbers. Each container can hold any number, but only one number at a time.Constants are different from variables. They are fixed numbers that don't change in an equation.In this equation, x is our variable because it can change, while 5 and 12 are constants because they stay the same.Let's look at a real-world example. In this shopping equation, x represents the unknown number of items, while 2 dollars per item, 3 dollars tax, and 15 dollars total are our constants.Now that we understand variables and constants, we're ready to learn how to work with them in equations.In algebra, we work with four main operations that can be applied to both variables and constants.In algebra, equations work like a balance scale. Both sides must always be equal.When we have an equation like three x plus two equals fourteen, both sides must maintain their balance.To keep the equation balanced, we must perform the same operation on both sides. If we subtract two from both sides...The equation remains balanced, and we get three x equals twelve.This principle applies to all algebraic equations. Whatever we do to one side, we must do to the other to maintain balance.To solve this equation, we'll first identify each part.To isolate x, we subtract 5 from both sides of the equation.Now we can simplify both sides. Twelve minus five equals seven.Let's verify our solution by plugging seven back into the original equation.Let's review the key points for solving equations.Remember these steps and you'll be able to solve any similar equation!