Algebra 1 Basics - A Fun Animated Guide

Solving equations is at the heart of algebra.An equation is a mathematical statement that declares two expressions are equal.When we solve an equation like x plus 5 equals 12, we're finding what value of x makes the statement true.The key to solving any equation is to isolate the variable.We do this by performing the same operation to both sides of the equation. For our example, we subtract 5 from both sides.This gives us x equals 7. The variable is now isolated.To verify our solution, we substitute the value of x back into the original equation. 7 plus 5 equals 12, which is true. So our solution is correct.Let's solve a more complex equation: 2x minus 3 equals 9.First, we add 3 to both sides of the equation to isolate the term with the variable.This gives us 2x equals 12.Next, we divide both sides by 2 to isolate x.This gives us our answer: x equals 6.We can verify our solution by substituting x equals 6 back into the original equation.Two times six is twelve, and twelve minus three equals nine.Nine equals nine, which is true. So our solution is correct.Let's review the key principles of solving equations.First, always perform the same operation on both sides of the equation to maintain equality.Second, work step-by-step to isolate the variable.And finally, always verify your solution by substituting it back into the original equation.