Algebra 1

Algebra 1 introduces students to the fundamental concepts of algebra, including variables, equations, and functions.

Understanding VariablesSolving EquationsFunctions and Their Graphs
Systems of EquationsInequalities and Their GraphsQuadratic Equations
Using Algebra in ShoppingAlgebra in Sports and GamesMaking Predictions with Patterns
Step-by-Step Problem SolvingChecking Your Work
Understanding Variab...Solving EquationsFunctions and Their ...Systems of EquationsInequalities and The...Quadratic EquationsUsing Algebra in Sho...Algebra in Sports an...Making Predictions w...Step-by-Step Problem...Checking Your Work
Basic Concepts

Solving Equations

What Is an Equation?

An equation is a mathematical statement that shows two things are equal, using the '=' sign. Algebra is all about finding the value of variables that make the equation true.

Steps to Solve Equations

  1. Isolate the variable: Get the variable alone on one side.
  2. Do the same thing to both sides: This keeps the equation balanced.
  3. Check your answer: Plug it back in to see if it works.

Why Is This Important?

Knowing how to solve equations helps you solve real-life problems, like figuring out how much money you need to buy something or how long a trip will take.

Common Mistakes

  • Forgetting to do the same thing to both sides.
  • Mixing up addition and subtraction or multiplication and division.

Examples

  • To solve \( x + 4 = 9 \), subtract 4 from both sides to get \( x = 5 \).

  • For \( 2x = 10 \), divide both sides by 2 to get \( x = 5 \).

In a Nutshell

Solving equations means finding the value of the variable that makes both sides equal.

Next
Functions and Their Graphs