I need to relearn algebra... Where should I start?

Taking the step to relearn algebra is a fantastic decision, and you're asking the most important question: "Where do I start?" Many people feel overwhelmed, but with a structured approach, you can rebuild your skills effectively and with confidence. The key is to build a strong foundation from the ground up, resisting the urge to jump into the middle where you last left off.

Step 1: The Pre-Flight Check (Master Pre-Algebra First)

Before you even think about solving for x, you must be absolutely solid on the fundamentals of arithmetic that algebra is built upon. Trying to do algebra without these skills is like trying to build a house on a foundation of sand. Take a moment to honestly assess your comfort with:

1. Integer Operations: Are you 100% confident adding, subtracting, multiplying, and dividing with both positive and negative numbers? A simple mistake like -5 - 3 = -8 can derail an entire algebra problem.
2. Fractions and Decimals: You must be comfortable with all operations involving fractions. Can you find a common denominator? Can you multiply (2/3) × (1/4) quickly and accurately?
3. The Order of Operations (PEMDAS/BODMAS): This is non-negotiable. The acronym stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Without following this order precisely, your answers will be incorrect. For example, 3 + 2 × 5 is 13, not 25. You must do the multiplication first.

If you feel shaky on any of these topics, your true starting point is here. Use free online video platforms or educational websites specifically for these pre-algebra topics until they feel automatic.

Step 2: The True Starting Line (Your First Steps in Algebra)

Once your foundation is solid, you can begin your algebra journey. The absolute best place to start is with Linear Equations in One Variable. This is the bedrock of algebra. Follow this progression:

1. One-Step Equations: Start with the simplest problems, like x + 7 = 12 or 4x = 20. The goal is to master the concept of inverse operations.
2. Two-Step Equations: This is the classic format, like 2x - 5 = 11. This combines two inverse operations and solidifies the correct order for solving.
3. Multi-Step Equations: This involves simplifying one or both sides first by combining like terms (e.g., 4x + 2 - x = 11 becomes 3x + 2 = 11) before you start solving.
4. Equations with Variables on Both Sides: This is the next level of complexity, like 5x - 3 = 2x + 9. Your goal here is to first move all the x terms to one side.

Mastering this sequence is the single most important part of relearning algebra. Do not move on until you can solve these types of problems reliably.

Step 3: Choosing Your Tools and Building a Plan

You need a structured plan to stay on track.

• Choose a Primary Resource: Don't bounce between dozens of websites with different teaching styles. Find one core resource and stick with it. This could be a well-regarded, comprehensive textbook (look for titles aimed at beginners or self-learners) or a structured online course on a reputable educational platform. A single, consistent voice will prevent confusion.
• Embrace Practice: Algebra is a skill, not a list of facts to be memorized. You learn it by doing. Your chosen resource must have plenty of practice problems, ideally with fully worked-out solutions so you can see the steps, not just the final answer. After each lesson, do the exercises.
• Create a Consistent Schedule: You'll make more progress by studying for 45 minutes three times a week than by cramming for four hours once a week. Consistency builds momentum and helps transfer knowledge to your long-term memory.
• Track Your Progress: Keep a notebook where you work through problems. When you get one wrong, try to identify exactly where your error occurred. Was it a simple arithmetic mistake? Did you use the wrong inverse operation? This active self-correction is one of the fastest ways to learn.

By starting with a solid pre-algebra foundation, moving methodically through linear equations, and sticking to a consistent plan with a primary resource, you will successfully relearn algebra and build a lasting, confident understanding of the subject.