Math Example: Solving Two-Step Equations: Example 6

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x - 3 = x - 4. The solution process involves adding 3 to both sides of the equation, then subtracting x from both sides to isolate the variable. Through these steps, we find that x = -1.

Solving two-step equations is a fundamental skill in algebra that builds upon simpler equation-solving techniques. This collection of examples helps students understand the process by presenting various equation types, allowing them to recognize patterns and develop effective problem-solving strategies. By working through these examples, students learn to apply inverse operations systematically to isolate the variable, even when dealing with equations where the variable appears on both sides and with negative numbers.

Exposure to multiple worked-out examples is crucial for students to fully grasp the concept of solving two-step equations. Each example reinforces the problem-solving process, helps students identify common patterns, and builds confidence in tackling different equation structures. By seeing various scenarios, including those with variables on both sides and negative numbers, students develop a more robust understanding of the underlying principles and become more adept at applying these skills to new problems.

Teacher Script: "Let's look at our sixth example. We have the equation 2x - 3 = x - 4. Notice how this equation has x terms on both sides and includes negative numbers. How do you think these elements might affect our approach? Let's work through it together, step by step. Remember, our goal is still to isolate x on one side of the equation. Think about which operations we should use first."

For a complete collection of math examples related to Solving Two-Step Equations click on this link: Math Examples: Two-Step Equations Collection.