Math Example: Solving Two-Step Equations: Example 2

Topic

Solving Equations

Description

In this example, we solve the equation 2x + 4 = x - 10. The solution process involves subtracting 4 from both sides of the equation, then subtracting x from both sides. Through these steps, we find that x = -14.

Solving two-step equations is a critical 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.

Exposure to multiple worked-out examples is essential for students to fully comprehend 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, students develop a more nuanced understanding of the underlying principles and become more adept at applying these skills to new problems.

Teacher Script: "Now, let's look at our second example. We have the equation 2x + 4 = x - 10. Notice how this is similar to our first example, but with a slight difference. How do you think this difference might affect our solution? Let's work through it together, step by step. Remember, our goal is still to isolate x on one side of the equation."

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