Math Example: Solving Two-Step Equations: Example 10

Topic

Solving Equations

Description

This example demonstrates solving the equation 3(x - 2) = 15. The solution process involves first dividing both sides of the equation by 3, then adding 2 to both sides to isolate the variable. Through these steps, we find that x = 7.

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 that involve parentheses, multiplication, and subtraction.

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 parentheses and different operations, 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 examine our tenth example. We have the equation 3(x - 2) = 15. Notice how this equation is similar to our previous example, but with a slight difference inside the parentheses. How do you think this might affect our solution process? Remember, our goal is still to isolate x. Let's work through this together, step by step, and see how we can handle equations with parentheses, multiplication, and subtraction."

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