Math Example: Solving Two-Step Equations: Example 11

Topic

Solving Equations

Description

This example demonstrates solving the equation 14(15x) = 280. The solution process involves dividing both sides of the equation by 14, then dividing by 15 to isolate the variable. Through these steps, we find that x = 1 1/3.

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 multiple operations and parentheses.

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 nested 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 eleventh example. We have the equation 14(15x) = 280. Notice how this equation involves nested operations. How do you think we should approach this? 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 multiple operations."

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