Math Example: Solving Two-Step Equations: Example 15

Topic

Solving Equations

Description

This example demonstrates solving the equation (2/3)x = 50. The solution process involves multiplying both sides of the equation by 3, then dividing both sides by 2 to isolate the variable. Through these steps, we find that x = 75.

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 fractions as coefficients.

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 fractional coefficients, 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 fifteenth example. We have the equation (2/3)x = 50. Notice how this equation involves a fractional coefficient. 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 fractional coefficients."

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