Math Example: Solving Two-Step Equations: Example 12

Topic

Solving Equations

Description

This example demonstrates solving the equation 12(x/5) = 144. The solution process involves dividing both sides of the equation by 12, then multiplying by 5 to isolate the variable. Through these steps, we find that x = 60.

Solving two-step equations is a crucial 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 and multiplication.

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, including those with fractions and multiple operations, 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 twelfth example. We have the equation 12(x/5) = 144. Notice how this equation involves a fraction within parentheses. 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 fractions and multiplication."

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