Math Example: Solving Two-Step Equations: Example 7

Topic

Solving Equations

Description

This example demonstrates solving the equation 5x - 7 = 18. The solution process involves adding 7 to both sides of the equation, then dividing both sides by 5 to isolate the variable. Through these steps, we find that x = 5.

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 multiplication and subtraction.

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 different coefficients and constants, 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 seventh example. We have the equation 5x - 7 = 18. Notice how this equation is different from the previous ones we've seen. What do you think our first step should be? Remember, we want to isolate x on one side. Let's work through this together, step by step, and see how we can use inverse operations to solve this equation."

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