Solving Two-Step Equations: Example 18

Topic

Solving Equations

Description

This math example demonstrates the process of solving the equation 2x + ( -4 ) = x - 10. The solution involves subtracting ( -4 ) and x from both sides of the equation to isolate x. After performing these operations, we find that x = -6.

Solving two-step equations is a fundamental skill in algebra that builds upon simpler equation-solving techniques. This collection of examples helps teach this topic by presenting various equation formats, including those with negative numbers and variables on both sides. By working through these diverse problems, students can develop a comprehensive understanding of the steps required to solve different types of two-step equations and recognize the importance of maintaining balance in equations.

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 while introducing slight variations, allowing students to recognize patterns and develop problem-solving strategies. This approach helps build confidence and proficiency in tackling a wide range of algebraic equations, preparing students for more complex mathematical concepts and real-world problem-solving scenarios.

Teacher Script: "Now, let's look at this equation: 2x + ( -4 ) = x - 10. Notice how it's similar to our previous example, but with a slight change in the right-hand side. We'll use the same approach to solve it. First, we'll add 4 to both sides to eliminate the ( -4 ). Then, we'll subtract x from both sides to get all x terms on one side. Can you predict what our final step will be to find the value of x? How might the solution differ from our previous example?"

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