Solving Two-Step Equations: Example 20

Topic

Solving Equations

Description

This math example demonstrates how to solve the equation x / 2 + ( -4 ) = 8. The solution involves adding ( -4 ) to both sides and then multiplying by 2 to isolate x. After performing these operations, we find that x = 24.

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 fractions and negative numbers. 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 using inverse operations to maintain 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 interesting equation: x / 2 + ( -4 ) = 8. Notice how we have a fraction involving x and a negative number. To solve this, we'll use inverse operations. First, what should we do to eliminate the ( -4 )? That's right, we'll add 4 to both sides. Then, to isolate x, what operation should we use to undo the division by 2? Correct, we'll multiply both sides by 2. Can you walk me through these steps and tell me what value we get for x? How does this example differ from the previous ones we've seen?"

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