Solving Two-Step Equations: Example 19

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x + ( -4 ) = 8. The solution involves adding ( -4 ) to both sides and then dividing by 2 to isolate x. After performing these operations, we find that x = 6.

Solving two-step equations is a crucial skill in algebra that builds upon the foundation of one-step equations. This collection of examples helps teach this topic by presenting various equation formats, including those with negative numbers and coefficients. 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 essential 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 applications of algebra.

Teacher Script: "Let's examine this equation: 2x + ( -4 ) = 8. Notice how it's different from our previous examples because we don't have an x term on the right side. We'll still use inverse operations to solve it. First, what operation should we use to eliminate the ( -4 )? That's right, we'll add 4 to both sides. Then, what should we do to isolate x completely? Correct, we'll divide both sides by 2. Can you walk me through these steps and tell me what value we get for x?"

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