Solving Two-Step Equations: Example 17

Topic

Solving Equations

Description

This math example illustrates 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 = 14.

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 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.

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 in the future.

Teacher Script: "Let's examine this equation: 2x + ( -4 ) = x + 10. Notice how we have x terms on both sides and a negative number. To solve this, we'll use inverse operations and the principle of balancing equations. 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 tell me what our next step would be to isolate x completely?"

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