Math Example: Solving Two-Step Equations: Example 22

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x - (-3) = x - 4. The solution involves adding -3 to both sides and then subtracting x from both sides to isolate the variable. The final result is x = -7. This example demonstrates how to handle negative numbers and subtraction in two-step equations.

The collection of examples in this set is designed to teach the topic of solving two-step equations by presenting a variety of equation types. These examples cover different combinations of operations, including addition, subtraction, multiplication, and division, as well as equations involving negative numbers and fractions. By working through these diverse problems, students can develop a comprehensive understanding of the steps required to solve two-step equations and learn to apply these skills to various scenarios.

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 effective problem-solving strategies. This approach helps build confidence and flexibility in tackling different types of equations, preparing students for more complex mathematical challenges.

Teacher Script: "Now, let's examine this equation: 2x - (-3) = x - 4. Notice how we have a minus sign followed by a negative number in parentheses on the left side. What does this mean? That's right, it's equivalent to adding 3. So, our first step is to add 3 to both sides. Then, we'll subtract x from both sides to isolate our variable. Can you predict what our final answer will be? Remember, we're dealing with negative numbers here, so be careful with your calculations."

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