Math Example: Solving Two-Step Equations: Example 24

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation x/2 - (-4) = 8. The solution involves adding -4 to both sides and then multiplying by 2 to isolate the variable x. The final result is x = 8. This example demonstrates how to handle fractions and negative numbers 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: x/2 - (-4) = 8. What do you notice about the left side of the equation? That's right, we have a fraction and a minus sign followed by a negative number in parentheses. Remember, subtracting a negative is the same as adding a positive. So, our first step is to add 4 to both sides. Then, we'll multiply both sides by 2 to isolate our variable. Can you work through the steps and tell me what our final answer will be? Pay close attention to how we handle the fraction and the negative number."

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