Math Example: Solving Two-Step Equations: Example 32

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation x / (4/5) = -30. The solution involves first multiplying both sides by 5 to eliminate the fraction in the denominator, then dividing by 4 to isolate x. The final result is x = -600. This example demonstrates how to handle complex 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, fractions, and parentheses. 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 look at this equation: x / (4/5) = -30. What do you notice about the left side of the equation? That's right, we have our variable x being divided by a fraction. Our first step is to multiply both sides by 5 to eliminate the fraction in the denominator. Then, we'll divide by 4 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 complex fraction and the negative number on the right side of the equation."

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