Math Example: Solving Two-Step Equations: Example 27

Topic

Solving Equations

Description

This math example demonstrates solving the equation 14(-15x) = 280. The solution involves first dividing both sides by 14 to isolate the expression -15x, then dividing by -15 to isolate x. The final result is x = -1/3. This example showcases how to handle multiplication with negative numbers and fractions 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 crucial 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: "Let's examine this equation: 14(-15x) = 280. What do you notice about the left side of the equation? That's right, we have a negative number multiplied by our variable x. Our first step is to divide both sides by 14 to isolate the -15x term. Then, we'll divide by -15 to isolate our variable. Remember, when we divide by a negative number, the sign of our answer changes. Can you work through the steps and tell me what our final answer will be? Pay close attention to how we handle the negative numbers in this problem."

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