Solving Two-Step Equations: Example 16

Topic

Solving Equations

Description

This math example demonstrates how to solve the equation ( x / 4 ) / 5 = 30. The solution involves multiplying both sides by 5, then multiplying by 4 to isolate x. The final result is x = 600.

Solving two-step equations is a fundamental skill in algebra. This collection of examples helps teach this topic by presenting various equation formats, including fractions and negative numbers. By working through these diverse problems, students can develop a comprehensive understanding of the steps required to solve different types of two-step equations.

Seeing 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 problem-solving strategies. This approach helps build confidence and proficiency in tackling a wide range of algebraic equations.

Teacher Script: "Now, let's look at this interesting example. We have an equation with nested fractions: ( x / 4 ) / 5 = 30. To solve this, we'll use inverse operations. First, we'll multiply both sides by 5 to eliminate the outer fraction. Then, we'll multiply by 4 to isolate x. Remember, when we perform an operation on one side of the equation, we must do the same on the other side to maintain balance. Can you walk me through the steps to solve this equation?"

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