Unit 32: Linear Equations and Inequalities

Day 8 of 30

Solving variables on both sides

6-8Mathematics

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Learning Objective

Students will solve variables on both sides through guided practice and application.

Today's Lesson

In this lesson, we'll explore solving variables on both sides. Mathematical thinking develops logical reasoning and problem-solving abilities.

A variable is a letter that represents an unknown number. We often use letters like x, y, or n. For example, in x + 3 = 7, the variable x represents the number 4. Variables let us write general rules and solve problems when we don't know all the numbers yet. They're essential in algebra and help us model real-world situations mathematically.

As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.

Take notes on key points and make connections to what you've already learned in previous lessons.

Key Terms
Problem

A mathematical question requiring analysis and solution

Solution

The result obtained by solving a problem

Activities
Instructions
1. Review the example problems for solving variables on both sides. 2. Identify the steps and strategies used. 3. Work through practice problems independently. 4. Compare solutions with a partner.
Materials Needed
  • Notebook
  • Calculator (if needed)
  • Graph paper
Practice Problems
1

Solve for x: x + 7 = 15

Hint: Subtract 7 from both sides.
2

Solve for y: 3y = 12

Hint: Divide both sides by 3.
3

If 2x - 5 = 9, what is x?

Hint: Add 5 to both sides, then divide by 2.

Teaching Tip

For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply solving variables on both sides to novel situations.

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