Unit 31: Algebraic Expressions and Variables

Day 29 of 30

Expression review and problem solving

6-8Mathematics

Content is AI-assisted and continuously improved through educator review

Learning Objective

Students will solve expression review and problem solving through guided practice and application.

Today's Lesson

In this lesson, we'll explore expression review and problem solving. Mathematical thinking develops logical reasoning and problem-solving abilities.

An expression is a combination of numbers, variables, and operations (like +, −, ×, ÷). Unlike an equation, an expression doesn't have an equals sign. Examples: 3x + 5, 2(4 + 1), or 7 − 2. Expressions represent a value, and we can simplify them by following the order of operations. Think of expressions as mathematical phrases, while equations are complete sentences!

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
Expression

A mathematical phrase combining numbers and operations

Problem

A mathematical question requiring analysis and solution

Activities
Instructions
1. Review the example problems for expression review and problem solving. 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 expression review and problem solving to novel situations.

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