Day 18 of 30
Solving one-step inequalities
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Learning Objective
Students will solve one-step inequalities through guided practice and application.
In this lesson, we'll explore solving one-step inequalities. Mathematical thinking develops logical reasoning and problem-solving abilities.
Solving equations means finding the value(s) that make the equation true. Goal: isolate the variable on one side. One-step: use one operation (x + 3 = 7 → subtract 3 → x = 4). Two-step: undo two operations (2x + 3 = 11 → subtract 3 → 2x = 8 → divide by 2 → x = 4). Multi-step: combine like terms, distribute, then solve. Key principle: whatever you do to one side, do to the other to keep equality. Solving equations lets you find unknowns in any situation!
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.
A mathematical question requiring analysis and solution
The result obtained by solving a problem
Instructions
Materials Needed
- Notebook
- Calculator (if needed)
- Graph paper
Solve for x: x + 7 = 15
Solve for y: 3y = 12
If 2x - 5 = 9, what is x?
Teaching Tip
For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply solving one-step inequalities to novel situations.