Day 12 of 30
Substitution practice problems
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Learning Objective
Students will solve substitution practice problems through guided practice and application.
In this lesson, we'll explore substitution practice problems. Mathematical thinking develops logical reasoning and problem-solving abilities.
Substitution is a method for solving systems of equations. Steps: 1) Solve one equation for one variable (get x = ... or y = ...). 2) Substitute that expression into the other equation. 3) Solve for the remaining variable. 4) Back-substitute to find the other variable. Example: x + y = 5 and 2x - y = 4 → from first: y = 5 - x → substitute into second: 2x - (5 - x) = 4 → solve: x = 3, then y = 2. Substitution works well when one variable is already isolated or easy to isolate!
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
Practice Problem 1: Apply what you learned today.
Practice Problem 2: Try a similar problem on your own.
Challenge: Can you create your own problem like the ones we practiced?
Teaching Tip
For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply substitution practice problems to novel situations.