📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A proportion shows that two ratios or fractions are equal.
- Cross products can help solve equations that contain fractions.
- Before solving, simplify expressions whenever possible.
- Multiplying both sides by the denominator can clear a fraction.
- This type of problem is a useful bridge from proportions into algebraic equation solving.
💡 Main Idea
Some algebra equations can be solved using the same reasoning students use with proportions. When an expression is divided by a number, you can think of the equation as a fraction equal to another fraction and use cross products or inverse operations to solve.
✏️ Worked Examples
🧠 Math Vocabulary
- Proportion: an equation showing two ratios or fractions are equal.
- Cross Products: the products found by multiplying diagonally in a proportion.
- Like Terms: terms with the same variable raised to the same power.
- Numerator: the top part of a fraction.
- Inverse Operations: opposite operations used to solve an equation.
📚 What You Should Already Know
Students should already know how to combine like terms, simplify fractions, solve one-step equations, and use cross products to solve proportions.
🚀 What Comes Next
This lesson connects proportion reasoning to algebra. Next, students can solve more advanced equations involving fractions, variables on both sides, distributive property, and proportional relationships.
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