📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A proportion is an equation that shows two ratios are equal.
- Cross multiplication can be used to rewrite a proportion as an equation.
- Distribute first when a cross product contains parentheses.
- Use inverse operations to isolate the variable.
💡 Main Idea
When solving a proportion with a variable inside an expression, start by cross multiplying. Then distribute, combine like terms if needed, and solve the resulting equation.
✏️ Worked Examples
🧠 Math Vocabulary
- Proportion: an equation showing that two ratios are equivalent.
- Cross Products: the products found by multiplying diagonally in a proportion.
- Distributive Property: multiplying a number by each term inside parentheses.
- Like Terms: terms that have the same variable raised to the same power.
- Inverse Operations: opposite operations used to undo each other and solve an equation.
📚 What You Should Already Know
Students should already know how to solve basic proportions, multiply across a proportion, distribute over parentheses, combine like terms, and solve one-step and two-step equations.
🚀 What Comes Next
After solving proportions with variables in expressions, students can apply these skills to scale drawings, similar figures, percent problems, and proportional word problems.
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