📝 Practice Worksheets
🔑 Key Concepts
- In these inequalities, first move the constant to the other side.
- Then multiply both sides by the denominator to isolate the variable.
- If the denominator is negative, the inequality symbol must reverse.
- After solving, graph the solution with the correct circle and shading.
💡 Main Idea
This lesson focuses on solving and graphing two-step inequalities where the variable appears in the numerator. A strong strategy is to move the constant first, then multiply both sides by the denominator to isolate the variable. Students also need to watch carefully for cases where multiplying by a negative denominator reverses the inequality sign.
🧠 Math Vocabulary
- Numerator: the top number in a fraction.
- Denominator: the bottom number in a fraction.
- Inequality: a mathematical statement using \( < \), \( > \), \( \le \), or \( \ge \).
- Reverse the Inequality: when multiplying or dividing both sides by a negative number, the symbol changes direction.
- Open and Closed Circle: graphing symbols that show whether an endpoint is excluded or included.
📚 What You Should Already Know
Students should already know how to solve one-step equations, use inverse operations, and graph basic inequalities on a number line. It also helps to understand when an inequality symbol must flip.
🚀 What Comes Next
After solving and graphing inequalities with a variable in the numerator, students can move on to multi-step inequalities with variables on both sides and more challenging word problems.
🧩 Embed This Video in Your LMS
Teachers can embed this YouTube video directly into Canvas, Google Classroom, Schoology, or another learning platform. Click below to show the embed code.