Everything you need to teach, practice, assess, and review an entire unit on rational expressions and equations—fully aligned, fully worked, and ready to go from day one to test day.

This complete unit bundle covers every major skill in Unit 4 across eight lessons, from simplifying rational expressions all the way through graphing rational functions and solving real-world applications. With guided notes and practice for every lesson, two quizzes, a comprehensive test review with a full study hints reference sheet, and a complete unit test—all with answer keys included—this bundle gives you a cohesive, no-prep unit that takes students from first exposure to final assessment.

✅ This complete bundle includes:

Lesson Notes & Practice (with answer keys):

• Lesson 4.1 – Simplifying Rational Expressions
• Lesson 4.2 – Multiplying Rational Expressions
• Lesson 4.3 – Dividing Rational Expressions
• Lesson 4.4 – Adding and Subtracting Rational Expressions
• Lesson 4.5 – Rational Functions and Graphs
• Lesson 4.6 – Graphing Rational Functions
• Lesson 4.7 – Solving Rational Equations
• Lesson 4.8 – Applications & Modeling with Rational Equations

Quizzes (with answer keys):

• Quiz 4.1–4.4 – Simplifying, Multiplying & Dividing Rational Expressions
• Quiz 4.5–4.8 – Graphing & Solving Rational Equations

Bundle Exclusive: Unit Assessment Materials (with answer keys):

• Unit 4 Test Review – 25 problems spanning all four standards, plus a full Helpful Hints reference sheet covering general strategies, graphing characteristics, word problem formulas, common mistakes, and test-taking tips
• Unit 4 Test – 20 multiple choice questions, 2 multi-part constructed response problems, and a bonus real-world application problem

In this unit, students will:

✔️ Simplify rational expressions by factoring completely and identifying excluded values

✔️ Multiply and divide rational expressions using GCF, trinomial, and difference of squares factoring

✔️ Add and subtract rational expressions with unlike binomial denominators using the LCD

✔️ Identify and interpret key features of rational functions including vertical asymptotes, horizontal asymptotes, holes, intercepts, and domain

✔️ Graph rational functions and distinguish between holes and vertical asymptotes based on canceling vs. remaining factors

✔️ Solve rational equations by clearing fractions with the LCD and checking for extraneous solutions

✔️ Set up and solve real-world work rate problems involving workers, machines, and pipes

✔️ Apply the distance-rate-time relationship to upstream/downstream and wind resistance scenarios

✔️ Model and solve concentration and cost problems using rational equations

Key Concepts Covered:

• Excluded values and domain restrictions
• Simplifying, multiplying, and dividing rational expressions
• Adding and subtracting rational expressions with unlike denominators and LCD
• Vertical asymptotes, horizontal asymptotes, holes, intercepts, and domain in interval notation
• Connecting algebraic features of rational functions to their graphs
• Extraneous solutions and solution verification
• Work rate equation: 1/t₁ + 1/t₂ = 1/t_together
• Distance-rate-time: d = rt, with current and wind adjustments
• Average cost per unit and concentration problems as rational models

Perfect For:

• High school Algebra 2 or Advanced Algebra courses completing a full unit on rational expressions and equations
• Teachers who want every lesson, quiz, review, and test to be cohesive, standards-aligned, and ready to print
• Students who benefit from a scaffolded progression that builds from simplifying through graphing through real-world application
• Departments looking for a complete, classroom-ready unit that reduces planning time without sacrificing rigor or depth

From The Algebraic Edge, every resource in this bundle includes a student-facing document and a fully worked answer key—no prep needed beyond printing. Whether you use every piece in order or pull individual resources as needed, this bundle gives you the confidence of knowing your entire unit is covered, coherent, and classroom-ready from the very first lesson to the final test.