Lesson 7 Homework 5.5 Answer Key

Blog Introduction:

Algebra can be a tricky subject, but it’s essential to succeed in higher-level math and sciences. Understanding algebra concepts is crucial, and practicing the problems will help you gain mastery. As a student, it’s understandable to experience difficulties with homework, but don’t worry. In this blog, we’ll share the answer key for Lesson 7 Homework 5.5, which will help you with your algebra practice.

Blog Body:

1. Simplifying Radical Expressions:

Algebra often involves dealing with radicals, which can appear complex at first glance. The first problem in Lesson 7 Homework 5.5 focuses on simplifying radical expressions. To tackle this, ensure you understand the rules for combining and simplifying radicals. The answer key serves as your guide, demonstrating how to subtract and simplify radicals, paying close attention to the index and like terms. By following these steps, you can simplify radical expressions efficiently.

2. Multiplying and Dividing Radical Expressions:

The second problem delves into the multiplication and division of radical expressions. This task requires a firm grasp of the order of operations (PEMDAS) and the rules for handling radicals. The answer key illustrates the step-by-step process of simplifying expressions by multiplying and dividing like terms while maintaining the integrity of the radicals. Learning from this key will empower you to confidently navigate these algebraic challenges.

3. Adding and Subtracting Fractions with Radicals:

Moving forward, the third problem involves adding and subtracting fractions with radicals. This skill is crucial for mastering algebraic manipulations. The answer key breaks down the process, emphasizing the importance of a common denominator and providing clear instructions on simplifying numerators and denominators before combining. Following these guidelines will enhance your ability to handle fractions containing radicals effectively.

4. Operations with Rational Expressions:

Rational expressions can appear daunting due to their combination of variables, fractions, and integers. The fourth problem requires factoring and canceling common factors to simplify expressions. The answer key showcases the necessary steps to factor, cancel, and simplify, all while avoiding common errors. Utilize this key to strengthen your skills in operating with rational expressions.

5. Simplifying Complex Fractions:

The final problem introduces complex fractions, a concept that might appear intricate at first glance. The answer key guides you through the process of simplifying complex fractions step by step. By tackling the numerator and denominator separately and applying fraction simplification techniques, you can conquer this challenge with confidence.


Algebra can be challenging at first, but with practice, you’ll gain mastery. The answer key for Lesson 7 Homework 5.5 will help you simplify radical expressions, multiply, divide, add and subtract fractions, operate with rational expressions, and simplify complex fractions. Remember that persistence and practice are essential in mastering algebra concepts. Keep on practicing, and soon, you’ll ace your algebra exam!

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