Summit Math Algebra 1 Book 7: Radical Expressions and Equations

To help students succeed in learning math at school or at home, Summit Math books start with simple, foundational concepts and build on those ideas in small steps. Written by a math teacher with 16+ years of classroom experience, this series is designed to help students learn at different paces. Each book is split into 2 parts: 1) Guided Discovery Scenarios, and 2) Homework and Extra Practice Scenarios. The Guided Discovery Scenarios gradually develop new concepts, building on previously learned topics. The Homework and Extra Practice Scenarios improve your understanding and increase your ability to retain what you have learned. Each part has a separate Answer Key, which is included to promote learning. When you finish each scenario, you can check the Answer Key to see if you are ready to move on or if you need more guidance. Book description:

In this book, students learn that a root is the inverse operation for an exponent because the purpose of a root is to undo the operation of an exponent. After learning about square roots, cube roots, fourth roots, et cetera, students focus on radical expressions that involve square roots for the majority of the book. They learn how to simplify radical expressions and then they learn how to perform operations of addition, subtraction, multiplication and division. Later in the book, they learn how to solve radical equations. The Pythagorean Theorem is the final topic explored in this book. Students learn about its origin and then learn how to solve a variety of scenarios that involve right triangles. This book builds on Algebra 1: Book 5. Book 7 Contents:

Review exponents and square rootsRational and irrational numbersSimplifying radical expressionsAdding and subtracting radical expressionsMultiplying radical expressionsDividing radical expressionsSolving radical equationsUsing a disguised form of 1 to rationalize a denominatorThe Pythagorean TheoremCumulative ReviewAnswer Key