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**Chapter 12 Radicals and Connections to Geometry Review**

Hamilton-Wenham Regional High School Department of Mathematics Chapter 12 Radicals and Connections to Geometry Review Algebra A1 Mr. Brennan

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**Hamilton-Wenham Regional High School**

Department of Mathematics Chapter 12 Review Radicals and Connections to Geometry Learning Objectives: Chapter 12 Algebra A1 Mr. Brennan

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**Hamilton-Wenham Regional High School**

Department of Mathematics Chapter 12 Review Radicals and Connections to Geometry Learning Objectives: Chapter 12 Algebra A1 Mr. Brennan

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**Radicals and Connections to Geometry**

Chapter 12 Radicals and Connections to Geometry The review for chapter 12 has three types of slides Review material with goals and definitions Examples with solutions (22) Practice problems There are 57 practice problems for Chapter 12. Work out the problems as you encounter them. The answer to each question is displayed after each question.

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**12 Chapter Quick Links 12.1 Functions Involving Square Roots 12.2**

Operations with Radical Expressions 12.3 Solving Radical Expressions 12.4 Completing the Square 12.5 The Pythagorean Theorem and Its Converse 12.6 The Distance and Midpoint Formulas 12.7 Trigonometric Ratios: Exploring Data and Statistics 12.8 Logical Reasoning: Proof

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**Functions Involving Square Roots**

Review Lesson 12.1 Functions Involving Square Roots

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**Operations with Radical Expressions**

Review Lesson 12.2 Operations with Radical Expressions

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**Solving Radical Expressions**

Review Lesson 12.3 Solving Radical Expressions

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Review Lesson 12.4 Completing the Square

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**These are sample answers:**

Practice Solution These are sample answers: Choose a method to solve the quadratic equation. Explain your choice. 4. finding square roots because the equation is of the form 5. factoring because the quadratic can be easily factored 6. Using quadratic formula because the quadratic contains decimals.

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**The Pythagorean Theorem and Its Converse**

Review Lesson 12.5 The Pythagorean Theorem and Its Converse

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**Practice Solution Determine whether the given lengths**

are sides of a right triangle. Solution

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Review Lesson 12.6 The Distance and Midpoint Formulas

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**Practice Solution Find the distance between the two points.**

Round the result to the nearest hundredth if necessary.

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**Trigonometric Ratios: Exploring Data and Statistics**

Review Lesson 12.7 Trigonometric Ratios: Exploring Data and Statistics

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**Logical Reasoning: Proof**

Review Lesson 12.8 Logical Reasoning: Proof

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**Practice Solution Prove the theorem using the basic axioms of algebra.**

Given Definition of subtraction Addition axiom of equality. Comm. Axiom of addition. Associative axiom of addition Inverse axiom of addition. Identity axiom of addition.

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