Algebra A1 Mr. Brennan

Chapter 12 Radicals and Connections to Geometry

Review

Hamilton-Wenham Regional High School Department of Mathematics

Algebra A1 Mr. Brennan

Chapter 12 Review Radicals and Connections to Geometry

Hamilton-Wenham Regional High School Department of Mathematics

Learning Objectives: Chapter 12

Algebra A1 Mr. Brennan

Chapter 12 Review Radicals and Connections to Geometry

Hamilton-Wenham Regional High School Department of Mathematics

Learning Objectives: Chapter 12

The review for chapter 12 has three types of slides

1. Review material with goals and definitions2. Examples with solutions (22)3. 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.

Radicals and Connections to GeometryChapter

12

Quick LinksChapter

1212.1

12.2

12.3

12.4

12.5

12.6

12.7

12.8

Functions Involving Square Roots

Operations with Radical Expressions

Solving Radical Expressions

Completing the Square

Logical Reasoning: Proof

Trigonometric Ratios: Exploring Data and Statistics

The Pythagorean Theorem and Its Converse

The Distance and Midpoint Formulas

Lesson

12.1Functions Involving Square Roots

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Lesson

12.2Operations with Radical Expressions

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Lesson

12.3Solving Radical Expressions

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Lesson

12.4Completing the Square

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SolutionThese are sample answers:

Choose a method to solve the quadratic equation. Explainyour 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.

Lesson

12.5The Pythagorean Theorem and

Its Converse

Solution

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SolutionDetermine whether the given lengths are sides of a right triangle.

Lesson

12.6The Distance and

Midpoint Formulas

Solution

SolutionFind the distance between the two points. Round the result to the nearest hundredth if necessary.

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Lesson

12.7Trigonometric Ratios:

Exploring Data and Statistics

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Lesson

12.8Logical Reasoning: Proof

Solution

Solution

Prove the theorem using the basic axioms of algebra.

GivenDefinition 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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