1. 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

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

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

4. 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.

5. 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

6. Functions Involving Square Roots
Review
Lesson
12.1
Functions Involving Square Roots

7. Examples
Solution

8. Practice
Solution

9. Examples
Solution

10. Practice
Solution

11. Examples
Solution

12. Practice
Solution

13. Operations with Radical Expressions
Review
Lesson
12.2
Operations with Radical Expressions

14. Examples
Solution

15. Practice
Solution

16. Examples
Solution

17. Practice
Solution

18. Examples
Solution

19. Practice
Solution

20. Examples
Solution

21. Practice
Solution

22. Solving Radical Expressions
Review
Lesson
12.3
Solving Radical Expressions

23. Examples
Solution

24. Practice
Solution

25. Examples
Solution

26. Practice
Solution

27. Examples
Solution

28. Practice
Solution

29. Review
Lesson
12.4
Completing the Square

30. Examples
Solution

31. Practice
Solution

32. Examples
Solution

33. 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.

34. The Pythagorean Theorem and Its Converse
Review
Lesson
12.5
The Pythagorean Theorem and Its Converse

35. Examples
Solution

36. Practice
Solution

37. Examples
Solution

38. Practice Solution Determine whether the given lengths
are sides of a right triangle.
Solution

39. Review
Lesson
12.6
The Distance and
Midpoint Formulas

40. Examples
Solution

41. Practice Solution Find the distance between the two points.
Round the result to the nearest hundredth if necessary.

42. Examples
Solution

43. Practice
Solution

44. Examples
Solution

45. Practice
Solution

46. Examples
Solution

47. Practice
Solution

48. Trigonometric Ratios: Exploring Data and Statistics
Review
Lesson
12.7
Trigonometric Ratios: Exploring Data and Statistics

49. Examples
Solution

50. Practice
Solution

51. Examples
Solution

52. Practice
Solution

53. Logical Reasoning: Proof
Review
Lesson
12.8
Logical Reasoning: Proof

54. Examples
Solution

55. 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.

56. Examples
Solution

57. Practice
Solution

58. Examples
Solution

59. Practice
Solution