1. Exam Review 2 nd Semester Algebra I

2. Topics Covered Essential Questions from First Semester Chapter 6 – Working with Radicals Chapter 7 – Solving Systems of Equations Chapter 8 – Quadratic Functions and Equations Chapter 9 – Exponential Functions Chapter 10 – Polynomial Functions and Equations Chapter 11 – Rational Functions and Equations Unit 12 – Probability and Trigonometry

3. Expected Information that could be on the final exam Order of operations Solving equations Writing the equation of a line

4. Chapter 5 – Connecting Algebra and Geometry Ratio and Proportion Scale Measurements Similarity Perimeter and Area Probability Geometric Probability

5. Chapter 6 – Working with Radicals The Pythagorean Theorem Rational and Irrational Numbers Calculating with Radicals Multiplying Monomials and Binomials Special Products

6. Chapter 7 – Solving Systems of Equations Solving systems of equations Substitution method Elimination method Graphing method Solving systems of inequalities

7. Chapter 8 – Quadratic Functions and Equations Graphing quadratic functions y -intercept x -intercepts vertex symmetry Solving quadratic equations The quadratic formula

8. Chapter 9 – Exponential Functions Graphing simple exponential functions Applications of exponential functions Simplifying expressions with exponents Positive exponents Negative exponents Scientific Notation

9. Chapter 10 – Polynomial Functions and Equations The Discriminant Factoring Solving quadratic equations Simplifying polynomial expressions Involving multiplication and/or division Involving addition and/or subtraction

10. Chapter 11 – Rational Functions and Equations Graphing simple rational functions Solving rational equations Simplifying rational expressions Involving multiplication and/or division Involving addition and/or subtraction

11. Unit 12 – Probability and Trigonometry Counting principle Permutations and combinations Probability Special right triangles Simple trigonometry Applications of trigonometry

13. Order of Operations

14. Solving Equations

15. Writing the Equation of a Line Find an equation of a line passing through the points (-1, 3) and (-2, -5).

17. Ratio and Proportion

18. 800 children a day ride on the roller coaster, but another 200 are turned away because they're not tall enough. What proportion of the total number of children are turned away?

19. Ratio and Proportion At Washington High School, two out of every three students usually buys a yearbook. How many yearbooks should the school plan for if there are 1460 students at the school?

20. Ratio and Proportion Methane is a compound consisting of a 1 : 4 ratio of carbon and hydrogen atoms. If a sample of methane contains 1565 atoms, how many carbon and hydrogen atoms are present?

21. Similarity A tree 48 feet high casts a shadow 36 feet long. If a flag pole casts a shadow 12 feet long, the height of the flag pole is

22. Perimeter and Area The perimeters of  ABC is 2 ft. The perimeter of  DEF is 15 in. These two figures are similar. Find the ratio of the corresponding side lengths. Find the ratio of the areas.

23. Probability A six sided die was rolled 60 times. 1 came up 12 times, 2 came up 9 times, 3 came up 15 times, 4 came up 8 times, 5 came up 10 times. What is the theoretical and the experimental probability of getting an even roll?

24. Geometric Probability Find the area of the shaded region.

25. Geometric Probability Find the area of the shaded region.

27. Pythagorean Theorem Find the missing leg length. 4 8

28. Pythagorean Theorem Is a triangle with side lengths 4, 5, 6 a right triangle? Justify your answer.

29. Rational or Irrational?

34. Simplify the radical

37. Add/Subtract

39. Multiply

41. Find the product. (2x + 1)(2x + 3)

42. Find the product.

43. Find the product.

44. Expand. (x + 2) 2

46. Solving systems of equations Substitution method

47. Solving systems of equations Elimination method

48. Solving systems of equations Graphing method

49. Solving systems of inequalities

51. Graphing quadratic functions State the vertex, the x - and y -intercepts. Show all work to find the vertex and the x - and y -intercepts.

52. Solving quadratic equations

55. The quadratic formula

58. Graphing simple exponential functions Determine whether the following is exponential growth or decay. Graph.

59. Graphing simple exponential functions Determine whether the following is exponential growth or decay. Graph.

60. Applications of exponential functions Alyisha is saving for her college tuition. She has $2000 in a savings account that pays 6% annual interest. Write an equation giving the amount of money in Alyisha’s account at any time in the future assuming she makes no deposits or withdrawals. How much money will Alyisha have in her account 4 years from now?

61. Simplifying expressions with exponents

63. Scientific Notation Write in scientific notation.

65. The Discriminant Determine the number of x -intercepts for each of the following.

66. Factoring Factor completely, if possible.

67. Solving quadratic equations

70. Simplifying polynomial expressions – (+ and - )

71. Simplifying polynomial expressions (  and  )

75. Graphing simple rational functions Graph

76. Graphing simple rational functions Graph

77. Solving rational equations

79. Simplifying rational expressions (  and  ) Simplify

80. Simplifying rational expressions (  and  ) Simplify

81. Simplifying rational expressions (  and  ) Simplify

82. Simplifying rational expressions (+ and - )