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CP Pre-Calculus Chapter 1 Prerequisite Skills Review
The following problems are aligned to concepts that you should have mastered in Algebra I and Algebra II. Please practice the sections that you need to review, because these skills are needed to be successful in Chapter 1 of Pre-calculus.
I. ORDER OF OPERATIONS--Use order of operations to simplify each expression
1. 2.
3. 4.
5. 6.
II. SIMPLIFYING EXPRESSIONS--Use distributive property to simplify.
7. 8.
9. 10.
11. 12.
13. 14.
III. ABSOLUTE VALUE EQUATIONS
15. 16.
17. 18.
IV. SOLVING INEQUALITIES--Graph to find the solution and write your answer in interval notation.
19. 2(x – 5) – 3(2x – 5) < 5x + 1 20.
21. 22.
23. 24.
25. 26.
27. 28.
6
5
4
3
2
1
-1
-2
-3
-4 -2 2 4 6
7
6
5
4
3
2
1
-1
-2
-6 -4 -2 2 4 6
29. 30.
31. 32.
33. 34.
35. 36.
V. SOLVING ABSOLUTE INEQUALITIES
37. 38.
39. 40.
VI. EQUATIONS OF LINES
Find the slope of each line.
41. (-3,6) and (4,-1) 42. and
43. 44.
Find the x-intercepts and y-intercepts of each line
45. 46.
Graph the following lines.
47. 48.
49. Graph a line through (3, 1.5) that is perpendicular to the graph of .
50. Graph a line through (-4,-2) with an undefined slope.
51. Graph the line perpendicular to the graph of that intersects it at its x-intercept.
52. Graph the line that passes through (-3,-1) and has a slope of .75.
53. Write an equation of a line using point slope given the point and rewrite in standard form.
54. Write an equation of a line using point slope given the point (– 2, – 4), m = 0.4 and rewrite in standard form.
55. Find an equation in standard form that passes through the points ( – 2, 3) and (– 2, 6).
56. Find an equation in standard form that passes through the origin and has slope 0.
57. Find an equation in standard form that has a y-intercept of 6 and is parallel to the x-axis.
58. Find an equation in standard form that has an x-intercept of – 4 and is perpendicular to the x-axis.
59. Find an equation in standard form that passes through (1,2) and perpendicular to y – 2x = 3.
VII. QUADRATIC EQUATIONS
Solve the following quadratic equations.
60. 61.
62. 63.
64. 65.
66. 66.
67. 68.
69. 70.
CP Pre-Calculus Chapter 1 Prerequisite Skills ANSWER KEY
1. 18 2. 1 27.
3. 9 4. -8 28. or
5. 45 6. -45 29.
7. 8. 30. or
9. 10. 31. or
11. 12. 32.
13. 14. 33. or
15. 16. 34. or
17. 18. 35. or
19. 20. 36. or
21. 22. 37. or
23. 24. 38. or
25. 26. 39. or
2
-2
-5 5
12
10
8
6
4
2
-2
-4
-6
-8
-10
-12
-10 -5 5
8
6
4
2
-2
-4
-6
-5 5 10
8
6
4
2
-2
-4
-6
-10 -5 5 10 15
6
4
2
-2
-4
-6
-5 5
4
2
-2
-4
-10 -5
40. or 50.
41. -1
42.
43. 0
44. 51.
45. x-int:
y-int:
46. x-int:
y-int:
47. 52.
48.
49.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
66.
67.
68.
69.
70.
CHAPTER 2 (2.1-2.5) PRE-REQUISTIE SKILLS
Multiplying Polynomials:
1. a. b. c.
2. a. b. c.
3. a. b. c.
4. a. b. c.
5. a. b.
c. d.
Factoring:
6. 7. 8.
9. 10. 11.
12. 13. 14.
15. 16. 17.
18. 19. 20.
21. 22. 23.
24. 25. 26.
27. 28. 29.
Solve by factoring:
30. 31. 32.
33. 34. 35.
Solve by completing the square:
36. 37. 38.
39. 40. 41.
Solve by using the quadratic formula:
42. 43. 44.
45. 46. 47.
Divide:
48. 49. 50.
51. 52.
Answers:
1. a) b) c)
2. a) b) c)
3. a) b) c)
4. a) b) c)
5. a) b)
c) d)
6. 7. 8.
9. 10. 11.
12. 13. 14.
15. 16. 17.
18. 19. 20.
21. 22. 23.
24. 25. 26.
27. 28. 29.
30. 31. 32. 33.
34. 35. 36. 37.
38. 39. 40. 41.
42. 43. 44. 45.
46. 47. 48. 49.
50. 51. 52.
PreCalculus Chapter 3 Pre-requisite Skills Review
Simplify using exponent rules
1. 2. 3. 4.
5.
Simplify
6. 7. 8. 9. 10.
11. 12.
Solve the radical equations13. 14. 15.
Solve each equation
16. 17. 18.
Factor19. 20. 21.
22. 23. 24.
______________________________________________________________________________Answers
1. 2. 3. 4. 5. 6.
7. 8. 9. 10. 11. 12.
13. x = 5 and x = 8 14. x = 4 15. x = 2
16. n = 64 and n = -64 17. b = 27 18. n = 24
19. 20. 21.
22. 23. 24.
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