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Math 098: Intermediate Algebra for Calculus

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Math 098: Intermediate Algebra for Calculus

This text introduces a variety of algebraic techniques and functions that will prepare you for calculus. Focus will be placed on quadratic, rational, and radical functions with emphasis on algebraic techniques used to combine and simplify them. Techniques will include factoring, simplifying (adding/subtracting/multiplying/dividing) polynomials, rational and radical expressions, and relationships between equations and their respective functions and graphs.

Mathematics
Publisher
Highline College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 78 sections
  1. 01: Chapter 1 - Functions and Equations
  2. 1.01: Introduction to Functions and Equations
  3. 1.02: Relations and Functions
  4. 1.2E: Exercises
  5. 1.03: The Graph of a Function
  6. 1.04: Slope
  7. 1.05: Equations of Lines
  8. 1.06: The Point-Slope Form of a Line
  9. 1.07: Vertical Transformations
  10. 1.08: Horizontal Transformations
  11. 02: Chapter 2 - Polynomials
  12. 2.01: Polynomial Functions
  13. 2.02: Zeros of Polynomials
  14. 2.03: Factoring
  15. 2.3.01: Prelude to Factoring
  16. 2.3.02: Greatest Common Factor and Factor by Grouping
  17. 2.3.2E: Exercises
  18. 2.3.03: Factor Trinomials
  19. 2.3.3E: Exercises
  20. 2.3.04: Factor Special Products
  21. 2.3.4E: Exercises
  22. 2.3.05: General Strategy for Factoring Polynomials
  23. 2.3.5E: Exercises
  24. 2.3.06: Polynomial Equations
  25. 2.3.6E: Exercises
  26. 2.3.07: Review Exercises
  27. 2.04: Add and Subtract Polynomials
  28. 2.4E: Exercises
  29. 2.05: Multiply Polynomials
  30. 2.5E: Exercises
  31. 2.06: Extrema and Models
  32. 03: Chapter 3 - Rationals
  33. 3.01: Rational Expressions and Functions
  34. 3.02: Multiply and Divide Rational Expressions
  35. 3.2E: Exercises
  36. 3.03: Divide Polynomials
  37. 3.3E: Exercises
  38. 3.04: Add and Subtract Rational Expressions
  39. 3.4E: Exercises
  40. 3.05: Simplify Complex Rational Expressions
  41. 3.5E: Exercises
  42. 3.06: Solve Rational Equations
  43. 3.6E: Exercises
  44. 3.07: Rational Inequalities
  45. 04: Chapter 4 - Radicals
  46. 4.01: Use Radicals in Functions
  47. 4.1E: Exercises
  48. 4.02: Simplify Radical Expressions
  49. 4.2E: Exercises
  50. 4.03: Simplify Rational Exponents
  51. 4.3E: Exercises
  52. 4.04: Simplify Expressions with Roots
  53. 4.4E: Exercises
  54. 4.05: Add Subtract and Multiply Radical Expressions
  55. 4.5E: Exercises
  56. 4.06: Divide Radical Expressions
  57. 4.6E: Exercises
  58. 4.07: Solve Radical Equations
  59. 4.7E: Exercises
  60. 4.08: Use the Complex Number System
  61. 4.8E: Exercises
  62. 05: Chapter 5 - Quadratics
  63. 5.01: Solve Quadratic Equations Using the Square Root Property
  64. 5.1E: Exercises
  65. 5.02: Solve Quadratic Equations by Completing the Square
  66. 5.2E: Exercises
  67. 5.03: Solve Quadratic Equations Using the Quadratic Formula
  68. 5.3E: Exercises
  69. 5.04: Solve Quadratic Equations in Quadratic Form
  70. 5.4E: Exercises
  71. 5.05: Graph Quadratic Functions Using Properties
  72. 5.5E: Graph Quadratic Functions Using Properties (Exercises)
  73. 5.06: Graph Quadratic Functions Using Transformations
  74. 5.6E: Exercises
  75. 5.07: Solve Quadratic Inequalities
  76. 5.7E: Exercises
  77. 5.08: Solve Applications of Quadratic Equations
  78. 5.8.01: Exercises