# Developmental Maths Part 3

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Learn advanced maths using examples from the Monterey Institute. Created by Khan Academy.

Recommended that you have a good foundation in Developmental Maths Part 2 before taking this course.

###### Average Course Length

12 hours

###### Skill Level

Advanced

##### Pick a lesson

1: Graphings Systems of Equations

2: Testing a solution for a system of equations

3: Consistent and Inconsistent Systems

4: Independent and Dependent Systems

5: Graphical Systems Application Problem

6: u14 l1 t1 we INT Consistent System of Independent Equations t2

7: Graphical System of Inequalities

8: Testing Solutions for a System of Inequalities

9: System of Inequalities Application

10: Substitution Method

11: Substitution Method 2

12: Substitution Method 3

13: Addition Elimination Method 1

14: Addition Elimination Method 2

15: Addition Elimination Method 3

16: Addition Elimination Method 4

17: Systems of Three Variables

18: Systems of Three Variables 2

19: Three Equation Application Problem

20: Solutions to Three Variable System

21: Domain of a Rational Expression 1

22: Simplifying Rational Expressions Example 2

23: Multiplying and Simplifying Rational Expressions

24: Dividing and Simplifying Rational Expressions

25: Algebraic Expression Least Common Multiple

26: Adding Rational Expressions

27: Subtracting Rational Expressions

28: Simplifying First for Subtracting Rational Expressions

29: Adding and Subtracting Rational Expressions

30: Complicated Rational Expressions

31: Rational Equations

32: Extraneous Solutions to Rational Equations

33: Rate Problem Involving Rational Equations

34: Another Take on the Rate Problem

35: Solving for a Variable

36: Direct Inverse and Joint Variation

37: Proportionality Constant for Direct Variation

38: Direct Variation Application

39: Inverse Variation Application

40: Joint Variation Application

41: Approximating Square Roots

42: Simplifying Square Roots

43: Simplifying Square Roots Comment Response

44: Finding Cube Roots

45: Simplifying Cube Roots

46: Radical Equivalent to Rational Exponents

47: Radical Equivalent to Rational Exponents 2

48: Rational Exponents and Exponent Laws

49: More Rational Exponents and Exponent Laws

50: Multiply and Simplify a Radical Expression 1

51: Multiply and Simplify a Radical Expression 2

52: Adding and Simplifying Radicals

53: Subtracting and Simplifying Radicals

54: Multiplying Binomials with Radicals

55: Rationalizing Denominators of Expressions

56: Rationalizing Denominators with Conjugates

57: Solving Radical Equations

58: Extraneous Solutions for Radical Equations

59: Radical Equation Application Problem

60: Complex Numbers

61: Imaginary Roots of Negative Numbers

62: Adding Complex Numbers

63: Subtracting Complex Numbers

64: Multiplying Complex Numbers

65: Complex Conjugates Example

66: Dividing Complex Numbers

67: Simple Quadratic Equation

68: Completing Perfect Square Trinomials

69: Completing the Square to Solve Quadratic Equations

70: Quadratic Equations in Standard Form

71: Applying the Quadratic Formula

72: Complex Roots from the Quadratic Formula

73: Discriminant for Types of Solutions for a Quadratic

74: Application Problem with Quadratic Formula

75: Domain and Range of a Relation

76: Relations and Functions

77: Graphical Relations and Functions

78: Evaluating Functions

79: Graphing a Basic Function

80: Graphing a Quadratic Function

81: Graphing Radical Functions

82: Domain and Range of a Function Given a Formula

83: Domain of a Radical Function

84: Sum of Functions

85: Difference of Functions

86: Product of Functions

87: Quotient of Functions

88: Graphing Exponential Functions

89: Exponential Application

90: Logarithmic Equations

91: Logarithmic Equations 2

92: Graphing Logarithmic Functions

93: Solving Logarithmic Equations

94: Sum of Logarithms with Same Base

95: Difference of Logarithms with Same Base

96: Logarithm of a Power

97: Using Multiple Logarithm Properties to Simplify

98: Natural Logarithm with a Calculator

99: Graphing Natural Logarithm Function

100: u18_l3_t1_we4 Calculator for Powers of e

101: Calculator for Powers of 10

102: Calculator for Natural Logarithms

103: Calculator for Logarithms

104: Solving Exponential Equations

105: Solving Logarithmic Equations

106: Applying Logarithms

107: Applying Logarithms 2