Online College Algebra Tutoring and Homework Help

37.Two-Step Equations

• 37.1 Two-Step Equations with Variable on the Left
• 37.2 Two-Step Equations with Variable on the Right
• 37.3 Two-Step Equations with Fraction and Variable on Left
• 37.4 Two-Step Equations with Fraction and Variable on Right
• 37.5 Two-Step Equations with Negative Trick and Variable on Left
• 37.6 Two-Step Equations with Solution of Zero
• 37.7 1 = 1 - x

38.Equations with Fractions

• 38.1 Equations with Fractions: (-3 - 5b)/7 = -4
• 38.2 Equations with Fractions: 3/5 x + 4 = -1/5
• 38.3 Equations with Fractions (Different Denominators)

39.Equations with Variable on Both Sides

• 39.1 Equations with Variable on Both Sides (Put Variables together on Left)
• 39.2 Equations with Variable on Both Sides (Put Variables together on Right)
• 39.3 Equations with Variable on Both Sides (Variables Left and Numbers Right)
• 39.4 Equations with Variable on Both Sides (Variables Right and Numbers Left)
• 39.5 Equations with Variable on Both Sides (All Real Numbers or No Solution)

40.Equations with Variable on Both Sides and Fractions

• 40.1 Equations with Variable on Both Sides and Fractions (a/2 - 3 = 2a)
• 40.2 Equations with Variable on Both Sides and Fractions (5/2 b - 2 = b - 1/2)
• 40.3 Equations with Variable on Both Sides and Fractions (Unlike Fractions)
• 40.4 Equations with Variable on Both Sides and Fractions (Mixed Numbers)

41.Equations with Variable on Both Sides and Distributive

• 41.1 Equations with Variable on Both Sides and Fractions (Distributive Twice)
• 41.2 Equations with Variable on Both Sides and Fractions (Longer Problems)
• 41.3 Equations with Variable on Both Sides and Fractions (All Real / Null Set)
• 41.4 Equations with Variable on Both Sides and Fractions (Distributive)

42.Equations with Fraction Solutions

• 42.1 Equations with Fraction Solutions (10 - 9m = 3)
• 42.2 Equations with Fraction Solutions (Like Fractions in Equation)
• 42.3 Equations with Fraction Solutions (Unlike Fractions in Equation)
• 42.4 Equations with Fraction Solutions (Variable Both Sides and Distributive)

43.Literal Equations

• 43.1 Literal Equations: rt = d (Solve for r)
• 43.2 Literal Equations: j/2k = e (Solve for j)
• 43.3 Literal Equations: wx - v = z (Solve for m)
• 43.4 Literal Equations: d = ef + 2/3 gf^2 (Solve for g)
• 43.5 Literal Equations: (2 pi b1 b2 - n^5) / F = -10T x1 (Solve for b1)

44.Consecutive Integer Word Problems

• 44.1 Consecutive Integer Word Problems (Introduction)
• 44.2 Consecutive Integer Word Problems
• 44.3 Consecutive Integer Word Problems (Consecutive Even Integers)
• 44.4 Consecutive Integer Word Problems (Consecutive Odd Integers)
• 44.5 Consecutive Integer Word Problems (Sum is Negative)
• 44.6 Consecutive Integer Word Problems (The Greater of 2 Consecutive...)
• 44.7 Consecutive Integer Word Problems (Trick)

45.Geometry Word Problems

• 45.1 Perimeter Word Problems (More Than and Less Than)
• 45.2 Perimeter Word Problems (Consecutive Odd Integers)
• 45.3 Complementary OR Supplementary Angles Word Problems
• 45.4 Complementary AND Supplementary Angles Word Problems
• 45.5 Complementary AND Supplementary Angles Word Problems (Trick)

46.Interest Word Problems

• 46.1 Interest Formula
• 46.2 Interest Word Problems (...If she earned a total of $151…)
• 46.3 Interest Word Problems (...$472 more from his 28%...)
• 46.4 Interest Word Problems (Negative Interest)

47.Motion Word Problems

• 47.1 Rate x Time = Distance
• 47.2 Motion Word Problems (Leave from Same Place and Find Time)
• 47.3 Motion Word Problems (Leave from Same Place and Find Rate)
• 47.4 Motion Word Problems (Leave from Different Places)
• 47.5 Motion Word Problems (OVERTAKING and Find Time)
• 47.6 Motion Word Problems (OVERTAKING and Find Rate)

48.Solving and Graphing Inequalities

• 48.1 One-Step Inequalities
• 48.2 One-Step Inequalities (Multiply/Divide by Negative)
• 48.3 Two-Step Inequalities (Multiply/Divide by Negative)
• 48.4 Inequalities (Distributive and/or Variable on Both Sides)
• 48.5 Inequalities (Trick)

49.Combined Inequalities

• 49.1 Combined Inequalities (AND and OR)
• 49.2 Combined Inequalities (AND that Results in a Segment)
• 49.3 Combined Inequalities (Representing Segments)
• 49.4 Combined Inequalities (Same Direction AND'S and OR'S)
• 49.5 Combined Inequalities (U and Upside Down U)

50.Beginning Polynomial Equations

• 50.1 Beginning Polynomial Equations: (x - 9)(x + 8) = 0
• 50.2 Beginning Polynomial Equations: (3m + 4)(5m - 1) = 0
• 50.3 Beginning Polynomial Equations: x^2 - 9x + 18 = 0
• 50.4 Beginning Polynomial Equations: y^2 - 10y = 75
• 50.5 Beginning Polynomial Equations (Trinomials with Lead Coefficients)
• 50.6 Beginning Polynomial Equations (Difference of Two Squares)
• 50.7 Beginning Polynomial Equations: x^4 - 17x^2 + 16 = 0

51.Intermediate Polynomial Equations

• 51.1 Intermediate Polynomial Equations: 3x^2 - 15x - 12 = 0 (Factor out a 3)
• 51.2 Intermediate Polynomial Equations: 3x^2 - 15x - 12 = 0 (Divide by 3)
• 51.3 Intermediate Polynomial Equations: c^2 = 7c
• 51.4 Intermediate Polynomial Equations: 10y^3 - 22y = 12y^2
• 51.5 Intermediate Polynomial Equations (Factor by Grouping)

52.Rational Equations

• 52.1 Rational Equations: 5c/4 - 2c/3 = 7/6
• 52.2 Rational Equations: 7/2n - 1/4 = 2/n
• 52.3 Rational Equations: 5/3 - (b + 5)/b = 5/b
• 52.4 Rational Equations: Binomials and Trinomials in Denominators
• 52.5 Rational Equations: Binomials and Trinomials in Denominators (F.O.I.L.)

53.Radical Equations

• 53.1 Radical Equations (Square Roots)
• 53.2 Radical Equations (Cube Roots)

54.Taking the Square Root of Both Sides

• 54.1 Take the Square Root of Both Sides
• 54.2 One Step then Square Root of Both Sides
• 54.3 Take the Square Root of Both Sides (Binomial Squared)
• 54.4 One Step then Square Root of Both Sides (Binomial Squared)
• 54.5 One Step then Square Root of Both Sides (Binomial, Non-Perfect Square)
• 54.6 Take the Square Root of Both Sides (Fractions)
• 54.7 Take the Square Root of Both Sides (Advanced Fractions)

55.Completing The Square

• 55.1 Perfect Square Trinomials
• 55.2 Completing The Square (Even Middle Term)
• 55.3 Completing The Square (Even Middle Term and Root Doesn't Simplify)
• 55.4 Completing The Square (Even Middle Term and Root Simplifies)
• 55.5 Completing The Square (Odd Middle Term)

56.Quadratic Formula

• 56.1 Derive the Quadratic Formula
• 56.2 Quadratic Formula (Perfect Square in Radical)
• 56.3 Quadratic Formula (Set Equal to Zero)
• 56.4 Quadratic Formula (Set Equal to Zero and Reduce at the End)
• 56.5 Quadratic Formula (Double Roots and Null Set)

57.Advanced Literal Equations

• 57.1 Advanced Literal Equations: a(b - c) = 3d (Solve for c)
• 57.2 Advanced Literal Equations: g^2 = 2f/e (Solve for e)
• 57.3 Advanced Literal Equations: m/(x + y) = n (Solve for x)
• 57.4 Advanced Literal Equations: ax + bx = c (Solve for x)

58.Mixture Word Problems

• 58.1 Mixture Formula
• 58.2 30% acid and 18% acid. How much of each to get 300L of 21% acid?
• 58.3 How much water added to 800 mL of 5% sugar to get 1% sugar?
• 58.4 How much 15% solution added to 220 mL of 6% solution to get 11% solution?
• 58.5 800 mL of 5% booster. How much pure booster added to get 20% booster?
• 58.6 How much water must be evaporated…

59.Advanced Motion Word Problems

• 59.1 Given Rate There, Rate Back, Total Time. Find Distance There.
• 59.2 Given Rate for Part, Rate for Rest, Total Distance, Total Time. Find Distance for Part.
• 59.3 Given Rate There, Rate Back, Relationship between Times. Find Distance There.
• 59.4 Given Rate There, Rate Back, Total Time. Find Distance There. (Fraction)
• 59.5 OVERTAKING Problems (Find Distance)
• 59.6 Travelling Toward Each Other, What TIME Will Meet?

60.Advanced Inequalities

• 60.1 Advanced Inequalities: 3(1 - 4c) < 15 or 4(3c - 1) < 20
• 60.2 Advanced Inequalities: 2x + 3 < 5 and -2x - 3 < 5
• 60.3 Advanced Inequalities: 9 > 5 - 4x > -3
• 60.4 Advanced Inequalities: Fractions
• 60.5 Advanced Inequalities: AND with Trick

61.Absolute Value Equations

• 61.1 The Real Meaning of Absolute Value
• 61.2 Absolute Value Equations: I x I = 3
• 61.3 Absolute Value Equations: I 5 - 2x I = 11
• 61.4 Absolute Value Equations: 9 - 2 I 3m + 6 I = -3
• 61.5 Absolute Value Equations: 2 + I x + 1 I = 6
• 61.6 Absolute Value Equations: All Real Numbers and No Solution

62.Absolute Value Inequalities

• 62.1 Absolute Value Inequalities: Greater Than
• 62.2 Absolute Value Inequalities: Less Than
• 62.3 Absolute Value Inequalities: Dividing by a Negative
• 62.4 Absolute Value Inequalities: 5 - I 6 - 2c I < 1
• 62.5 Absolute Value Inequalities: I 2y - 5 I - 2 < 7
• 62.6 Absolute Value Inequalities: I 5 - (4d - 1) I > 6
• 62.7 All Real Numbers and No Solution

63.Advanced Polynomial Equations

• 63.1 Advanced Polynomial Equations (x + 5)(x + 4) = 6
• 63.2 Advanced Polynomial Equations (6c - 5)(c + 1) = -3
• 63.3 Advanced Polynomial Equations (a - 2)^2 = 9
• 63.4 Advanced Polynomial Equations (3b - 1)^2 -2b = 2
• 63.5 Advanced Polynomial Equations (Squared Term on Right and Lead Coefficient)
• 63.6 Advanced Polynomial Equations (Difference of Squares)
• 63.7 Advanced Polynomial Equations (Factor out GCF)

64.Advanced Rational Equations

• 64.1 Rational Equations (Common Denominator of 4x, Factor Trinomial)
• 64.2 Rational Equations (Common Denominator of 6n, Factor Trinomial with Lead Coefficient)
• 64.3 Rational Equations (Common Denominator of a - 1)
• 64.4 Rational Equations (Common Denominator is Product of Binomials)
• 64.5 Rational Equations (Reverse Order in Denominator and Switch Sign of Numerator)
• 64.6 Rational Equations (Common Denominator is Binomial Times Binomial Times Binomial

65.Advanced Radical Equations

• 65.1 Radical Equations: root (2a) + 4 = a (Polynomial Equation)
• 65.2 Radical Equations: root (7 - 3x) - 1 = x (Polynomial Equation)
• 65.3 Radical Equations: 5 - root (2y - 2) = y (FOIL with Negatives, Polynomial Equation)
• 65.4 Radical Equations: root (m + 3) - root m = 1 (FOIL with Roots)
• 65.5 Radical Equations: root (5a - 4) - root a = 2 (FOIL with Roots, Negatives, Polynomial Equation)
• 65.6 Radical Equations: Cube Root (Cube Binomial)

66.Advanced Completing The Square

• 66.1 Completing The Square (Divide by Coefficient of Squared Term)
• 66.2 Completing The Square (Divide by Coefficient of Squared Term, Result is Fraction Middle Term)
• 66.3 Completing The Square (Divide by Coefficient of Squared Term, Result is Fraction Middle Term (Not Se
• 66.4 Completing The Square (Divide by Coefficient of Squared Term, Result is Fraction Middle Term, Set to
• 66.5 Completing The Square (Trick)

67.Advanced Quadratic Formula

• 67.1 Advanced Quadratic Formula: 2d^2/7 + d = 6/7
• 67.2 Advanced Quadratic Formula: (x + 2)^2 - 6x(x - 1) = 5x - 2
• 67.3 Advanced Quadratic Formula: (3n + 8)/n + 7/n^2 = 5
• 67.4 Advanced Quadratic Formula: 3/(x - 5) - 2/(x - 4) = 1
• 67.5 Advanced Quadratic Formula: r/(r + 1) = 8r/(r + 6)
• 67.6 Advanced Quadratic Formula: a, b, and c have roots

68.Solving Quadratic Equations Using Method of Choice

• 68.1 Solving Quadratic Equations Using Factoring
• 68.2 Solving Quadratic Equations Using Completing the Square
• 68.3 Solving Quadratic Equations Using Quadratic Formula
• 68.4 Solving Quadratic Equations Using Factoring (GCF)
• 68.5 Solving Quadratic Equations Using Root of Both Sides

69.The Coordinate System

• 69.1 The Coordinate System (Origin, Axes, Quadrants, Ordered Pair)
• 69.2 The Coordinate System (Plot Multiple Points)
• 69.3 The Coordinate System (Give Coordinates of Multiple Points)

70.Domain and Range

• 70.1 Domain and Range Given Ordered Pairs
• 70.2 Domain and Range Given Relation (and Plot Points)
• 70.3 Write a Rule for the Given Relation
• 70.4 Domain and Range for the Relations y = I x I, y = x^2, etc.
• 70.5 Domain and Range for x = 3

71.Definition of a Function

• 71.1 Determine if Relation is Function and Draw Mapping Diagram
• 71.2 Vertical Line Test
• 71.3 Graph the Relation then Use the Vertical Line Test
• 71.4 Vertical Line Test (Advanced)
• 71.5 Meaning of D and R in Mapping Diagram

72.Function and Arrow Notation

• 72.1 Understanding Functions
• 72.2 Evaluating Functions
• 72.3 Evaluating Functions in Arrow Notation
• 72.4 Evaluating with Multiple Functions
• 72.5 Function Notation Overview
• 72.6 Evaluating Functions: g(y + 1) times f(y - 3)

73.Graphing Lines

• 73.1 Graphing Lines Using Chart (y = form)
• 73.2 Graphing Lines Using Chart (f(x) = form)
• 73.3 Graphing Lines Using Chart (y = form and fraction)
• 73.4 Graphing Lines Using Chart (i.e. 4x - 5y = 10)
• 73.5 Graphing Lines Using Chart (f(x) = x and x = 3)

74.The Intercept Method

• 74.1 X and Y Intercepts
• 74.2 Graphing Lines Using Intercept Method (i.e. y = 3x - 6)
• 74.3 Graphing Lines Using Intercept Method (i.e. 2x + 5y = 10)
• 74.4 Graphing Lines Using Intercept Method (i.e. y = 4x)

75.Slope of a Line

• 75.1 Slope of a Line (Positive and Negative Slope)
• 75.2 Slope of a Line (Reducing Slope)
• 75.3 Slope of a Line (Slope of Zero and No Slope)
• 75.4 Slope of a Line (Slope of x-axis and y-axis)

76.Slope Formula

• 76.1 Slope Formula
• 76.2 Slope Formula (Negatives and/or Reduce)
• 76.3 Slope Formula (Slope of Zero or No Slope)
• 76.4 Slope Formula (Why do y's Go on Top and x's Go on Bottom?)

77.Using Slope Formula to Find Missing Coordinates

• 77.1 Use Slope Formula to Find Coordinate (k is in Numerator)
• 77.2 Use Slope Formula to Find Coordinate (k is in Denomenator)
• 77.3 Use Slope Formula to Find Coordinate (m is a Fraction)
• 77.4 Use Slope Formula to Find Coordinate (No Slope)

78.Slope-Intercept Form

• 78.1 Graphing Lines Using Slope-Intercept Form (y = 4/5 x - 3)
• 78.2 Graphing Lines Using Slope-Intercept Form (y = - x - 1)
• 78.3 Graphing Lines Using Slope-Intercept Form (y = 1/3 x)
• 78.4 Graphing Lines Using Slope-Intercept Form (y = -2)
• 78.5 Graphing Three Lines Using Slope-Intercept Form

79.Converting to Slope-Intercept Form and Graphing

• 79.1 Convert to Slope-Intercept Form and Graph (Fraction Slope)
• 79.2 Convert to Slope-Intercept Form and Graph (Integer Slope)
• 79.3 Convert to Slope-Intercept Form and Graph (x - 3y = -12)
• 79.4 Convert to Slope-Intercept Form and Graph (3x + 2y = 0)
• 79.5 Why Can Vertical Line NOT be Written in Slope-Intercept Form?

80.Writing Equations of Lines in Standard Form

• 80.1 Standard Form (Ax + By = C)
• 80.2 Convert from Slope Intercept to Standard Form
• 80.3 Write Equation of Line in Standard Form (Given m and b)
• 80.4 Write Equation of Line in Standard Form (Given Graph)
• 80.5 Write Equation of Line in Standard Form (Given m and b, Fractions)
• 80.6 Write Equation of Line in Standard Form (Given Two Points, One is Y-Intercept)

81.Writing Equations of Lines Using the Point-Slope Formula

• 81.1 Point-Slope Formula
• 81.2 Point-Slope Formula (Given Point and Integer Slope)
• 81.3 Point-Slope Formula (Given Point and Fraction Slope)
• 81.4 Point-Slope Formula (Given Point and Slope of 0)
• 81.5 Point-Slope Formula (In Ax + By = C, C Ends up as 0)
• 81.6 Point-Slope Formula (Given Point and NO SLOPE)

82.Writing Equations of Lines Given Two Points

• 82.1 Write Equation of Line Given Two Points (Whole Numbers)
• 82.2 Write Equation of Line Given Two Points (Integers)
• 82.3 Write Equation of Line Given Two Points (Same X-Coordinate)
• 82.4 Write Equation of Line Given Two Points (Same Y-Coordinate)
• 82.5 Write Equation of Line Given Two Points (X- and Y-Intercepts)
• 82.6 Write Equation of Line Given Two Points (Point and ORIGIN)

83.Writing Equations of Parallel and Perpendicular Lines

• 83.1 Write Equation of Line (Parallel Lines)
• 83.2 Write Equation of Line (Perpendicular Lines)
• 83.3 Write Equation of Line (Parallel or Perpendicular, Intercepts)
• 83.4 Write Equation of Line (Parallel or Perpendicular, Horizontal or Vertical)
• 83.5 Write Equation of Line (Perpendicular, Slope Intercept Form)

84.Graphs of Quadratic Functions and Beginning Transformations

• 84.1 Quadratic Parent Graph (y = x^2)
• 84.2 Graph y = x^2 + 5 and State Domain and Range
• 84.3 Graph y = x^2 + 4x + 3 and State Domain and Range

85.Graphs of Quadratic Functions and Advanced Transformations

• 85.1 Graph y = 2x^2, y = 1/2 x^2, y = -x^2
• 85.2 Graph y = -3x^2 + 1
• 85.3 If Parabola is Flipped, etc., Find New Equation (No Graph Shown)

86.Understanding y - k = a(x - h)² Form

• 86.1 y - k = a(x - h)^2 Form (Introduction)
• 86.2 y - k = a(x - h)^2 Form (Up or Down, Vertex, Axis of Symmetry)
• 86.3 y - k = a(x - h)^2 Form (Match Each Equation with its Graph)
• 86.4 y - k = a(x - h)^2 Form (How to Shift Graph of y = x^2...)

87.Graphing Quadratic Equations in y - k = a(x - h)² Form

• 87.1 Graph and Find Axis of Symmetry: y = -3x^2
• 87.2 Graph Vertex, Intercepts, Find Axis of Symmetry: y = (x - 4)^2
• 87.3 Graph Vertex, Intercepts, Find Axis of Symmetry: y - 2 = -1/7(x + 7)^2
• 87.4 Graph Quadratic in y - k = a(x - h)^2 Form (No X-Intercepts)

88.Writing Quadratic Equations in y - k = a(x - h)² Form

• 88.1 Write in y - k = a(x - h)^2 Form (Vertex, Point, All Positive)
• 88.2 Write in y - k = a(x - h)^2 Form (Vertex, Point, Negatives)
• 88.3 Write in y - k = a(x - h)^2 Form (Vertex, Point, Intercepts)
• 88.4 Write in y - k = a(x - h)^2 Form (Vertex, Origin)

89.Graphing Quadratic Functions

• 89.1 Graph and Find Axis of Symmetry, Domain, Range, Max, Min: f(x) = x^2 + 6x - 7
• 89.2 Graph and Find Axis of Symmetry, Domain, Range, Max, Min: f(x) = -x^2 + 2x
• 89.3 Graph and Find Axis of Symmetry, Domain, Range, Max, Min: f(x) = 2x^2 - 12x + 13
• 89.4 Graph and Find Axis of Symmetry, Domain, Range, Max, Min: f(x) = 1/9(x - 9)^2

90.Sum and Product of Roots Formula

• 90.1 x^2 - (sum of roots)x + (product of roots)
• 90.2 Write Quadratic Equation with Roots 2 and 5
• 90.3 Write Quadratic Equation with Roots 2 + root 7 and 2 - root 7
• 90.4 Write Quadratic Equation with Roots -3 + 3i and -3 - 3i
• 90.5 Write Quadratic Equation with Roots -11/4 and 9/4
• 90.6 Write Quadratic Equation with Roots (5 + 9i)/7 and (5 - 9i)/7
• 90.7 Write Quadratic Equation with Roots (6 + root 10)/2 and (6 - root 10)/2
• 90.8 Write Quadratic Equation with Roots (-4 + 8i root 2)/3 and (-4 - 8i root 2)/3

91.Writing Quadratic Functions

• 91.1 f(x) = a[x^2 - (sum of roots)x + (product of roots)]
• 91.2 Write Quadratic Function: Vertex (3, 4) x-intercepts 1 and 5
• 91.3 Write Quadratic Function: Maximum 7, Zeroes -8 and 6
• 91.4 Write Quadratic Function: Vertex (-4,6), One Zero is -3
• 91.5 Write Quadratic Function: y-intercept 5, x-intercepts 2 and 15
• 91.6 Write Quadratic Function: Range {y: y > -6}, x-intercepts -13 and -7

92.Solving Systems by Graphing

• 92.1 Solving Systems by Graphing (Y is Isolated)
• 92.2 Solving Systems by Graphing (Horizontal and Vertical Lines)
• 92.3 Solving Systems by Graphing (Y is Not Isolated)
• 92.4 Solving Systems by Graphing (Null Set or Equation of Line)

93.Solving Systems by Addition

• 93.1 Solving Systems by Addition
• 93.2 Solving Systems by Addition (Multiply One of the Equations)
• 93.3 Solving Systems by Addition (Multiply Both of the Equations)
• 93.4 Solving Systems by Addition (Null Set or Equation)

94.Solving Systems by Substitution

• 94.1 Solving Systems by Substitution
• 94.2 Solving Systems by Substitution (Isolate One of Variables)
• 94.3 Solving Systems by Substitution (Null Set or Equation)
• 94.4 Solving Systems by Substitution (All Variables Have Coefficients)

95.Number and Value Word Problems

• 95.1 Number Word Problems (Solve System by Substitution)
• 95.2 Value Word Problems (Solve System by Addition)
• 95.3 Total Value Formula
• 95.4 Coin Word Problems (Solve System by Addition)
• 95.5 Value Word Problems (Solve System by Substitution)
• 95.6 Supplementary Angles Word Problem (Solve by Substitution)

96.Wind and Current Word Problems

• 96.1 Headwind Tailwind Demo
• 96.2 Headwind Tailwind, Upstream Downstream (Different Times)
• 96.3 Headwind Tailwind, Upstream Downstream (Same Time is t)
• 96.4 Upstream Downstream (Return Trip Took 4 Times as Long)

97.Systems of Equations with Fractions and Method of Choice

• 97.1 Fraction Review
• 97.2 Solve System by Substitution (Fractions)
• 97.3 Solve by Substitution (Isolate Variable, Fractions)
• 97.4 Solve System by Addition (Multiply One Equation, Fractions)
• 97.5 Solve System by Addition (Multiply Both Equations, Fractions)
• 97.6 Solve Same System by Graphing, Addition, and Substitution

98.Distance Formula

• 98.1 Distance Formula
• 98.2 Distance Formula (All Positives in Coordinates)
• 98.3 Distance Formula (Negatives in Coordinates, Integer or Radical Solution)
• 98.4 Distance Formula (Negatives and Radicals in Coordinates)

99.Midpoint Formula

• 99.1 Midpoint Formula
• 99.2 Midpoint and Average
• 99.3 Midpoint Formula (Positives, Integer Coordinates in Answer)
• 99.4 Midpoint Formula (Negatives, Integer Coordinates in Answer)
• 99.5 Midpoint Formula (Negatives, Fraction Coordinates in Answer)
• 99.6 Midpoint Formula (Given Midpoint, Endpoint, Find Endpoint)

100.Equation of a Circle

• 100.1 Equation of a Circle
• 100.2 Write Equation of Circle Given Center and Radius
• 100.3 Write Equation of Circle Given Center and Radius (or Graph)
• 100.4 Find Center, Radius of Circle Given Equation
• 100.5 Find Center, Radius of Circle Given Equation (Center on Axis)
• 100.6 Find Center, Radius of Circle Given Equation (Complete the Square)
• 100.7 Write Equation of Circle Given Center and Circumference

101.Negative Exponents

• 101.1 Negative Exponents (Introduction)
• 101.2 Negative Exponents (Power Rule)
• 101.3 Negative Exponents (Product Rule)
• 101.4 Negative Exponents (Quotient Rule)
• 101.5 Negative Exponents (Power Rule with Two Variables)
• 101.6 Negative Exponents (Quotient Rule with Two Variables)
• 101.7 Negative Exponents (Exponent of Zero)
• 101.8 Negative Exponents (c^0/d^3)^(-1)
• 101.9 Negative Exponents (Why 1/d^(-3) can be Written as d^3)

102.Numerical Bases with Negative Exponents

• 102.1 Numerical Bases with Negative Exponents (Product Rule)
• 102.2 Numerical Bases with Negative Exponents (5/3^(-1))
• 102.3 Numerical Bases with Negative Exponents (Quotient Rule)
• 102.4 Numerical Bases with Negative Exponents (Power Rule)
• 102.5 Numerical Bases with Negative Exponents (Power Rule with Multiple Terms)
• 102.6 Numerical Bases with Negative Exponents (Fraction to a Negative Power)
• 102.7 Numerical Bases with Negative Exponents (Exponent of Zero)

103.Multiplying and Dividing with Negative Exponents

• 103.1 Negative Exponents (Quotient Rule with Coefficients)
• 103.2 Negative Exponents (Power Rule with Coefficient)
• 103.3 Negative Exponents (Product Rule with Coefficients)
• 103.4 Negative Exponents (Fraction with Coefficients)
• 103.5 Negative Exponents (Power Rule and Adding Like Terms)

104.Multiplying and Dividing with Scientific Notation

• 104.1 Scientific Notation
• 104.2 Scientific Notation (Negative Exponents and Product Rule)
• 104.3 Scientific Notation (Negative Exponents and Product Rule, Decimal Ends up Greater Than 10)
• 104.4 Scientific Notation (Negative Exponents and Quotient Rule)
• 104.5 Scientific Notation (Negative Exponents and Quotient Rule, Decimal Ends up Less Than 1)
• 104.6 Scientific Notation (Negative Exponents and Power Rule)
• 104.7 Scientific Notation (Negative Exponents and Power Rule, Decimal Ends up Greater Than 10)
• 104.8 Scientific Notation (Negative Exponents and Product/Power Rule, Decimal Ends up Greater Than 10)
• 104.9 Scientific Notation (Light from the Sun to the Earth)

105.Rational Exponents

• 105.1 Rational Exponents (Explanation of Exponents of 1/2 or 1/3)
• 105.2 Rational Exponents (Exponents of 1/2 or 1/3)
• 105.3 Rational Exponents (Exponents of -1/2 or -1/3)
• 105.4 Perfect Cubes
• 105.5 Rational Exponents (Explanation of Exponent of 2/3)
• 105.6 Rational Exponents (Exponents such as 3/4)
• 105.7 Rational Exponents (Exponents such as -2/3)
• 105.8 Rational Exponents: - 64^(1/3)
• 105.9 Rational Exponents: (-8)^(-2/3)

106.Numerical Bases with Rational Exponents

• 106.1 Numerical Bases with Decimal Exponents
• 106.2 Numerical Bases with Rational Exponents: (1000^10)^(1/15)
• 106.3 Numerical Bases with Rational Exponents: (81/121)^(-1/2)
• 106.4 Numerical Bases with Rational Exponents: 3^(1/3) x 9^(1/3)
• 106.5 Numerical Bases with Rational Exponents: 6^(2/5) / 36^(4/5)
• 106.6 Numerical Bases with Rational Exponents: 5^(-2/3) x 5^(1/6)

107.Writing Radicals in Exponential Form

• 107.1 Write Radicals in Exponential Form: (7th root of 6)^4
• 107.2 Write Radicals in Exponential Form: Cube root of [49p^-3 q]
• 107.3 Write Radicals in Exponential Form: 4th root of [32a^10 b^12]
• 107.4 Write Radicals in Exponential Form: 1 over root [x^(-4)y^7]
• 107.5 Write Radicals in Exponential Form: 9th root of 16 over cube root of 2
• 107.6 Write Radicals in Exponential Form: 5th root of 3 times 10th root of 3
• 107.7 Write Radicals in Exponential Form: Cube root of 100 times root 10

108.Solving Equations with Rational Exponents

• 108.1 Equations with Rational Exponents: x^(1/2) = 6
• 108.2 Equations with Rational Exponents: n^(-1/4) = 2, x^(3/2) = 27
• 108.3 Equations with Rational Exponents: 3y^(-2/3) = 75
• 108.4 Equations with Rational Exponents: (x + 2)^(2/3) = 16
• 108.5 Equations with Rational Exponents: (1 - x)^(3/2) - 3 = 5
• 108.6 Equations with Rational Exponents: Fraction to Negative Power

109.Radical Exponents

• 109.1 Radical Exponents (Quotient Rule)
• 109.2 Radical Exponents (Product Rule)
• 109.3 Radical Exponents (Power Rule and Pi)
• 109.4 Radical Exponents: 3^x = 1/27
• 109.5 Radical Exponents: 100^(x + 1) = 10^(9 - 5x)
• 109.6 Radical Exponents: 16^x = root 2
• 109.7 Radical Exponents: Power Rule with FOIL

110.Composite Functions: f(g(x)) and g(f(x))

• 110.1 f(g(x)) and g(f(x)): Easy Functions (Numbers as x)
• 110.2 f(g(x)) and g(f(x)): More Difficult Functions (Numbers as x)
• 110.3 f(g(x)) and g(f(x)): Find f(g(x)) and g(f(x))
• 110.4 f(g(x)) and g(f(x)): Functions have Rational Exponents

111.Inverse Relations

• 111.1 Find Inverse Given Chart of x's and y's
• 111.2 Find Inverse Given Set of Ordered Pairs
• 111.3 Find Inverse Given Linear Equation and Graph
• 111.4 Which Graph Represents a Relation and its Inverse?
• 111.5 Find Inverse of Quadratic Equation, Graph, Domain, Range
• 111.6 Find Inverse of y = x^3

112.Inverse Functions

• 112.1 Inverse Functions (Graph Equation, Determine if Function, Find and Graph Inverse, Determine if Funct
• 112.2 Inverse Functions (Horizontal Line Test Introduction)
• 112.3 Inverse Functions (Horizontal Line Test Problems)
• 112.4 Graph f(x) = -6x + 6, Determine if it has Inverse and Graph
• 112.5 Graph f(x) = x^2 - 7, Determine if it has Inverse and Graph
• 112.6 If f and g are Inverse Functions, then f(g(x)) = g(f(x))
• 112.7 Determine if Functions are Inverses Using f(g(x)) = g(f(x))
• 112.8 Graph f(x) = I x I, Determine if it has Inverse and Graph

113.Evaluating Logarithms and Logarithmic vs. Exponential Form

• 113.1 Converting from Exponential to Logarithmic Form
• 113.2 Write Logarithm in Exponential Form
• 113.3 Write Exponent in Logarithmic Form
• 113.4 Evaluate Logarithms (log base 7 of 49)
• 113.5 Evaluate Logarithms (log base 8 of 4, log base 1/6 of 216, log base 7 of 7 root 7)
• 113.6 If log base b of N = k, then b^k = N (and vice-versa)
• 113.7 Evaluate 2^(log base 2 of 10)

114.Solving Logarithmic Equations

• 114.1 Solve Logarithmic Equations: log base 4 of x = 3
• 114.2 Solve Logarithmic Equations: log base 9 of x = -3/2
• 114.3 Solve Logarithmic Equations: log base x of 49 = 2
• 114.4 Solve Logarithmic Equations: log base x of 6 = 1/3
• 114.5 Graph f(x) = 2^x and Determine if it has an Inverse
• 114.6 Find the Inverse of f(x) = log base 5 of x
• 114.7 Solve Logarithmic Equations: log base 2 of (log base 3 of x) = 0

115.Logarithm Rules and Properties

• 115.1 log base b of MN = log base b of M + log base b of N
• 115.2 log base b of M/N = log base b of M - log base b of N
• 115.3 log base b of M^k = k log base b of M
• 115.4 Expand: log base 4 of M^6 and log base 3 of R/S
• 115.5 Expand: log base 10 of M^4 N^3
• 115.6 Expand: log base 4 of the cube root of (x^5 over y^2)
• 115.7 Condense: 3 log base 7 of p + log base 7 of q
• 115.8 Condense: 7 log base 5 of p - log base 5 of q + 3

116.Evaluating Logarithms by Condensing or Expanding

• 116.1 Evaluate: log base 8 of 16 + log base 8 of 4
• 116.2 Evaluate: 2 log base 5 of 2 - log base 5 of 100
• 116.3 If log base 10 of 7 = 0.845 and log base 10 of 11 = 1.041, find log base 10 of 77, etc.
• 116.4 If log base 10 of 7 = 0.845 and log base 10 of 11 = 1.041, find log base 10 of 490
• 116.5 Understanding Logarithms
• 116.6 If log base 6 of 9 = 1.226, Find log base 6 of 54, etc.

117.Solving Advanced Logarithmic Equations

• 117.1 log base 10 of x = 1/2 log base 10 of 36 + log base 10 of 4
• 117.2 2 log base 6 of x - log base 6 of 27 = log base 6 of 3
• 117.3 log base 3 of (x + 10) - log base 3 of (x - 1) = log base 3 of 12
• 117.4 log base 5 of x + log base 5 of (x + 4) = 1
• 117.5 log base 10 of (x - 9) + log base 10 of (x - 5) = log base 10 of (x - 11)

118.Logarithm Calculator Problems

• 118.1 Logarithm Calculator Problems (log 8)
• 118.2 Logarithm Calculator Problems (log x = 2.916)
• 118.3 Logarithm Calculator Problems (4th root of 93)
• 118.4 Why is Inverse log of Negative Number a Positive Number?

119.Exponential Equations and Change of Base Formula

• 119.1 Exponential Equations: 8^x = 1/4 (Review)
• 119.2 Exponential Equations: 5^x = 2
• 119.3 Exponential Equations: 8^2x = 84
• 119.4 Exponential Equations: 7^(t - 6) = 9
• 119.5 Change of Base Formula: log base 3 of 8
• 119.6 Change of Base Formula: log base 2 of root 7
• 119.7 Exponential Equations: 4^(x - 1) = 3^x

120.Exponential Growth and Decay

• 120.1 Exponential Growth Formula
• 120.2 $10,000 is invested at 7% compounded annually...
• 120.3 The value of a $40,000 truck decreases by 15% per year...
• 120.4 Find Annual Rate of Growth
• 120.5 Find Annual Rate of Decay
• 120.6 Compounded Quarterly

121.Half Life and Doubling Time Formulas

• 121.1 Doubling Time Growth Formula
• 121.2 Doubles every 6 hours. By how much will it grow in 3 days?
• 121.3 Half-life of carbon 14 is is 5730 years. How much of 100 g...
• 121.4 Half-life of carbon 14 is is 5730 years. Cat bone has 4% left...
• 121.5 King Richard III: What % of carbon 14 would need to remain?

122.Natural Logarithms

• 122.1 Natural Logarithms (Explanation of "e")
• 122.2 Natural Logarithms: Write ln 4 = 1.39 in Exponential Form
• 122.3 Natural Logarithms: Write e^7 = 1097 in Logarithmic Form
• 122.4 Natural Logarithms: Evaluate ln e^10 and e^(ln 9)
• 122.5 Express as a Single Natural Logarithm: 2 ln 12 - ln 4 - 1
• 122.6 Without Using a Calculator, Find the Approximate Value of ln 2.7

123.Solving Natural Logarithm Equations with ln and e

• 123.1 Natural Logarithm Equations: ln x = 6 or ln x^2 = 10
• 123.2 Natural Logarithm Equations: e^x = 3 or e^(-x) = 12
• 123.3 Natural Logarithm Equations: ln x + ln (x - 4) = ln 21
• 123.4 Natural Logarithm Equations: e^2x - 11e^x + 10 = 0