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Conquer SAT Math: Step-by-Step Solutions and Practice Tricks

سرفصل های دوره

Dominate the SAT Math: Step-by-Step Solutions, Crystal-Clear Explanations, and Extensive Practice Test Solutions


1. Introduction
  • 1. Introduction

  • 2. ALGEBRA
  • 1. A System of Linear Equation With No Solution
  • 2. Absolute Value Equation 1
  • 3. Absolute Value Equation 2
  • 4. Absolute Value Equation 3
  • 5. Average Rate of Change
  • 6. Coordinate of the Intercept of a Translated Graph in the XY Plane
  • 7. Determination of Coordinate of a Point on the Number Line
  • 8. Determination of Function From a Set of Ordered Pair
  • 9. Determination of the Slope of a Line With Given Coordinates
  • 10. Determining the Variable that Leads to No Solution in a Linear Equation System
  • 11. Determination of X and Y Intercept of A Linear Equation (Extended)
  • 12. Identifying the Value that Yields an Infinite Solution Set for a Linear Equation
  • 13. Distance - Rate and Time problem
  • 14. Point-Slope Form of Equations for Lines Passing Through a Specified Point
  • 15. Equation Representing Given Relationship Between Integers
  • 16. Equation with Solution, No Solution and Identity
  • 17. Function Value Problems
  • 18. Graphing Inequality 1
  • 19. Graphing inequality 2
  • 20. Inequality equation solution
  • 21. Order Of Operation (Application of PEDMAS) In Variable Substitution
  • 22. Order Of Operation (Application of PEDMAS)
  • 23. Rounding Off Decimals to Different Place Values
  • 24. Simplification Of Algebraic Expression
  • 25. Slope intercept form and point slope form and others from a linear graph
  • 26. Solution to absolute value inequality
  • 27. solution to systems of inequalities by graphing
  • 28. Solution to word problem using inequality
  • 29. Solviing system of linear equation by elimination method
  • 30. Solving system of linear equation by substitution method
  • 31. Solving Algebraic Equation With Variable On Both Side
  • 32. Solving For Algebraic Variable 2
  • 33. Solving For Algebraic Variable
  • 34. Solving for specified variable 1
  • 35. Solving for specified variable 2
  • 36. Solving for specified variable 3
  • 37. solving for variable in inequality
  • 38. Solving systems of linear equation by graphing
  • 39. solving word problems using systems of equations 2
  • 40. solving word problems using systems of equations
  • 41. Translating Verbal Expression into Algebraic Equation and Solving
  • 42. Translating Verbal Expression into Algebraic Equation
  • 43. Translating Verbal Expression into Algebraic Expression
  • 44. Word problem leading to equation (cost profit and value problems)
  • 45. Writing algebraic statement as inequality

  • 3. ALGEBRA (SPECIAL)
  • 1. Absolute value of any number cannot be negative
  • 2. how to determine the intercept from a straight line graph
  • 3. How to determine the slope of a linear graph 1
  • 4. How to determine the slope of a linear graph 2
  • 5. Parrallel and Perpendicular Lines Explanation
  • 6. Point-Slope form of the equation of a straight line (reviewed)
  • 7. Rate of Change and Slope (positive, negative, zero and undefined slope)
  • 8. Slope Intercept, Point-Slope, Standard form, X and Y intercepts Explained
  • 9. Types of Slope

  • 4. PROBLEM SOLVING AND DATA ANALYSIS
  • 1. Determination of Mean - Median - Mode and Range of a Data Set (Ungrouped Data)
  • 2. Determination of the measure of each angle of a triangle using ratio
  • 3. Determination of the value of variable that forms a proportion
  • 4. Determination of variance and Standard deviation of ungrouped data (two methods
  • 5. Determination of whether a ratio forms proportion or not
  • 6. Discount and Tax Problems
  • 7. Interest and investment problem solved (stock and bonds)
  • 8. Percent Problem (mixture of two different solution)
  • 9. Percent Problem 1
  • 10. Percent Problem 2
  • 11. Percent Problem 3
  • 12. Permutation and Combination Problem 1
  • 13. Permutation and Combination Problem 2
  • 14. Population parameter problems (Random sampling)
  • 15. probability of categorical variables (contingency table problem)
  • 16. Probability with and without replacement problems
  • 17. problem involving best unit price (lowest price to weight ratio)
  • 18. problem on standard deviation above and below the mean
  • 19. Skewed distribution of data and determination of the existence of outliers
  • 20. Solution to a unit rate problem
  • 21. Solution to unit rate problems 2
  • 22. Solution to weighted average problems
  • 23. Translation of Verbal Phrase to algebraic equation and proportion
  • 24. word problem involving ratios - rates and proportion 2
  • 25. word problem involving ratios - rates and proportion 3
  • 26. word problem involving ratios - rates and proportion

  • 5. PROBLEM SOLVING AND DATA ANALYSIS (SPECIAL)
  • 1. Determination of quartiles (Q1,Q2,Q3) AND SIQR (ODD)
  • 2. Determination of quartiles (Q1,Q2,Q3) EVEN
  • 3. How to identify an outlier in a data set

  • 6. PASSPORT TO ADVANCED MATHEMATICS
  • 1. Adding and Subtracting Polynomial Example
  • 2. Algebraic Factorization By Grouping Part 1
  • 3. Algebraic Simplification (FOIL Method and Special product) Part 1
  • 4. Algebraic simplification (FOIL method and Special product) Part 2
  • 5. Application of law of exponent in algebraic simplification 1
  • 6. Application of law of exponent in algebraic simplification 2
  • 7. Application of law of exponent in algebraic simplification 3
  • 8. Application of law of exponent in algebraic simplification 4
  • 9. Application of law of exponent in algebraic simplification 5
  • 10. Application of law of exponent in algebraic simplification 6
  • 11. Application of law of exponent in algebraic simplification 7
  • 12. Application of law of exponent in algebraic simplification 8
  • 13. Complementary Angle Property Problem Solved
  • 14. Complete factorization of negative number and letter
  • 15. Complex Conjugate Problem Solved Part 1
  • 16. Complex Conjugate Problem Solved Part 2
  • 17. Complex Conjugate Problem Solved Part 3
  • 18. Complex Conjugate Problem Solved Part 4
  • 19. Complex Fraction and Mixed Fraction Problems Solved
  • 20. Composition Problems Solved (Part 1)
  • 21. Composition Problems Solved (Part 2)
  • 22. determination of a quadratic function with given roots (solutions) 1
  • 23. determination of a quadratic function with given roots (solutions) part 2
  • 24. Determination of different quadratic parameters from a quadratic function 2
  • 25. Determination of different quadratic parameters from a quadratic function
  • 26. Determination of different quadratic parameters from a quadratic graph
  • 27. Determination of G.C.F. (H.C.F.) of Numbers (method 1)
  • 28. Determination of G.C.F. (H.C.F.) of Numbers (method 2)
  • 29. Determination of G.C.F. (H.C.F.) of Numbers and letters (method 1) part 2
  • 30. Determination of G.C.F. (H.C.F.) of Numbers and letters (method 1)
  • 31. Determination of G.C.F. (H.C.F.) of Numbers and letters (method 2)
  • 32.1 Determination of L.C.M. of Letters only (method 1)
  • 32. Determination of L.C.M. of Letters only (method 1)
  • 33. Determination of L.C.M. of Letters only (method 2)
  • 34. Determination of L.C.M. of Numbers (method 1)
  • 35. Determination of L.C.M. of Numbers (method 2)
  • 36. Determination of L.C.M. of Numbers and Letters (method 1)
  • 37. Determination of L.C.M. of Numbers and Letters (method 2)
  • 38. Determination of L.C.M. of Numbers and Letters part 2 (method 1)
  • 39. Determination of L.C.M. of Numbers and Letters part 2 (method 2)
  • 40. Determination of Prime Factorization of a given number
  • 41. Determination of Sum of Roots and Product of Roots of Quadratic Equation
  • 42. Determination of the degree of a polynomial in two variables
  • 43. Determination of the X - Intercept of A Polynomial Function
  • 44. Determining the number of Solutions for a system of equations solved
  • 45. Equal Polynomial Problem Solved
  • 46. Exponential Function and Graph Problem Solved
  • 47. Exponential Growth and Decay (Compound Interest Problem Solved)
  • 48. Exponential Growth and Decay (Decrease in Value Problem Solved)
  • 49. Exponential Growth and Decay (Doubling of An Initial Population Problem)
  • 50. Exponential Growth and Decay (Half - Life Problem Solved)
  • 51. Factoring Difference of Squares and Perfect Square Trinomials
  • 52. Factoring Polynomial by Expansion part 2
  • 53. Factoring Polynomial by Expansion
  • 54. Factoring Polynomial Using Opposite factor technique part 2
  • 55. Factoring Polynomial Using Opposite factor technique
  • 56. Factoring Trinomials (Q1 - Q4)
  • 57. How to Identify Extraneous Solution In An Algebraic Problem
  • 58. Polynomial Graph Problem (Local Maximum and Local Minimum Problem Solved)
  • 59. polynomial multiplication example
  • 60. problems on polynomial division solved
  • 61. Quadratic Equation Leading to A Complex Solution (Complex Number Problem)
  • 62. Radical Equation Example 1 Solved
  • 63. Remainder and Factor Theorem Problem (Unknown Constant) 2
  • 64. Remainder and Factor Theorem Problem (Unknown Constant)
  • 65. Remainder and Factor Theorem Problem Solved 1
  • 66. Simplifying Complex Number Problems (All questions Solved)
  • 67. Simplifying Radical Expression 2
  • 68. Simplifying Radical Expression 3
  • 69. Simplifying Radical Expression 4
  • 70. Simplifying Radical Expression 5
  • 71. Simplifying Radical Expression
  • 72. Simplifying Rational Expression (Problems Solved)
  • 73. solution to problem in scientific notation and decimal point
  • 74. Solution To Problem Involving Radian To Degree and Degree To Radian
  • 75. Solution to Problems on Direct - Inverse and Joint Variations
  • 76. Solution To Rational Equations (Rational Equation Problems Solved)
  • 77. Solution to Recursive Sequence Part 1
  • 78. Solution to Recursive Sequence Part 2 (Working inside out)
  • 79. Solution to Recursive Sequence Part 3 (Compound Interest Problem)
  • 80. Solution to system of equations (linear and quadratic by calculation)
  • 81. Solution to system of equations (linear and quadratic by graphing)
  • 82. Solving Quadratic Equation by Completing the Square (Use of Quadratic Formula)
  • 83. Solving Radical Equations
  • 84. Solving Word Problems Using Rational Equation (Workdone and Work-rate Problem)
  • 85. Solving Word Problems Using Rational Equation (Work-rate Problem) 2
  • 86. The Discriminant and the Graph of a Quadratic functions explained
  • 87. Trigonometry of Right Triangle Problems Solved (Method 1 and 2)
  • 88. Undefined Rational Equation Solved (Rational Equation With No Solution)
  • 89. Zero Product Property of a Quadratic Equation Solved

  • 7. PASSPORT TO ADVANCED MATHEMATICS (SPECIAL)
  • 1. how to know if a quadratic equation can be factorized (discriminant)
  • 2. quadratic equation with complex solution (discriminant)
  • 3. quadratic equation with distinct solution (discriminant)
  • 4. quadratic equation with equal solution (discriminant)
  • 5. Rationalization of Radicals
  • 6. Solving quadratic equation by quadratic formula

  • 8. GEOMETRY AND TRIGONOMETRY
  • 1. properties of lines (Vertically opposite angles example)
  • 2. Proportionality theorem of triangle example
  • 3. TRIGONOMETRY OF SPECIAL ANGLES EXAMPLE
  • 4. Determination of the area and volume of a cone
  • 5. Determination of the base area and volume of a pyramid
  • 6. Determination of the diameter of the base of a cylinder with given volume
  • 7. Determination of the equation of a circle with end point of the diameter given 1
  • 8. Determination of the equation of a circle with end point of the diameter given 2
  • 9. Determination of the surface area of a cube with given volume
  • 10. Determination of the volume of cylinder capped with a hemisphere
  • 11. Isosceles Triangle Problem (Two Triangles in One Problem Solved)
  • 12. Lines and Angles (Intersected Line Problems)
  • 13. Parallel and Perpendicular Lines Problem Solved
  • 14. Pythagorean Theorem and Special Right Triangle Problem Solved
  • 15. Rays and Problems on Lines Solved
  • 16. Solution to Area and Perimeter of the shaded region of A Circle with Tangents
  • 17. Solution to area and volume of a triangular prism
  • 18. Solution to Area of a Parallelogram (Two Methods Used)
  • 19. Solution to Area of A Quadrilateral (Two Methods Used)
  • 20. Solution to Area of A Regular Polygon (Method 1)
  • 21. Solution to Area of A Regular Polygon (Method 2)
  • 22. Solution to Centre and Radius of a Circle with given Equation
  • 23. Solution to Equation of a Circle with Centre and Radius
  • 24. Solution to Equation of a Circle with given centre and Tangent to the Y - axis
  • 25. Solution to Lenght of Triangle Using SOH - CAH - TOA and Comparison
  • 26. Solution to Number of Revolutions Travelled by a Wheel
  • 27. Solution to Problem on Ratios of Areas of Two Triangles
  • 28. Solution to Problem on Tangent to a Circle
  • 29. Solution to Problems on Circumscribed Circle (Cyclic Quadrilateral)
  • 30. Solution to Problems on Length of Arc and Chord of a Circle
  • 31. Solution to Ratios of Areas of two Triangles Problem
  • 32. Solution to Triangle Proportionality Theorem 1
  • 33. Solution to Triangle Proportionality Theorem 2
  • 34. Solutions to Problems on Polygons and Quadrilaterals (Variables in a Parallelogr

  • 9. GEOMETRY AND TRIGONOMETRY (SPECIAL)
  • 1. 30 by 60 equilateral triangle proof
  • 2. 45 by 45 iscosceles triangle proof
  • 3. Determination of the Area of an Equilateral Triangle
  • 4. proof of trigonometry of special angle of 45 by 45 degree
  • 5. SOH CAH TOA EXPLAINED
  • 6. THE PYTHAGOREAN THEOREM EXPLAINED
  • 7. trigonometry of special angle 30 and 60

  • 10. SOLUTION TO COLLEGE BOARD BLUEBOOK MATH PRACTICE QUESTIONS (BONUS PACKAGE)
  • 1. Algebraic Equation in Geometry
  • 2. Algebraic Equation Problem Solution
  • 3. Algebraic Equation Solution
  • 4. Algebraic Expression Simplification
  • 5. Area of A Square Problem
  • 6. Change of Subject of Formula Question
  • 7. Conor and Maria Word Problem
  • 8. Conversion from one unit to another unit (furlong to feet)
  • 9. Determination of Mean of Ungrouped Data
  • 10. Difference of two Squares Problem
  • 11. Distance rate problem
  • 12. Function Value Problem
  • 13. Function Value Problem 2
  • 14. Linear graph problem solved
  • 15. Right Triangle Problem Solved
  • 16. Slope from line of best fit
  • 17. Special Quadratic Equation Solution
  • 18. Sum of roots problem
  • 19. Area of A Rectangle Problem Solved
  • 20. Equal ratio SAT PROBLEM
  • 21. Function Value Problem 3
  • 22. Intercept from A graph
  • 23. Percent Problem Solved
  • 24. Perpendicular lines problem solved
  • 25. Population Density Problem
  • 26. Probability Problem Solved (Equal Chance)
  • 27. Ratio Problems
  • 28. Right Triangle Problem Solved 2
  • 29. Solution to a system of linear equation
  • 30. Solving for a variable in a given problem
  • 31. Unit Conversion (Yards to Feet)
  • 32. Y - Intercept of a Linear Graph
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    تاریخ انتشار: ۲۰ مرداد ۱۴۰۳
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