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Algebra (Linear) &
Advanced Math


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Algebra (Linear) at a Glance

 • 16+ hours • 11 lessons • 61 lectures
 • 470+ examples • 160+ concepts and rules
 • 30+ drills with full solutions

Advanced Math at a Glance 

• 32+ hours • 28 lessons • 111 lectures
• 950+ examples • 260+ concepts and rules
• 35+ drills with full solutions

Build • Master • Conquer

DSAT® Math Teaching Course — Algebra

  1. A - Numbers and Algebra

    49 lessons

    1. A01 - Numbers (1)

      1. A01.01 - Number Categories
      2. A01.02 - Signed Numbers & Zero
      3. A01.03 - Odd & Even Numbers
      4. A01.04 - Introduction to Variables
      5. A01.05 - Introduction to Inequality
      6. A01.06 - Raising a Number to a Power
      7. A01.07 - Order of Operations (PEMDAS)
      8. A01.PS01 - Numbers (1)
      9. A01.PS01 - Numbers (1) - Solution

    2. A03 - Fractions

      1. A03.01 - Fractions & Equal Fractions
      2. A03.02 - Manipulation of Fractions
      3. A03.03 - Operations of Fractions
      4. A03.04 - Manipulation of Fractional Equations
      5. A03.05 - Comparing Fractions
      6. A03.06 - Improper Fractions & Mixed Numbers
      7. A03.PS01 - Fractions
      8. A03.PS01 - Fractions - Solution

    3. A04 - Linear Expressions & Equations in One Variable

      1. A04.01 - Introduction to Linear Expressions & Equations
      2. A04.02 - Laws of Equality
      3. A04.03 - Creating Linear Expressions & Equations
      4. A04.04 - Possible Solution(s) of a Linear Equation
      5. A04.05 - Linear, Nonlinear & Polynomial Equations
      6. A04.PS01 - Linear Expressions & Equations in One Variable
      7. A04.PS01 - Linear Expressions & Equations in One Variable - Solution

    4. A06 - Simple & Compound Inequalities

      1. A06.01 - Solving Simple Inequalities
      2. A06.02 - Key Words to Create Inequalities
      3. A06.03 - Compound Inequalities
      4. A06.04 - Solving Compound Inequalities
      5. A06.PS01 - Simple & Compound Inequalities
      6. A06.PS01 - Simple & Compound Inequalities - Solution

    5. A08 - Numbers (2)

      1. A08.01 - Place Value & 10 to the Power of n
      2. A08.02 - Rounding Numbers
      3. A08.03 - Scientific Notation
      4. A08.04 - Fraction Conversion
      5. A08.05 - Dividing Integers with No Remainder
      6. A08.06 - Dividing Integers with a Remainder
      7. A08.07 - Increasing & Decreasing Fractions
      8. A08.08 - Rationalizing Fractions
      9. A08.PS01 - Numbers (2)
      10. A08.PS01 - Numbers (2) - Solution

    6. A11 - Simple Absolute Value Equations & Inequalities

      1. A11.01 - Introduction to Absolute Value
      2. A11.02 - Rules of Simple Absolute Value
      3. A11.03 - Solving Simple Absolute Value Equations
      4. A11.04 - Solving Simple Absolute Value Inequalities
      5. A11.05 - Absolute Value Inequalities on the Number Line
      6. A11.PS01 - Simple Absolute Value Equations & Inequalities
      7. A11.PS01 - Simple Absolute Value Equations & Inequalities - Solution
      8. A11.PS02 - Simple Absolute Value Equations & Inequalities
      9. A11.PS02 - Simple Absolute Value Equations & Inequalities - Solution

  2. I - Linear Functions

    48 lessons

    1. I01 - Linear Equations & Functions

      1. I01.01 - Linear Equations
      2. I01.02 - Slope Analysis of Linear Equations (1)
      3. I01.03 - Slope Analysis of Linear Equations (2)
      4. I01.04 - Reading the Graph of a Line
      5. I01.05 - Identifying Points on a Line
      6. I01.06 - Graphing Linear Equations
      7. I01.07 - Finding the Line Equation from its Graph
      8. I01.08 - Finding Linear Equations
      9. I01.09 - Finding Unknown Coordinates
      10. I01.10 - Special Cases of Linear Equations
      11. I01.11 - Other Forms of Linear Equations
      12. I01.PS01 - Linear Equations & Functions
      13. I01.PS01 - Linear Equations & Functions - Solution
      14. I01.PS02 - Linear Equations & Functions
      15. I01.PS02 - Linear Equations & Functions - Solution
      16. I01.PS03 - Linear Equations & Functions
      17. I01.PS03 - Linear Equations & Functions - Solution

    2. I02 - Linear Equations and Functions in Context

      1. I02.01 - Linear Equations in Real-World Contexts (1)
      2. I02.02 - Linear Equations in Real-World Contexts (2)
      3. I02.03 - Linear Equations in Real-World Contexts (3)
      4. I02.04 - Linear Equations in Real-World Contexts (4)
      5. I02.05 - Linear Equations in Real-World Contexts (5)
      6. I02.06 - Linear Equations in Money Contexts (1)
      7. I02.07 - Linear Equations in Money Contexts (2)
      8. I02.PS01 - Linear Equations & Functions in Context
      9. I02.PS01 - Linear Equations & Functions in Context - Solution
      10. I02.PS02 - Linear Equations & Functions in Context
      11. I02.PS02 - Linear Equations & Functions in Context - Solution
      12. I02.PS03 - Linear Equations & Functions in Context
      13. I02.PS03 - Linear Equations & Functions in Context - Solution

    3. I03 - System of Linear Equations

      1. I03.01 - Solving a System of Linear Equations
      2. I03.02 - Solutions of a System of Linear Equations
      3. I03.03 - Reducing Two-Variable Systems to One Variable
      4. I03.04- Solving Linear Systems in Different Quadrants
      5. I03.PS01 - System of Linear Equations
      6. I03.PS01 - System of Linear Equations - Soltuion
      7. I03.PS02 - System of Linear Equations
      8. I03.PS02 - System of Linear Equations - Solution
      9. I03.PS03 - System of Linear Equations
      10. I03.PS03 - System of Linear Equations - Solution

    4. I04 - Linear Inequalities & Systems of Linear Inequalities

      1. I04.01 - Solving Linear Inequalities & Systems
      2. I04.02 - Solving Linear Inequalities for Extremes
      3. I04.PS01 - Linear Inequalities & Systems of Linear Inequalities
      4. I04.PS01 - Linear Inequalities & Systems of Linear Inequalities - Solution

    5. I05 - Equations and Inequalities in the Form ax + by = d

      1. I05.01 - Solving Linear Equations in this Format (1)
      2. I05.02 - Solving Linear Equations in this Format (2)
      3. I05.PS01 -Equations & Inequalities in the Form ax + by = d
      4. I05.PS01 - Equations and Inequalities in the Form ax + by = d - Solution

DSAT® Math Teaching Course — Advanced Math

  1. A - Numbers and Algebra

    61 lessons

    1. A01 - Numbers (1)

      1. A01.01 - Number Categories
      2. A01.02 - Signed Numbers & Zero
      3. A01.03 - Odd & Even Numbers
      4. A01.04 - Introduction to Variables
      5. A01.05 - Introduction to Inequality
      6. A01.06 - Raising a Number to a Power
      7. A01.07 - Order of Operations (PEMDAS)
      8. A01.PS01 - Numbers (1)
      9. A01.PS01 - Numbers (1) - Solution

    2. A03 - Fractions

      1. A03.01 - Fractions & Equal Fractions
      2. A03.02 - Manipulation of Fractions
      3. A03.03 - Operations of Fractions
      4. A03.04 - Manipulation of Fractional Equations
      5. A03.05 - Comparing Fractions
      6. A03.06 - Improper Fractions & Mixed Numbers
      7. A03.PS01 - Fractions
      8. A03.PS01 - Fractions - Solution

    3. A05 - Simple Rational Expressions & Equations

      1. A05.01 - Introduction to Simple Rational Expressions
      2. A05.02 - Solving Simple Rational Equations
      3. A05.PS01 - Simple Rational Expressions & Equations
      4. A05.PS01 - Simple Rational Expressions & Equations - Solution
      5. A05.PS02 - Simple Rational Expressions & Equations
      6. A05.PS02 - Simple Rational Expressions & Equations - Solution

    4. A07 - Exponents & Radicals

      1. A07.01 - Definitions of Exponents & Radicals
      2. A07.02 - Rules of Exponents & Radicals
      3. A07.03 - Solving Exponent & Radical Equations
      4. A07.04 - Solving Exponent Equations by Changing the Base
      5. A07.05 - Rules of Exponents & Radicals in Two Variables
      6. A07.06 - Perfect Squares & Perfect Cubes
      7. A07.PS01 - Exponents & Radicals
      8. A07.PS01 - Exponents & Radicals - Solution
      9. A07.PS02 - Exponents & Radicals
      10. A07.PS02 - Exponents & Radicals - Solution
      11. A07.PS03 - Exponents & Radicals
      12. A07.PS03 - Exponents & Radicals - Solution
      13. A07.PS04 - Exponents & Radicals
      14. A07.PS04 - Exponents & Radicals - Solution

    5. A08 - Numbers (2)

      1. A08.01 - Place Value & 10 to the Power of n
      2. A08.02 - Rounding Numbers
      3. A08.03 - Scientific Notation
      4. A08.04 - Fraction Conversion
      5. A08.05 - Dividing Integers with No Remainder
      6. A08.06 - Dividing Integers with a Remainder
      7. A08.07 - Increasing & Decreasing Fractions
      8. A08.08 - Rationalizing Fractions
      9. A08.PS01 - Numbers (2)
      10. A08.PS01 - Numbers (2) - Solution

    6. A09 - Polynomials

      1. A09.01 - Polynomial Operations & Manipulations
      2. A09.02 - Equivalent Polynomials
      3. A09.PS01 - Polynomials
      4. A09.PS01 - Polynomials - Solution
      5. A09.PS02 - Polynomials
      6. A09.PS02 - Polynomials - Solution

    7. A10 - Changing the Subject of an Equation

      1. A10.01 - Changing the Subject of an Equation
      2. A10.02 - Creating Equations from Two Given Equations
      3. A10.PS01 - Changing the Subject of an Equation
      4. A10.PS01 - Changing the Subject of an Equation - Solution

    8. A12 - Imaginary Numbers

      1. A12.01 - Introduction to Imaginary Numbers
      2. A12.02 - Complex Numbers
      3. A12.PS01 - Imaginary Numbers
      4. A12.PS01 - Imaginary Numbers - Solution

  2. H - Introduction to Functions

    37 lessons

    1. H01 - Functions

      1. H01.01 - Understanding Functions
      2. H01.02 - Main Types of Functions
      3. H01.03 - Points that Satisfy a Function
      4. H01.04 - Function Composition
      5. H01.05 - Function Operations
      6. H01.PS01 - Functions
      7. H01.PS01 - Functions - Solution
      8. H01.PS02 - Functions
      9. H01.PS02 - Functions - Solution
      10. H01.PS03 - Functions
      11. H01.PS03 - Functions - Solution

    2. H02 - The Graphs of Functions

      1. H02.01 - General Shape of Function Graphs
      2. H02.02 - The Vertical Line Test
      3. H02.03 - Reading Points from a Graph
      4. H02.04 - Main Points on the Graph of a Function (1)
      5. H02.05 - Main Points on the Graph of a Function (2)
      6. H02.06 - Domain & Range of Functions
      7. H02.07 - Graphing a Function
      8. H02.08 - Summary of the Graph of a Function
      9. H02.PS01 - The Graphs of Functions
      10. H02.PS01 - The Graphs of Functions - Solution
      11. H02.PS02 - The Graphs of Functions
      12. H02.PS02 - The Graphs of Functions - Solution

    3. H03 - Piecewise Functions

      1. H03.01 - Piecewise Functions
      2. H03.PS01 - Piecewise Functions
      3. H03.PS01 - Piecewise Functions - Solution

    4. H04 - Zeros & Factors of a Function

      1. H04.01 - Introduction to Zeros & Factors of Functions
      2. H04.02 - Graph Behavior at Repeated Zeros
      3. H04.03 - Zeros of Odd & Even Degree Polynomials
      4. H04.04 - Zeros of Rational, Radical & Exponential Functions
      5. H04.PS01 - Zeros & Factors of a Function
      6. H04.PS01 - Zeros & Factors of a Function - Solution

    5. H05 - Systems of Equations & their Graphs

      1. H05.01 - Solving Systems of Equations (1)
      2. H05.02 - Solving Systems of Equations (2)
      3. H05.03 - Solving Systems of Equations (3)
      4. H05.PS01 - Systems of Equations & their Graphs
      5. H05.PS01 - Systems of Equations & their Graphs - Solution

  3. J - Quadratic Equations & Functions

    50 lessons

    1. J01 - Quadratic Expressions in 2 Variables

      1. J01.01 - Quadratic Expressions in 2 Variables
      2. J01.PS01 - Quadratic Expressions in 2 Variables
      3. J01.PS01 - Quadratic Expressions in 2 Variables - Solution

    2. J02 - Quadratic Equations in Standard & Factored Forms

      1. J02.01 - Quadratic Equations & Their Graphs
      2. J02.02 - The Quadratic Formula
      3. J02.03 - The Sum & Products of the Roots
      4. J02.04 - Examples of Quadratic Equations
      5. J02.05 - Solving Quadratic Equations with Complex Roots
      6. J02.06 - Zeros & Factors of Quadratic Equations
      7. J02.07 - Examples of Zeros & Factors
      8. J02.08 - Special Cases of Quadratic Equations (1)
      9. J02.09 - Special Cases of Quadratic Equations (2)
      10. J02.10 - Special Cases of Quadratic Equations (3)
      11. J02.11 - Special Cases of Quadratic Equations (4)
      12. J02.12 - Factoring Summary of Quadratic Equations
      13. J02.13 - Examples of Factoring Quadratic Equations
      14. J02.14 - Manipulating Quadratic Equations
      15. J02.PS01 - Quadratic Equations in Standard & Factored Form
      16. J02.PS01 - Quadratic Equations in Standard & Factored Form - Solution
      17. J02.PS02 - Quadratic Equations in Standard & Factored Form
      18. J02.PS02 - Quadratic Equations in Standard & Factored Form - Solution
      19. J02.PS03 - Quadratic Equations in Standard & Factored Form
      20. J02.PS03 - Quadratic Equations in Standard & Factored Form - Solution

    3. J03 - Quadratic Equations in Vertex Form

      1. J03.01 - Creating Quadratic Equations in Vertex Form
      2. J03.02 - Examples of the Vertex Form
      3. J03.03 - Zeros of the Vertex Form
      4. J03.04- Domain & Range of Quadratic Functions (1)
      5. J03.05 - Domain & Range of Quadratic Functions (2)
      6. J03.06 - The Axis of Symmetry
      7. J03.07 - Changing the Subject of a Quadratic Equation
      8. J03.PS01 - Quadratic Equations in Vertex Form
      9. J03.PS01 - Quadratic Equations in Vertex Form - Solution
      10. J03.PS02 - Quadratic Equations in Vertex Form
      11. J03.PS02 - Quadratic Equations in Vertex Form - Solution

    4. J04 - Advanced Quadratic Equations

      1. J04.01- Constants & Graphs of Quadratic Equations
      2. J04.02 - Defining Quadratic Functions
      3. J04.03 - Signs of the Zeros & Constants
      4. J04.PS01 - Advanced Quadratic Equations
      5. J04.PS01 - Advanced Quadratic Equations - Solution

    5. J05 - Regions of the Quadratic Equation Graph

      1. J05.01 - Regions of Quadratic Equation Graph

    6. J06 - Quadratic Inequalities

      1. J06.01 - Quadratic Inequalities
      2. J06.PS01 - Quadratic Inequalities
      3. J06.PS01 - Quadratic Inequalities - Solution

    7. J07 - System of Quadratic Equations

      1. J07.01 - System of Quadratic Equation & a Linear Equation (1)
      2. J07.02 - System of a Quadratic Equation & a Linear Equation (2)
      3. J07.PS01 - System of Quadratic Equations
      4. J07.PS01 - System of Quadratic Equations - Solution

    8. J08 - Summary of Quadratic Equations

      1. J08.01 - Summary of Quadratic Equations
      2. J08.PS01 - Summary of Quadratic Equations
      3. J08.PS01 - Summary of Quadratic Equations - Solution

  4. K - Higher-Degree Polynomial Functions

    11 lessons

    1. K01 - Long Division & the Remainder Theorem

      1. K01.01 - Dividing Polynomials
      2. K01.02 - Long Division with a Remainder
      3. K01.03 - Long Division without a Remainder
      4. K01.04 - The Remainder Theorem
      5. K01.PS01 - Long Division & the Remainder Theorem
      6. K01.PS01 - Long Division & the Remainder Theorem - Solution

    2. K02 - Higher-Degree Polynomial Functions

      1. K02.01 - Zeros of Higher Degree Polynomial Equations
      2. K02.02 - Third & Fourth Degree Polynomial Equations
      3. K02.03 - System of Higher Degree Polynomial Equations
      4. K02.PS01 - Higher Degree Polynomial Functions
      5. K02.PS01 - Higher Degree Polynomial Functions - Solution

  5. L - Rational & Radical Expressions, Equations & Functions

    12 lessons

    1. L01 - Rational Expressions & Equations

      1. L01.01 - Rational Expressions
      2. L01.02 - Rational Expression Operations
      3. L01.03 - Rationalizing Rational Expressions
      4. L01.04 - Introduction to Rational Equations
      5. L01.PS01 - Rational Expressions & Equations
      6. L01.PS01 - Rational Expressions & Equations - Solution

    2. L02 - Graphs of Rational Functions

      1. L02.01 - Rational Functions Analysis
      2. L02.PS01 - Graphs of Rational Functions
      3. L02.PS01 - Graphs of Rational Functions - Solution

    3. L03 - Radical Functions

      1. L03.01 - Solving Radical Equations
      2. L03.PS01 - Radical Functions
      3. L03.PS01 - Radical Functions - Solution

  6. M - Exponential & Logarithmic Functions

    9 lessons

    1. M01 - Exponential Functions

      1. M01.01 - Introduction to Exponential Functions
      2. M01.02 - Exponential Function Time Units
      3. M01.03 - Understanding Compound & Simple Interest
      4. M01.04 - Compound Interest in Exponential Functions
      5. M01.05 - Graphs of Exponential Functions
      6. M01.06 - Manipulations of Exponential Functions
      7. M01.07 - Exponential vs Linear Functions
      8. M01.PS01 - Exponential Functions
      9. M01.PS01 - Exponential Functions - Solution

  7. O - Function Operations

    7 lessons

    1. O01 - Function Transformations

      1. O01.01 - Function Translation (1)
      2. O01.02 - Function Translation (2)
      3. O01.03 - Function Reflection
      4. O01.04 - Function Dilation
      5. O01.05 - Function Transformation Summary
      6. O01.PS01 - Function Transformations
      7. O01.PS01 - Function Transformations - Solution