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Pre-Algebra
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Algebra 1
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Common Questions
Is this course good for absolute beginners?
Yes! Pre-Algebra starts from the very beginning with whole numbers and fractions before gradually introducing letters and variables. You don’t need any prior advanced math knowledge.
What exact levels does it cover?
The Complete Suite includes the full curriculums for Pre-Algebra, Algebra 1, and Algebra 2. It covers everything from basic order of operations to advanced trigonometric functions and vectors.
Can I use this for standardized test prep?
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Get Started TodayChapter 1: Intro to Pre-Algebra
- Introduction to Numbers
Chapter 2: Whole Numbers
- Place Values
- Comparing Whole Numbers
- Rounding Up Numbers
Chapter 3: Operations on Whole Numbers
- Addition and Subtraction
- Multiplication
- Division
- Exponents
- Estimating Values
Chapter 4: Number Lines, Integers & Abs. Values
- Introduction to Integers & Absolute Value
- Comparing Integers and Absolute Value
- Operations on Integers
- Order of Operations
Chapter 5: Fundamental Arithmetic Properties
- Commutative Property
- Associative Property
- Distributive Property
- Identity Property
- Inverse Property
Chapter 6: Factors and Multiples
- Divisibility of Numbers
- Factors
- Finding the Greatest Common Factor (GCF)
- Multiples
Chapter 7: Fractions
- Introduction to Fractions
- Simplifying Fractions
- Comparing Fractions
- Addition and Subtraction of Fractions
- Multiplication and Division of Fractions
- Operations on Mixed Numbers
Chapter 8: Decimals
- Introduction to Decimals
- Comparing Decimals
- Rounding Up Decimals
- Operations on Decimals
- Scientific Notation
Unit 9: Fundamentals of Algebra
- Understanding Algebra
- Operations in Algebra
- Radicals in Algebra
- Solving Equations
- Solving Inequalities
Unit 10: Ratios, Proportions & Percentages
- Ratio and Proportion
- Setting Up and Solving Proportions
- Introduction to Percentages
- Solving Percentage Problems
- Unit Conversion
- Solving Percentage Problems with Applications
- Percentage Increase or Decrease
- Markup, Discount, and Tax
- Simple Interest Calculation
Unit 11: The Coordinate Plane
- Introduction to the Coordinate Plane
- Graphing Basic Linear Equations
Unit 12: Geometry
- Points, Lines and Planes
- Identifying Angles
- Parallel Lines
- 2D Shapes (Triangles and Parallelograms)
- Area and Perimeter
- Circle (Circumference and Area)
- Volume
Unit 13: Fundamentals of Probability
- Basic Probability Concepts
- Complementary Events
- Compound Events
Unit 14: Data Analysis & Representation
- Calculating Mean, Median, Mode, and Range
- Understanding Frequency Tables
- Creating Charts
Chapter 1: Intro to Algebra
- Introduction
- Definition of Terms in Algebra
Chapter 2: Add & Subtraction
- Addition and Subtraction in Algebra – Adding and Subtracting terms – Adding and Subtracting terms with Exponents – Adding and Subtracting with Multiple Like Terms
Chapter 3: Parenthesis
- Parenthesis in Algebra – Polynomial Expressions and Removing of Parenthesis
Chapter 4: Multiplication
- Multiplication in Algebra – Monomial x Monomial – Monomial x Polynomial – Polynomial x Polynomial
Chapter 5: Exponents
- Introduction and Laws of Exponents – Law 1 – Product Rule – Law 2 – Quotient Rule – Law 3 – Power of a Power – Rules of Exponents (Zero, Negative, Fractional)
- Exponents on Negatives, Monomials, and Polynomials
Chapter 6: Division
- Division in Algebra – Division of a Monomial by Monomial – Division of a Polynomial by a Monomial
- Division of Polynomial by Polynomial (Advanced)
Chapter 7: Radicals
- Introduction to Radicals
- Revision: Working with Perfect and Non-Perfect Radicals
- Working with Radicals of Monomials
- Operations on Radicals – Addition and Subtraction – Multiplication and Division
- Rationalization of Radical Denominators – Monomial Denominators – Binomial Denominators
Chapter 8: Factors & Factorization
- Factors and Factorization – Factoring Using Greatest Common Factor (GCF)
- Factoring by Grouping
- Factoring Quadratics
- Factoring the Difference of Two Squares
- Perfect Square Trinomials
Chapter 9: Equations
- Introduction to Equations
- One-Step Equations
- Two-Step Equations
- Equations with Fractions
- Equation with More than One Fraction
- Multi-Step Equations
- Solving Equations where Variables are Represented by Other Variables
- Change of Subject or Transpose of Formula
Chapter 10: Variation
- Introduction to Variation
- Direct Variation – Finding and Solving Equation – Determining if a Table or Graph represents Direct Variation
- Inverse Variation – Finding and Solving Equation – Determining if a Table or Graph represents Inverse Variation
- Joint Variation and Combined Variation
Chapter 11: Ratio, Proportion & %
- Ratio, Proportion, and Rates
- Percentages
- Percent Increase or Decrease
- Markup, Discount, and Tax
- Simple and Compound Interest
Chapter 12: Unit Conversions
- Unit Conversion – Single Unit Conversion – Multiple Unit Conversion
Chapter 13: Simultaneous Equations
- Solving by Elimination/Addition – Coefficient of one Variable is the same – Coefficient of one Variable is a multiple of the other – Coefficient of Variables are not related
- Solving by Substitution
Chapter 14: Quadratic Equations
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations with the Quadratic Formula
Chapter 15: Inequalities
- Solving Inequalities – Multiplying/dividing by negative – Solving Compound Inequalities
- Graphing of Inequalities – Form (variable, sign, number) – Form (number, sign, variable) – Writing Inequality from a Number line Graph – Compound Inequality from Number line
Chapter 16: Absolute Values
- Solving Absolute Value Equations
Chapter 17: Intro to Coord. Geometry
- Graphing of Points
- Graphing Lines with Points
- X-intercept and Y-intercept
Chapter 18: Linear Equations & Graphs
- Introduction to Slopes
- Finding the Slope from a Graph
- Slope-Intercept Form & Graphing
- Point-Slope Form
- Standard Form
- Parallel and Perpendicular Lines
Chapter 19: Graphing Systems
- Solving Simultaneous Equations by Graphing
Chapter 20: Functions & Relations
- Intro to Functions and Relations – Function Notations – Finding Domain/Range (Graph & No Graph) – Vertical Line Test
- Composite Functions – Operations & Inverse Functions
- Linear Functions and Graphs
- Linear Inequalities and Graphs
- Quadratic, Absolute Value & Piecewise Functions
Chapter 21: Probability
- Intro to Probability
- Complementary Events
- Compound Events
Chapter 22: Representing Data
- Frequency Table
- Bar Graphs & Line Graphs
- Pie Chart
- Box and Whiskers
Chapter 23: Word Problems
- Introduction to Word Problems
- Two-Step Equations Word Problems
- Proportion Word Problems
- Distance Rate Time Word Problems
- Mean, Median, Mode Word Problems
- Permutations & Combinations – Counting Principles – Permutation – Using Counting Principles – Permutation – Using Formula – Combination – Combination (handshake question)
- Age Word Problems
- Mixture Word Problems
- Work Word Problems
Unit 1: Foundations of Algebra
- Operations in Algebra
- Solving Linear Equations
- Solving Linear Inequalities
- Absolute Value Equations
Unit 2: Functions and Relations
- Intro to Functions and Relations
- Example: Functions and Relations
- Composite Functions
- Inverse Functions
- Linear Functions and Graphs
- Linear Inequalities and Graphs
Unit 3: Systems of Eq & Inequalities
- Solving Linear Systems Algebraically (Substitution)
- Solving Linear Systems Algebraically (Elimination)
- Solving Linear Systems by Graphing
- Graphing and Solving Systems of Inequalities
- Linear Programming
- Systems of Nonlinear Equations
Unit 4: Matrices and Determinants
- Introduction to Matrices
- Operations with Matrices
- Determinants
- Cramer’s Rule
- Identity and Inverse Matrices
Unit 5: Quadratic Functions
- Factoring and Solving Quadratic Equations
- Graphing Quadratic Functions
- The Quadratic Formula and the Discriminant
- Graphing Quadratic Inequalities
Unit 6: Abs. Value & Piecewise
- Absolute Value Functions
- Piecewise Functions
Unit 7: Polynomials
- Polynomial Operations
- Polynomial Division
- Theorems About Roots
- Expansion of Binomials
- Graphing Polynomial Functions
Unit 8: Rational Functions
- Introduction to Rational Functions
- Graphing Rational Functions
Unit 9: Trigonometry
- Trigonometric Ratios – The Core Ratios
- Trigonometric Ratios Practice
- Reciprocal Functions
- Radians and Degrees
- Common Angles in Trigonometry
- The Unit Circle
- Graphing Trigonometric Functions
- Transformations
- Basic Trigonometric Identities
- Real-World Applications of Trigonometry
Unit 10: Exp. & Log. Functions
- Exponential Functions and Their Graphs
- Logarithmic Functions
- Converting Between Logarithmic and Exponential Forms
- Graphs of Logarithmic Functions
- Solving Exponential and Logarithmic Equations
Unit 11: Sequences and Series
- Introduction to Sequences and Series
- Arithmetic (Linear) Sequences
- Geometric (Exponential) Sequences
- Infinite Geometric Series
Unit 12: Conic Sections
- Introduction to Conic Sections
- Circles
- Ellipses
- Parabolas
- Hyperbolas
Unit 13: Vectors & Parametric Eq.
- Introduction to Vectors
- Operations with Vectors
- Applications of Vectors
- Parametric Equations and Graphs