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• Algebraic Relationships

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Representing Algebraic Relationships

Learn how to use equations, graphs, and tables to express and analyze relationships between variables.  

• Quantitative Reasoning: Representing Algebraic Relationships

• Dimensional Analysis: Representing Algebraic Relationships

• Writing and Solving Equations in Two Variables: Representing Algebraic Relationships

• Graphing Equations in Two Variables: Representing Algebraic Relationships

• Introduction to Functions: Representing Algebraic Relationships

• Function Notation and Evaluation: Representing Algebraic Relationships

• Analyzing Graphs and Tables: Representing Algebraic Relationships

• Recognizing Patterns in Relationships: Representing Algebraic Relationships

Linear Functions

Understand, graph, and analyze linear equations, exploring the relationships between variables through slope, intercepts, and real-world applications. 

• Introduction to Linear Functions

• Understanding Slope

• Slope-Intercept Form

• Point-Slope Form

• Writing and Graphing Linear Equations

• Exploring Special Linear Relations

Linear Equations and Inequalities

Solve and graph linear equations and inequalities, and understand how they represent relationships between variables. 

• Solving Linear Equations: Single Variable

• Solving Linear Equations with Variables on Both Sides

• Distributive Property and Linear Equations

• Mixture and Rate Problems

• Literal Equations

• Solving Absolute Value Equations

• Inequalities in One Variable

• Introduction to Compound Inequalities

Systems of Equations and Inequalities

Dive into solving systems of equations and inequalities using graphing, substitution, and elimination. 

• Solving Systems by Graphing

• Substitution Method

• Solving Systems Using Linear Combinations 

• Modeling with Systems of Linear Equations

• Graphing Two-Variable Inequalities

• Solving and Modeling Systems of Inequalities

Nonlinear Functions

Discover quadratic, cubic, and absolute value functions, and how to graph and analyze them. 

• Piecewise Functions

• Step Functions

• Absolute Value Functions

• Square Root and Cube Root Functions

• Analyzing and Constructing Nonlinear Functions

Exponential Functions

Understand exponential growth and decay, as well as graphing and solving exponential equations. 

• Exponential Growth and Decay

• Vertical Stretches, Shrinks, and Reflections of Exponential Functions

• Translations of Exponential Functions

• Exponential Functions with Radical Bases

• Geometric Sequences and Exponential Functions

Polynomial Expressions

Add, subtract, multiply, and factor polynomial expressions to simplify and solve problems. 

• Introduction to Polynomials

• Adding and Subtracting Polynomials

• Multiplying Monomials, Binomials, and Polynomials

• Factoring Polynomials

• Greatest Common Factor (GCF)

• Grouping

• Trinomials 

• Difference of Squares

• Sum and Difference of Cubes

• Factoring Completely

Quadratic Functions and Equations

Solve quadratic equations and graph parabolas using the quadratic formula. 

• Introduction to Quadratic Functions

• Forms of Quadratic Functions: Standard, Factored, and Vertex

• Completing the Square

• Quadratic Formula

• Modeling with Quadratic Functions

• Solving Quadratic Equations

• Zero Product Property

• Factoring

• Square Root Property

• Completing the Square

• Using the Quadratic Formula

• Solving Linear-Quadratic Systems

Rational Expressions and Functions

Multiply, divide, and solve rational expressions and equations, and learn their behavior. 

• Simplifying Rational Expressions

• Multiplying and Dividing Rational Expressions

• Adding and Subtracting Rational Expressions

• Solving Rational Equations

• Graphing Rational Functions

• Asymptotes and Discontinuities

Data Analysis and Probability

Our tutors help you study how to collect, represent, and interpret data—you’ll learn how to predict the likelihood of events. 

• Describing Data

• Two-Way Tables and Relative Frequencies

• Measures of Center (Mean, Median, Mode)

• Box Plots and Data Visualization

• Standard Deviation and Variance

• Line of Best Fit

• Residuals and Correlation Strength

• Regression Models

• Basic Probability Rules

• Permutations and Combinations

AP Algebra

Deepen your algebra knowledge and ace your AP Algebra exam by understanding the types of questions and common skills, including complex numbers and conic sections.

• Logarithmic and Exponential Functions

• Inverse Functions

• Advanced Polynomial Functions

• Rational Functions

• Conic Sections

• Sequences and Series

• Complex Numbers

• Probability and Statistics