Table of Contents
-
Operations and Expressions
- Order of Operations: Evaluate Numerical Expressions
- Order of Operations: Exponents
- Order of Operations: Decimals
- Writing Algebraic Expressions
- Evaluating Algebraic Expressions
- Properties of Operations over the Real Numbers
- Evaluating Numerical Expressions: Distributive Property
- Dependent and Independent Variables
- Linear Relationships
- Relations and Functions
- Sets
-
Linear Equations and Inequalities
- Introduction to Equations
- Two-Step Equations
- Linear Equations with Variables on Both Sides
- Absolute Value Equations
- Introduction to Inequalities
- Determining Whether an Inequality Is True or False
- Two-Step Linear Inequalities
- Inequalities and Interval Notation
- Multistep Inequalities
- One-Variable Absolute Value Inequalities
- Multistep Equations
- Replacement Set
- Changing the Subject of a Formula
- Ratio and Proportion
-
Systems of Linear Equations and Inequalities
- Solution Cases of System of Linear Equations
- Solving Systems of Linear Equations Using Substitution
- Solving Systems of Linear Equations by Omitting a Variable
- Solving Systems of Linear Equations Graphically
- Applications on Systems of Linear Equations
- Applications on Systems of Linear Equations in Three Variables
- Linear Programming
- Solving Systems of Linear Inequalities
- Applications on Systems of Inequalities
- Two-Variable Linear Inequalities
-
Linear Functions
- Function Rules
- Linear Functions
- Linear and Nonlinear Functions
- Graphing Linear Functions
- Solving Linear Equations Using Function Graphs
- Slope and Rate of Change
- Slope of a Line from a Graph or a Table
- Slope of a Line through Two Points
- Slopes and Intercepts of Linear Functions
- Linear Functions in Different Forms
- Equation of a Straight Line: Slope–Intercept Form
- Equation of a Straight Line: Standard and Point–Slope Forms
- Equation of a Straight Line: General Form
- Applications of Linear Functions
- Correlation and Scatter Plots
-
Exponents and Exponential Functions
- Power and Exponents over the Real Numbers
- Laws of Exponents over the Real Numbers
- Simplifying Expressions: Rules of Exponents
- Fractional Exponents
- Simplifying Algebraic Expressions: Negative and Fractional Exponents
- Simplifying Exponential Expressions with Rational Exponents
- Scientific Notation
- Number Operations in Scientific Notation
- Exponential Functions
- Graphs of Exponential Functions
- Applications of Exponential Functions
- Compound Interest
- Exponential Growth and Decay
- Exponential Growth and Decay Models
- Sequences
-
Polynomials
- Identifying Polynomials
- Monomials, Binomials, and Trinomials
- Degree and Coefficient of Polynomials
- Simplifying Expressions: Combining Like Terms
- Distributive Property Applications
- Multiplying Polynomials Using Area Models
- Simplifying Monomials: Multiplication
- Multiplying an Algebraic Expression by a Monomial
- Multiplying Binomials
- Multiplying a Binomial by an Algebraic Expression
- Simplifying Monomials: Quotient Rule
- Expanding an Expression to a Difference of Two Squares
- The Greatest Common Factor of Monomials
- Factoring Using the Highest Common Factor
- Factoring Monic Quadratics
- Factoring Perfect Square Trinomials
- Factoring by Grouping
- Factoring Nonmonic Quadratics
- Completing the Square
-
Quadratic Functions
- Difference of Two Squares
- Sum and Difference of Two Cubes
- Graphing Quadratic Functions
- Features of Quadratic Functions
- Solving Quadratic Equations Graphically
- Solving Quadratic Equations: Taking Square Roots
- Solving Quadratics: Completing the Square
- Solving Quadratic and Quadratic-Like Equations by Factoring
- Solving Quadratic Equations: Factoring
- Solving Quadratic Equations: Quadratic Formula
- Applications of Quadratic Equations
- Quadratic Functions in Different Forms
- Discriminants of Quadratics
- Solving Systems of Quadratic Equations
- Linear–Quadratic Systems of Equations
- Combining Functions
-
Statistics
- Dot Plots
- Line Graphs
- Bar Graphs with Nonunit Scales
- Frequency Tables
- Histograms
- Quartiles of a Data Set
- Mean, Median, and Mode
- Best Measure of Central Tendency
- Range of a Data Set
- Comparing Data
- Interquartile Range
- Box-and-Whisker Plots
- Comparing Two Distributions Using Box Plots
- Cumulative Frequency Graphs
- Outliers of a Data Set
- Standard Deviation of a Data Set
- Sample and Population Standard Deviation
- Biased versus Unbiased Samples
- Stem-and-Leaf Plots
