ALGEBRA I
Comprehensive Algebra I Course
Contents
Concept Development
Basics
Writing variable expressions
Order of operations
Evaluating expressions
Number sets
Adding rational numbers
Adding and subtracting rational numbers
Multiplying and dividing rational numbers
The distributive property
Combining like terms
Percent of change
Equations
Onestep equations
Twostep equations
Multistep equations
Absolute value equations
Radical equations
Rational equations
Solving proportions
Percent problems
Distanceratetime word problems
Mixture word problems
Work word problems
Literal Equations
Inequalities
Graphing onevariable inequalities
Onestep inequalities
Twostep inequalities
Multistep inequalities
Compound inequalities
Absolute value inequalities
Linear Equations and Inequalities
Finding slope from a graph
Finding slope from two points
Finding slope from an equation
Graphing lines using slopeintercept form
Graphing lines using standard form
Writing linear equations
Graphing absolute value equations
Graphing linear inequalities
Exponents
Exponential functions and graphs
Properties of exponents
Writing numbers in scientific notation
Operations with scientific notation
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Polynomials
Naming polynomials
Adding and subtracting polynomials
Multiplying polynomials
Multiplying special case polynomials
Factoring quadratic polynomials
Factoring special case polynomials
Factoring by grouping
Dividing polynomials
Systems of Equations and Inequalities
Solving systems of equations by graphing
Solving systems of equations by elimination
Solving systems of equations by substitution
Systems of equations word problems
Graphing systems of inequalities
Radical Expressions
Simplifying radicals
Adding and subtracting radical expressions
Multiplying radicals
Dividing radicals
Using the distance formula
Using the midpoint formula
Solving radical equations
Quadratic Functions
Graphing quadratic functions
Graphing quadratic inequalities
Completing the square
Solving quadratic equations
by taking square roots
by factoring
with the quadratic formula
by completing the square
Rational Expressions
Simplifying rational expressions
Finding excluded values / restricted values
Multiplying rational expressions
Dividing rational expressions
Dividing polynomials
Adding and subtracting rational expressions
Solving rational equations
Trigonometry
Finding trig. ratios
Finding angles of triangles
Finding side lengths of triangles
Word Problems
Distanceratetime word problems
Mixture word problems
Work word problems
Systems of equations word problems
Statistics
Visualizing data
Center and spread of data
Scatter plots
Using statistical models
Content Practice
NUMBERS, OPERATIONS AND PROPERTIES
Identifying Properties
EXPRESSIONS AND EQUATIONS
Dependent and Independent Variables
Modeling Expressions
Solving Linear Equations
Modeling Linear Equations
Transforming Formulas
RATE
Conversions
Using Rate
Speed
Rate of Change
LINEAR EQUATIONS
Modeling Linear Functions
Graphing Linear Functions
Writing Linear Equations
INEQUALITIES
Solving Linear Inequalities
Interpreting Solutions
Modeling Linear Inequalities
Graphing Linear Inequalities
ABSOLUTE VALUE
Graphing Absolute Value Functions
QUADRATICS
Solving Quadratics
Using the Discriminant
Modeling Quadratics
Geometric Applications of Quadratics
Vertex Form of a Quadratic
Graphing Quadratic Functions
POWERS
Modeling Exponential Functions
Graphing Exponential Functions
POLYNOMIALS
Identifying Solutions
Operations with Polynomials
Factoring Polynomials
Factoring the Difference of Perfect Squares
Zeros of Polynomials
Graphing Polynomial Functions
RADICALS
Operations with Radicals
Graphing Root Functions
SYSTEMS
Solving Linear Systems
Modeling Linear Systems
Graphing Linear Systems
Modeling Systems of Linear Inequalities
Graphing Systems of Linear Inequalities
QuadraticLinear Systems
Other Systems
FUNCTIONS
Defining Functions
Functional Notation
Evaluating Functions
Domain and Range
Operations with Functions
Families of Functions
Transformations with Functions
Comparing Functions
Relating Graphs to Events
Graphing PiecewiseDefined Functions
Graphing Step Functions
SEQUENCES AND SERIES
Sequences
GRAPHS AND STATISTICS
Central Tendency and Dispersion
Frequency Tables
Frequency Histograms
Box Plots
Dot Plots
Scatter Plots
Analysis of Data
Regression
Correlation Coefficient
Residuals
Practice Test

10+ Practice Test and Review
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