Algebra Resources
There are three types of algebra materials listed below: a) downloadable files in PDF format that I have created as part of my tutoring business; b) external links to specific articles; and c) external links to websites containing a variety of materials. These items are grouped by mathematical category. You may scroll to the desired category using the menu in the right sidebar.
Algebra Basics <back to top>
- Algebraic Terms, Expressions, and Equations
This PDF document defines common mathematical terminology.
- Khan Academy Ratios and Proportions
The Khan Academy provides numerous videos on ratios and proportions.
Solving Equations <back to top>
- Equation Solving Steps
This PDF document identifies the steps for solving simple algebraic equations.
- How to Solve Word Problems
This PDF document identifies the steps for solving word problems.
- How to Solve Work-Related Word Problems
A website describing the steps in solving word problems involving work-related problems.
- Khan Academy Linear Equation and Inequality Solving
The Khan Academy provides numerous videos for solving linear equations and inequalities.
Solving Systems of Equations and Inequalities<back to top>
- Steps for Solving Systems of Equations
This PDF document identifies the steps for solving systems of (simultaneous) equations using graphing, elimination, and matrices.
- Khan Academy Systems of Equations Tutorials
The Khan Academy provides numerous videos for solving systems of equations.
- Khan Academy Systems of Inequalities Tutorials
The Khan Academy provides numerous videos for solving systems of inequalities.
General Functions <back to top>
- Function Summary
This PDF document identifies the basic properties of the most common function types.
- Reference Functions
This PDF document identifies the basic reference functions.
- Function Transformations
This PDF document identifies the basic function transformations (reflection, stretch/compress, and translation).
- Function Transformation Order of Operations
This PDF file describes when the order in which function transformations (reflection, stretch/compress, and translation) are performed affects the result.
- Khan Academy Function Properties
The Khan Academy provides numerous videos on function properties.
Linear Functions <back to top>
- Line Equation Review
This PDF document lists the methods (slope-intercept, point-slope, etc.) for defining equations of lines.
- Khan Academy Graphing Linear Function Videos
The Khan Academy provides numerous videos for graphing linear functions.
Factoring and Polynomials <back to top>
- Polynomial Factoring
This PDF document identifies the basic steps in factoring a polynomial.
- Khan Academy Factoring and Polynomials Properties
The Khan Academy provides numerous videos on factoring and polynomial properties.
Quadratic Functions <back to top>
- Factoring Quadratic Polyomials
This PDF document identifies the steps for factoring quadratic polynomials.
- Quadratic Approaches
This PDF document identifies the steps for factoring and solving quadratic equations and quadratic functions.
- Solving Quadratic Equations
This PDF document identifies the steps for solving quadratic equations.
- Khan Academy Quadratic Expressions and Functions
The Khan Academy provides numerous videos on factoring, solving, and graphing quadratic expressions, equation, and functions.
Inequalities <back to top>
- Graphing and Solving Inequalities
This PDF document identifies the steps for graphing and solving 1-D and 2-D inequalities.
- Khan Academy Linear Inequality Tutorials
The Khan Academy provides numerous videos for solving linear inequalities.
Exponents <back to top>
- Exponent Rules
This PDF document identifies the basic rules involving exponents.
- Exponent Function
This PDF document identifies the basic characteristics of exponent functions.
- Exponential Equations
This PDF document identifies the basic steps in solving exponential equations.
- Khan Academy Exponent and Radical Properties
The Khan Academy provides numerous videos on exponent rules, properties, and equations.
- Khan Academy Radical Equations
The Khan Academy provides numerous videos on radical equations.
Logarithms <back to top>
- Logarithm Rules
This PDF document identifies the basic rules involving logarithms.
- Logarithm Function
This PDF document identifies the basic characteristics of logarithm function.
- Logarithmic Equations
This PDF document identifies the basic steps in solving logarithmic equations.
- Khan Academy Logarithm Properties and Equation-Solving
The Khan Academy provides numerous videos on logarithmic properties and equation-solving.
Rational Functions <back to top>
- Simplifying Rational Expressions
This PDF document identifies the basic steps in simplifying, adding, subtracting, multiplying, dividing, and solving basic rational expressions.
- Rational Function Asymptotes
This PDF document identifies methods for identifying rational function asymptotes.
- Khan Academy Rational Function Videos
The Khan Academy provides numerous videos on rational expressions, functions, and equations.
Conic Sections <back to top>
- Conic Section Properties
This PDF document describes the basic properties of conic sections (circle, ellipse, parabola, and hyperbola).
- Classifying Conic Sections
This PDF document describes how to classify the basic conic sections (circle, ellipse, parabola, and hyperbola).
- Khan Academy Conic Section Properties
The Khan Academy provides numerous videos on conic section properties.
Complex Numbers <back to top>
- Khan Academy Complex Number Properties
The Khan Academy provides numerous videos on complex number properties.
Matrices <back to top>
- Khan Academy Matrix Properties
The Khan Academy provides numerous videos on matrix properties.
Reference Sites <back to top>
- Montgomery County Algebra I Resources
Montgomery County Maryland Algebra I curricula and practice exams.
- Montgomery County Algebra II Resources
Montgomery County Maryland Algebra II curricula and practice exams.
- Montgomery County Bridge to Algebra II Resources
Montgomery County Maryland Bridge to Algebra II curricula and practice exams.
Worksheets <back to top>
- Kuta Prealgebra Practice Worksheets
Kuta Software provides numerous practice worksheets for prealgebra.
- Kuta Algebra I Practice Worksheets
Kuta Software provides numerous practice worksheets for Algebra I.
- Kuta Algebra II Practice Worksheets
Kuta Software provides numerous practice worksheets for Algebra II.
Videos & Tutorials <back to top>
- Khan Academy Algebra Videos
The Khan Academy provides numerous videos for algebra topics. This is the general link; more specific links are listed in the sections above.
- PurpleMath Mini-Tutorials
PurpleMath provides numerous mini-tutorials for algebra topics.
Articles & Books <back to top>
- How to Solve It
George Polya's How to Solve It provides a framework for teaching mathematics problem solving. It is geared toward the more advanced mathematics student, but some of the information is accessible by all.
