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Monday, January 14, 2013
Sunday, January 13, 2013
Open Algebra Study Guide Website
Do you have a student that missed a day? Well... send him a link to that days topic!
Our free algebra study guide makes for a rather useful website. It is coming together quite nicely using Blogger - have a look.
Feel free to share a link, copy-and-paste anything you find there. Also, notice that there are links to videos at the bottom of each page. Hope this helps somebody out there!
Our free algebra study guide makes for a rather useful website. It is coming together quite nicely using Blogger - have a look.
Thursday, December 27, 2012
Intermediate Algebra Course Outline
Below you will find the topics for Intermediate Algebra as published by College of the Sequoias in their course outline:
Absolute Value Equations and Inequalities
Radical Expressions and Equations
Functions
Logarithmic and Exponential Functions
Conic Sections
Optional Topics
Intermediate Algebra (Algebra II)
COURSE TOPICS:Absolute Value Equations and Inequalities
- Solve absolute value equations and inequalities
Radical Expressions and Equations
- Properties of radicals
- Rational exponents
- Simplify radical expressions
- Operations with radicals
- Solve radical equations
- Solve radical equations which come from real-world applications
- Operations with complex numbers
- Solve quadratic equations using factoring, extracting roots, completing the square, and quadratic formula
- Solve applications (for example: max/min problems)
- Graph quadratic equations
- Solve quadratic and rational inequalities
- Solve equations that are quadratic in form
Functions
- Understand and apply the definition of a function
- Function notation
- Apply the vertical and horizontal line tests
- Graph and determine the domain and range of the core functions
- Evaluate and apply the algebra of functions including addition, subtraction, multiplication, division, and composition
- Find the inverse of core functions
Logarithmic and Exponential Functions
- Graph logarithmic and exponential functions
- Apply the properties of logarithmic functions
- Solve logarithmic and exponential equations
- Solve applications of logarithmic and exponential functions including exponential growth and decay, pH, compound and continuous interest, carbon dating, half-life, and earthquake magnitudes
Conic Sections
- Apply the midpoint and distance formulas
- Convert the following conic sections into standard form by completing the square: parabolas, circles, ellipses, and hyperbolas
- Identify and graph the following conic sections: parabolas, circles, ellipses, and hyperbolas
Optional Topics
- Solve 3X3 systems of linear equations
- Solve nonlinear systems of equations
Elementary Algebra Course Outline
Below you will find the topics for Elementary Algebra as published by College of the Sequoias in their course outline:
Numbers and Sets
Solving Linear Equations and Inequalities
Graphing Linear Equations
Systems of Linear Equations & Problem Solving
Exponents and Polynomials
Factoring
Operations and Rational Expressions
Elementary Algebra (Algebra 1)
COURSE TOPICS:Numbers and Sets
- Set or interval notation
- The number line
- Arithmetic and algebraic operations of basic math symbols
- Order of operations
- Simplifying algebraic expressions
Solving Linear Equations and Inequalities
- Solving linear equations
- Evaluating and solving formulas
- Solving single variable word problems
- Solving linear inequalities
Graphing Linear Equations
- Graphing linear equations
- Slope and intercepts
- Find equations of lines
- Parallel and perpendicular lines
- Graphing linear inequalities in two variables
Systems of Linear Equations & Problem Solving
- Solving by graphing, substitution, and addition methods
- Solving applications
- Graphing systems of linear inequalities
Exponents and Polynomials
- Rules of exponents
- Negative exponents
- Scientific notation
- Addition, subtraction, multiplication, and division of polynomials
Factoring
- Greatest common factor
- Trinomials
- Difference of squares
- Difference and sum of cubes
- Factoring by grouping
- Solving polynomial equations by factoring including applications
Operations and Rational Expressions
- Simplification of rational expressions
- Addition, subtraction, multiplication, and division of rational expressions
- Complex rational expressions
- Solving rational equations with applications
- Solving rational literal equations for a given variable
Tuesday, December 18, 2012
Wednesday, October 24, 2012
Sample Algebra Tests
Sample chapter tests to accompany the online Elementary Algebra textbook published by Flat World Knowledge.
Sample Chapter Tests
More worksheets can be found at the bottom of this page.
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Saturday, October 20, 2012
Solving Linear Systems - Sample Intermediate Algebra Test Questions
Sample test questions for Intermediate Algebra - Chapter 3 - Solving Linear Systems have been posted.
Please feel free to use this worksheet or cut-and-paste anything you find here into your course. Below you will find the associated videos for this section. Click on a problem and watch it worked out on YouTube.
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