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Introduction to Algebra

The syllabus and assignment calendar for Introduction to Algebra can be found on the left sidebar.  

 

Student Learning Outcomes:

 

  1. Add, subtract, multiply, and divide polynomials.

  2. Factor polynomials.

  3. Simplify, multiply and divide rational expressions.

  4. Simplify expressions using definitions and laws of integer exponents.

  5. Sketch graphs of linear relations and determine a linear equation in two variables given pertinent information.

  6. Solve linear equations and inequalities in one variable and compound inequalities in one variable.

  7. Solve quadratic equations using the factoring method.

  8. Solve systems of linear equations in two variables, including applications.

  9. Use linear equations to solve applications.

  10. Find the slope and x- and y- intercepts of a linear relation.

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                 Articles  

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  • Week 1 - Multiplying and Division of Real Numbers

    • Exponents and Order of Operations​

    • Addition Property of Equality

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  • Week 2 - Multiplication of Equality

    • Solving Linear Equations​

    • Formulas and Percent

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  • Week 3 - Introduction to Problem Solving

    • Solving Linear Inequalities​

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  • Week 4 - Review, Assessment 

    • Graphing Linear Equations in Two Variables​

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  • Week 6 - Point-Slope Form of th Equation of a Line

    • Solving Systems of Linear Equations by Graphing​

    • Solving Systems of Linear Equations by Substitution

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  • Week 7 - Solving Systems of Linear Equations by Addition

    • Problem Solving Using Systems of Equations​

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  • Week 8 - Review, Assessment

    • Adding and Subtracting Polynomial

  • Week 9 - Multiplying Polynomials

    • Special Products​

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  • Week 10  - Polynomials in Several Variables

    • Dividing Polynomials​

    • Long Division of Polynomials, Synthetic Division

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  • Week 11 - Review, Assessment

    • Negative Exponents and Scientific Notation​​

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  • Week 12 - Greatest Common Factor and Factoring by Grouping

    • Factor Trinomials Whose Leading Coefficient is 1​

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  • Week 13 -  Factor Trinomials Whose Leading Coefficient is Not 1

    • Factoring Special Forms​

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  • Week 14 - General Factoring Strategy

    • Solving Quadratic Equations by Factoring​

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  • Week 15 - Review, Assessment

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  • ​Week 16 - Final Exam​

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For a better understanding of what we cover each week for an online course, here are the weekly assignment topics. Before each graded assessment, there are one or more quizzes and / or formative (ungraded) quizzes with immediate feedback.

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