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INTERMEDIATE ALGEBRA

COURSE DESCRIPTIONS:

This course includes the following topics: properties of
numbers
, fundamental operations with algebraic
expressions; polynomials ; systems of equations ; ratio
and proportion ; factoring; functions; graphs; solutions of
linear
inequalities ; and linear and quadratic equations.

METHOD OF INSTRUCTION:

This course will be taught via the internet. The concepts
will be instructor led by students reading, watching, and/
or exploring using an internet-based math tutorial and a
textbook.

GRADING SYSTEM:

COURSE COMPETENCIES & OBJECTIVES:

Upon satis factory completion of this course, the student will be able to:

I. Solve quadratic equations.
 1. Review general factoring strategy.

II. Solve and perform basic operations with rational expressions
 1. Apply rules of rational expressions to reduce rational expressions.
 2. Apply rules of rational expressions to multiply and divide rational expressions.
 3. Apply rule of rational expressions to add and subtract rational expressions.
 4. Solve equations containing rational expressions.

III. Graph linear equations.
 1. Graph linear equations
 2. Employ special forms of linear equations.
 3. Evaluate an expression using functional notation.

IV. Solve systems of linear equations in two variables.
 1. Graph the solution of a system of linear equations.
 2. Solve systems of linear equations in two variables.
 3. Solve word problems involving systems of linear equations.

V. Apply properties of rational exp onents and radicals
 1. Apply rules of rational exponents to evaluate expressions.
 2. Apply rules of radical notation to evaluate radical expressions
 3. Apply the rules of rational exponents to evaluate expressions.

VI. Solve quadratic equations.
 1. Solve quadratic equations by factoring.
 2. Solve quadratic equations by extraction of roots.
 3. Solve quadratic equations by completing the square .
 4. Solve quadratic equations by the quadratic formula .
 5. Classify the graphs of a parabola and calculate maximum or minimum.
 6. Solve applications of quadratic equations.

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  • finding LCM and GCF
  • (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)

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