Algebra 090

Pre-requisite/Co-requisite: MAT 060 or appropriate math placement score.

Course Description

Course topics will include basic review of first-degree equations, inequalities, formulas, polynomials, algebraic fractions, factoring polynomials, solving quadratic equations by factoring, and applications.  Coordinate geometry, graphing linear equations and inequalities, and systems of linear equations may be included.

Required Learning Resources

• Beginning Algebra, 9^th edition, Lial, Hornsby, and Miller
• An inexpensive scientific calculator is recommended
• Graph paper is needed

Outline View: The outline below does not represent the order of presentation and was taken verbatim for the CCCS guidelines.

1. Demonstrate knowledge and usage of first-degree equations and inequalities
   1. Solve first degree equations including those involving fractions, decimals, ratio, proportion, percent.
   2. Check the solution of first degree equations.
   3. Solve first degree inequalities.
   4. Graph solutions for first degree inequalities.
   5. Define the unknowns when solving a word problem.
   6. Translate word problems into algebraic equations or inequalities.
   7. Solve word problems and summarize results using a complete sentence.
   8. Apply formulas in calculating perimeter/circumference and area of plane geometric figures.
   9. Evaluate formulas for given values of the variables.
   10. Solve a formula for a specified variable.
   11. Solve word problems that apply formulas.
2. Demonstrate knowledge and usage of polynomials.
   1. Determine the degree of a polynomial.
   2. Add and subtract polynomials.
   3. Multiply monomials.
   4. Multiply a monomial by a polynomial.
   5. Multiply a binomial by another binomial.
   6. Divide polynomials by monomials and binomials.
   7. Simplify expressions containing positive, zero, and negative exponents.
   8. Change notation from standard decimal form to scientific notation and vice versa.
   9. Apply scientific notation and properties of exponents to simplify expressions.
3. Demonstrate knowledge and usage of factoring.
   1. Factor out the greatest common monomial factor.
   2. Factor the difference of two squares.
   3. Factor trinomials of the form x2 + bx + c.
   4. Factor trinomials of the form ax2 + bx + c.
   5. Apply the zero product property to solve quadratic equations.
   6. Solve word problems that require quadratic equations.
4. Demonstrate knowledge and usage of algebraic fractions.
   1. Simplify algebraic fractions.
   2. Add, subtract, multiply, and divide algebraic fractions.
   3. Solve fractional equations.
   4. Solve application problems involving fractions.
5. Demonstrate knowledge and usage of coordinate geometry. (Optional)
   1. Graph linear equations and inequalities in two variables using the Cartesian coordinate system.
   2. Determine the slope of a line when given two points or the equation of a line.
   3. Determine the equation of a line given a set of geometric conditions pertaining to the line.
6. Demonstrate a knowledge and usage of linear systems. (Optional)
   1. Solve systems of linear equations by graphing, the addition method, and the substitution method and identify the system as consistent, inconsistent, or dependent.
   2. Solve application problems using two variables.

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