Maricopa Community Colleges  MAT121   19992-20015 
Official Course Description:   MCCCD Approval:  10/27/98
MAT121      19992-20015 LEC 4 Credit(s) 4 Period(s)
Intermediate Algebra, Standard
Algebraic operations on polynomial, rational, and radical expressions and complex numbers; graph polynomial, exponential and logarithmic functions; solve linear, quadratic, rational and absolute value equations and inequalities algebraically and graphically, solve systems of linear equations algebraically and graphically; and real world applications and use of current technology. May receive credit for only one of the following: MAT120, or MAT121, or MAT122, or (MAT122AA, MAT122AB, and MAT122AC). Prerequisites: Grade of "C" or better in MAT090, or MAT091, or MAT092, or (MAT092AA, MAT092AB, and MAT092AC), or equivalent, or satisfactory score on District placement exam.
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MCCCD Official Course Competencies:
MAT121   19992-20015 Intermediate Algebra, Standard
1. Solve linear equations for specified variables. (I)
2. Model and solve real-world problems using linear equations. (I)
3. Find the slope of a line and the equation of a line. (I)
4. Factor polynomial expressions. (II)
5. Solve real-world problems involving parabolas, exponential and logarithmic functions. (II, VIII)
6. Graph lines, parabolas, exponential, and logarithmic functions. (I, VIII)
7. Use the eleven field properties of the set of real numbers. (II, IV)
8. Solve quadratic equations by factoring, completing the square, and the quadratic formula. (II)
9. Solve quadratic and absolute value inequalities. (II, III)
10. Solve radical equations and equations quadratic in form. (II, V)
11. Add, subtract, multiply, and divide complex numbers. (IV)
12. Apply exponential and logarithmic functions to appropriate real-world problems. (VI)
13. Solve rational equations. (VI)
14. Solve systems of equations with two. (VII)
15. Interpret function notation and the definition of a function. (VIII)
16. Evaluate an expression written with function notation. (VIII)
17. Find the log of a number and rewrite log expressions using the log properties. (VIII)
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MCCCD Official Course Outline:
MAT121   19992-20015 Intermediate Algebra, Standard
    I. Linear Equations and Inequalities
        A. Solving linear equations in one variable
        B. Solving linear equations in two variables
        C. Graphing linear equations in two variables
          1. Slope
          2. Distance formula
        D. Modeling information with a linear equation/applications
        E. Solving linear inequalities
        F. Graphing linear inequalities
      II. Polynomials
          A. Simplifying polynomials
          B. Solving quadratic equations by factoring, completing the square and the quadratic formula
          C. Solving equations quadratic in form
          D. Solving quadratic inequalities
          E. Applications
        III. Absolute Value Equations and Inequalities
            A. Solving absolute value equations/inequalities
            B. Graphing absolute value equations/inequalities
          IV. Radicals
              A. Algebraic operations on radical expressions
              B. Quadratic formula
              C. Extension of the number system to complex numbers
              D. Radicals and rational exponents
              E. Calculator use for approximations of radicals (optional)
            V. Equations and Inequalities with Radicals
                A. Restricted domains
                B. Solving algebraically and graphically
                C. Applications
              VI. Rational Expressions, Equations, and Inequalities
                  A. Restricted domains
                  B. Algebraic operations with rational expressions
                  C. Solving and graphing rational expressions and inequalities
                  D. Applications
                VII. System of Equations
                    A. System in two variables
                    B. Methods of solving
                      1. Graphically
                      2. Algebraically
                    C. Applications
                  VIII. Functions
                      A. Definition and notation
                      B. Graphing lines and parabolas
                      C. General characteristics of polynomial functions
                      D. Exponential and logarithmic functions
                        1. Simplify log and exponential expressions
                        2. Solve exponential and log equations
                        3. Graph exponential and log functions
                        4. Applications
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