Maricopa Community Colleges  MAT120   19976-19986 
Official Course Description:   MCCCD Approval:  03/25/97  
MAT120      19976-19986 LEC 5 Credit(s) 5 Period(s)
Intermediate Algebra with Review
A combination of intermediate algebra and review of topics prerequisite to intermediate algebra. 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 MAT122. Prerequisites: Grade of "C" or better in MAT090, or MAT091, or MAT092, or equivalent, or satisfactory score on District placement exam.
 
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MCCCD Official Course Competencies:
 
MAT120   19976-19986 Intermediate Algebra with Review
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. Graph lines, parabolas, exponential, and logarithmic functions. (I, VIII)
5. Factor polynomial expressions. (II)
6. Solve real-world problems involving parabolas, exponential and logarithmic functions. (II, 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. Apply exponential and logarithmic functions to appropriate real-world problems. (VI)
12. Solve rational equations. (VI)
13. Solve systems of equations with two. (VII)
14. Add, subtract, multiply, and divide complex numbers. (IV)
15. Evaluate an expression written with function notation. (VIII)
16. Find the log of a number and rewrite log expressions using the log properties. (VIII)
17. Evaluate polynomial expressions. (IX)
18. Perform the basic operations of addition, subtraction, multiplication, and division with polynomial and rational expressions. (IX)
19. Interpret function notation and the definition of a function. (VIII)
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MCCCD Official Course Outline:
 
MAT120   19976-19986 Intermediate Algebra with Review
    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
                    IX. Algebraic Operations
                        A. Basic operations on algebraic expressions
                        B. Evaluation of algebraic expressions
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