Maricopa Community Colleges  MAT075   19954-19965 
Official Course Description: MCCCD Approval: 12/13/94
MAT075 19954-19965 LEC 5 Credit(s) 5 Period(s)
Developmental Algebra
Beginning algebra from a developmental perspective. Intended for those who have never , or not recently, taken algebra in high school. May not receive credit for both MAT075 and MAT077. Prerequisites: Grade of "C" or better in MAT055, or equivalent, or satisfactory score on District placement exam.
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MCCCD Official Course Competencies:
 
MAT075   19954-19965 Developmental Algebra
1. Identify, interpret, and use mathematical words, phrases, and symbols in the context of the real number system. (I)
2. Perform the operations of addition, subtraction, multiplication, division, and exponentiation. (I)
3. Determine the solution set of a linear equation or a linear inequality by algebraic means. (II)
4. Derive a solution to an applied problem by algebraic methods. (II)
5. Perform factoring and the operations of addition, subtraction, multiplication, division, and exponentiation on polynomial expressions. (III)
6. Solve a quadratic equation by factoring. (IV)
7. Perform the operations of addition, subtraction, multiplication, division, and exponentiation on rational expressions. (V)
8. Graph linear equations with two variables. (VI)
9. Determine algebraically the solution of a system of two linear equations in two unknowns. (VII)
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MCCCD Official Course Outline:
 
MAT075   19954-19965 Developmental Algebra
    I. Real numbers
        A. Fractions
        B. Exponents and order of operations
        C. Variables and equations
        D. Real numbers and the number line
        E. Addition of real numbers
        F. Subtraction of real numbers
        G. Multiplication of real numbers
        H. Division of real numbers
        I. Properties of addition and multiplication
      II. Solving linear equations
          A. Simplifying expressions
          B. Addition and multiplication properties of equality
          C. More on solving linear equations
          D. Applications of linear equations
          E. Formulas
          F. Ratio and proportion
          G. Applications of percent
            1. Mixture
            2. Interest
            3. Money
          H. Further word problems (optional)
          I. Addition and multiplication properties of inequality
        III. Polynomials
            A. Working with polynomials
            B. Exponents
            C. Multiplication of polynomials
            D. Special products
            E. Quotient rule and integer exponents
            F. The quotient of a polynomial and a monomial
            G. The quotient of two polynomials
            H. Scientific notation
          IV. Factoring
              A. Greatest common factor
              B. Factoring trinomials
              C. Special factorization
              D. Solving quadratic equations
              E. Applications of quadratic equations
              F. Solving quadratic inequalities (optional)
            V. Rational expressions
                A. The fundamental property of rational expressions
                B. Multiplication and division of rational expressions
                C. The least common denominator
                D. Addition and subtraction of rational expressions
                E. Complex fractions (optional)
                F. Equations involving rational expressions
                G. Applications of rational expressions
              VI. Graphing
                  A. Linear equations in two variables
                  B. Graphing linear equations
                VII. Systems of equations
                    A. Solving systems of linear equations by graphing
                    B. Solving systems by addition (optional)
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