DVM 1193, Intermediate Algebra Learning Objectives


Computational:


    


  1. Evaluate a function using function notation.
    2. 

  2. Find the domain of a function.
    3. 

  3. Perform elementary arithmetic operations with functions.
    4. 

  4. Perform elementary arithmetic operations with rational expressions that
    5. 

  5. require factoring up to and including the sum or difference of cubes.
    6. 

  6. Simplify a complex fraction with negative exponents.
    7. 

  7. Simplify an expression with fractional exponents.
    8. 

  8. Simplify a radical containing a monomial or binomial denominator.
    9. 

  9. Perform elementary arithmetic operations with complex numbers.



Equation Solving:


    


  1. Solve an absolute value equation.
    2. 

  2. Solve a system of 3 linear equations in 3 unknowns.
    3. 

  3. Solve an equation with quadratic expressions in the denominator.
    4. 

  4. Solve an equation with one radical.
    5. 

  5. Recognize an extraneous root.
    6. 

  6. Rewrite and solve simple log equations.



Using Forms and Formulas


    


  1. Graph a function, such as a simple absolute value or rational function, by completing a table and plotting points.
    2. 

  2. Find the equation of a line when given its slope and a point on the line or any two points on the line.
    3. 

  3. Find the equation of a line through a point that is parallel or perpendicular to a given line.
    4. 

  4. Solve a quadratic equation with non-real solutions.
    5. 

  5. Find the midpoint and the distance between two points.
    6. 

  6. Complete a square to rewrite an equation for a circle in standard form and identify its center and radius.
    7. 

  7. Determine if a formula, correspondence, table or graph represents a function.



Graphing:


    


  1. Graph a linear inequality on the cartesian plane.
    2. 

  2. Graph a system of linear inequalities on the cartesian plane.
    3. 

  3. Graph and analyze a linear and quadratic function.
    4. 

  4. Sketch a quadratic function, written in the form f(x)=a(x-h)^2+k, using transformations.
    5. 

  5. Graph exponential and log functions using tables.
    6. 

  6. Sketch a circle from its standard form.



Applications:


    


  1. Represent English descriptions of numerical relationships in algebraic form.
    2. 

  2. Solve application problems including, but not limited to, linear and quadratic models, direct and inverse variation, and those requiring 2X2 and 3X3 systems of linear equations.



 


Last updated January 23, 1999. Bob Quigley