MTH 070 Elementary Algebra

1. Create mathematical models of abstract and real-world situations using linear equations, linear systems, linear inequalities and quadratic equations.
2. Use inductive reasoning to develop mathematical conjectures involving linear equations, linear systems, linear inequalities, and quadratic equations. Use deductive reasoning to verify and apply mathematical arguments involving these algebraic concepts. Be able to distinguish between the concepts of inductive and deductive reasoning.
3. Use mathematical problem-solving techniques involving linear equations, linear systems, linear inequalities, quadratic equations, and dimensional analysis. Techniques include the use of tabular, graphical, symbolic, and narrative representations.
4. Make mathematical connections to, and solve problems from, other disciplines involving linear equations, linear systems, linear inequalities, quadratic equations, and literal equations.
5. Use oral and written skills to communicate about linear equations, linear systems, linear inequalities, and quadratic equations.
6. Use appropriate technology to enhance mathematical thinking and understanding, to solve mathematical problems involving linear equations, linear systems, linear inequalities, and quadratic equations, and judge the reasonableness of results.

• Linear Equations
  • Review input-output tables and Cartesian coordinate graphs
  • Identify and calculate linear slopes and rates
  • Write equations of a line in slope-intercept form
  • Identify slope and y intercept from an equation of a line
• Represent a line graphically from slope intercept form and using a graphing calculator
  • Solve linear equations using data tables, graphically and symbolically
  • Solve linear equations using a graphing calculator
  • Model linear relationships with an approximation of the line of best fit
  • Applications of rates and linear equations
  • Solve literal equations
• Linear Systems of Equations
  • Solve systems of equations with data tables and graphs
  • Solve systems of equations by substitution
  • Solve systems of equations by elimination
  • Solve systems of equations using a graphing calculator
  • Applications using systems
• Linear Inequalities
  • Define inequality
  • Write an inequality relationship
  • Solve inequalities graphically and symbolically
• Exponents, Polynomials and Other Algebraic Expressions
  • Representations of polynomials
  • Multiplying polynomials using the distributive property
  • Factoring polynomials 
  • Laws of exponents
    • Scientific notation
  • Solve quadratic equations using data tables, graphically, by square root method, by factor method and quadratic formula
  • Solve quadratic equations using a graphing calculator
  • Applications including Pythagorean theorem, distance formula
• Dimensional Analysis
  • Convert between measures of mixed units
  • Use rates to set up the appropriate unit fraction