Math Skills Center

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Math 072: Intermediate Algebra

Our three-credit course covers mid-level algebraic functions. It is a prerequisite for MATH 112, MATH 115, MATH 196 or MATH 201.

We emphasize problem-solving, writing to explain methods and solutions and collaborative learning. Class time is spent on the content topics listed below.

Your instructor will post a calendar, syllabus and course assignments on their D2L Brightspace. Tutoring is available for enrolled students in the Math Skills Center, CH 224, as well as through the Academic Learning Center.

Required course materials

  • MyMathLab subscription.
  • One of the following scientific calculators: Texas Instruments 30X IIS, Texas Instruments 30XA or Casio Fx-260. No other calculators (including graphing calculators) are allowed.
  • To view and print course materials you will need to install the free Adobe Acrobat Reader on your computer if you do not already have it.

Unit 1

Review chapter: Basic algebra

  • R.1 The set of real numbers
  • R.2 Operations with real numbers
  • R.3 Exponents and order of operations
  • R.4 Algebraic expressions
  • R.5 Equivalent expressions
  • R.6 Simplifying expressions
  • R.7 Exponents and scientific notation

Chapter 1: Solving linear equations and inequalities

  • 1.1 Solving equations
  • 1.2 Formulas and applications
  • 1.3 Applications and problem solving
  • 1.4 Sets, inequalities, and interval notation
  • 1.6 Absolute-value equations

Chapter 2: Graphs, functions, and applications

  • 2.1 Graphs of equations
  • 2.2 Functions and graphs
  • 2.3 Finding domain and range
  • 2.4 Graphs and slope
  • 2.5 More graphing
  • 2.6 Finding equations of lines; applications

Unit 2

Chapter 3: Systems of equations

  • 3.1 Systems of equations in two variables
  • 3.2 Solving by substitution
  • 3.3 Solving by elimination
  • 3.4 Solving applied problems: two equations
  • 3.5 Systems of equations in three variables
  • 3.7 Systems of inequalities in two variables

Chapter 4: Polynomials and polynomial functions

  • 4.1 Polynomials and polynomial functions
  • 4.2 Multiplication of polynomials
  • 4.3 Introduction to factoring
  • 4.4 Factoring trinomials: x² +bx+c
  • 4.5 Factoring trinomials: ax² +bx+c, a≠ 1
  • 4.6 Special factoring
  • 4.7 Factoring: A general strategy
  • 4.8 Applications of polynomial equations and functions

Unit 3

Chapter 5: Rational expressions, equations, functions

  • 5.1 Simplifying rational expressions and functions
  • 5.2 LCMs, LCDs, addition, and subtraction
  • 5.3 Division of polynomials
  • 5.4 Complex rational expressions
  • 5.5 Solving rational equations
  • 5.6 Applications and proportions
  • 5.7 Formulas and applications

Chapter 6: Radical expressions, equations, functions

  • 6.1 Radical expressions and functions
  • 6.2 Rational numbers as exponents
  • 6.3 Simplifying radical expressions
  • 6.4 Addition, subtraction, and more multiplication
  • 6.5 More on division of radical expressions
  • 6.6 Solving radical equations

Unit 4

Chapter 7: Quadratic equations and functions

  • 7.1 The basics of solving quadratic equations
  • 7.2 The quadratic formula
  • 7.3 Applications involving quadratic equations
  • 7.4 More on quadratic equations
  • 7.5 Graphing f(x) = a(x - h)²+ k
  • 7.6 Graphing f(x) = ax² +bx+c
  • 7.8 Polynomial inequalities

Chapter 8: Exponential functions

  • 8.1 Exponential functions
  • 8.6 Solving exponential equations