Math Skills Center

# Math 072: Intermediate Algebra

Our three-credit course covers mid-level algebraic functions. It is a prerequisite for MATH 106, MATH 112, MATH 115, 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.

## 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:
*x*² +*bx*+*c*

- 4.5 Factoring trinomials: a
*x*² +*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) = a*x² +*bx*+*c* - 7.8 Polynomial inequalities

### Chapter 8: Exponential functions

- 8.1 Exponential functions
- 8.6 Solving exponential equations