# Intermediate Algebra Course Syllabus

**2 LINEAR EQUATIONS , INEQUALITIES, AND APPLICATIONS**

Topics to be covered include: linear equations in one variable and formulas with applications. The unit concludes with absolute value equations and inequalities.

**2.1 Linear Equations in One Variable
54**

**2.2 Formulas 63**

**2.3 Applications of Linear Equations
73**

**2.5 Linear Inequalities in One Variable
99**

**2.7 Absolute Value Equations and Inequalities
113**

**3 GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS**

Topics to be covered include: graphing lines in the coordinate plane , the slope of a line, equations of a line, linear inequalities and their graphs, relations and functions. The section concludes with variation.

**3.1 The Rectangular Coordinate System
148**

**3.2 The Slope of a Line
161**

**3.3 Linear Equations in Two Variables
176**

**3.4 Linear Inequalities in Two Variables
193**

**3.5 Introduction to Functions
200**

**EXAMINATION 1: COVERS CHAPTER 2 & 3 (1.5 hours)**

**4 SYSTEMS OF LINEAR EQUATIONS**

Topics to be covered include: solving systems by graphing, elimination, and substitution methods . This unit only considers a two by two systems of linear equation.

**4.1 Systems of Linear Equations in Two Variables****
228**

5 EXPONENTS, POLYNOMIALS, & POLYNOMIAL FUNCTIONS

Topics to be covered include: integer exponents, scientific notation, polynomial functions. This unit concludes with multiplying, and dividing polynomials .

**5.1 Integer Exponents and Scientific Notation
286**

**5.3 Polynomial Functions
308**

**5.4 Multiplying Polynomials
318**

**5.5 Dividing Polynomials
327**

**6 FACTORING**

Topics to be covered include: factoring out the GCF , factoring the difference of two squares, factoring the general trinomial, factoring the sum and difference of two cubes, and factoring by grouping.

**6.1 Greatest Common Factors; Factoring by Grouping
346**

**6.2 Factoring Trinomials
352**

**6.3 Special Factoring
360**

**6.4 A General Approach to Factoring
366**

**6.5 Solving Equations by Factoring
370**

**EXAMINATION 2: COVERS CHAPTERS 4, 5 & 6 (1.5 hours)**

**7 RATIONAL EXPRESSIONS AND FUNCTIONS**

Topics to be covered include: rational expressions and functions; multiplying, dividing, adding and subtracting rational expressions; complex fractions . The unit concludes with equations involving rational expressions and applications of rational expressions.

**7.1 Rational Expressions and Functions; Multiplying and
Dividing 390**

**7.2 Adding and Subtracting Rational Expressions
401**

**7.3 Complex Fractions
411**

**7.4 Equations with Rational Expressions and Graphs
418**

**7.5 Applications of Rational Expressions
428**

**8 ROOTS, RADICALS, AND ROOT FUNCTIONS**

Topics to be covered include: Radical expressions and exponents; simplifying radical expressions; adding, subtracting, multiplying and dividing radical expressions; solving equations involving radical expressions. This unit concludes with complex numbers.

**8.1 Radical Expressions and Graphs
466**

**8.2 Rational Exponents
474**

**8.3 Simplifying Radical Expressions
482**

**8.4 Adding and Subtracting Radical Expressions
492**

**EXAMINATION 3: COVERS CHAPTERS 7 & 8.1 -8.4 (1.5 hours)**

**8.5 Multiplying and Dividing Radical Expressions
498**

**8.6 Solving Equations with Radicals
508**

**8.7 Complex Numbers 516**

**9 QUADRATIC EQUATIONS, INEQUALITIES, & FUNCTIONS (3
hours)**

Topics to be covered include: solving quadratic equations by the square root property, completing the square, and the quadratic formula; vertical parabolas . This unit concludes with quadratic and rational inequalities.

**9.1 The Square Root Property and Completing the Square
538**

**9.2 The Quadratic Formula
549**

**9.6 More about Parabolas; Application (omit horizontal
parabolas) 589**

**EXAMINATION 4: CHAPTERS 8.5, 8.7 & SECT 9.1, 9.2, 9.6
(1.5 hours)**

**REFVIEW FOR FINAL EXAMINATION: CHAPTERS 2 − 9.6 (1.5
hours)**

**COMPREHENSIVE FINAL EXAMINATION: CHAPTERS 2 − 9.6 (2
hours)**

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