 # 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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