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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