Mathematics Computation
Mathematics Computation
Mathematics Computation 1
Addition of Whole Numbers
Addition Facts 1
Addition Facts 1: Tutorial
Addition Facts 1: Drill
Addition Facts 1: Mastery Tests
Addition Facts 2
Addition Properties
Addition Skills 1
Addition Skills 2
Addition Skills 3
Addition Skills 4
Addition of Fractions
Meaning of Fractions
Meaning of Fractions: Tutorial
Meaning of Fractions: Drill
Meaning of Fractions: Mastery Tests
Equivalent Fractions
Comparing Fractions
Improper Fractions and Mixed Numbers
Adding and Subtracting Fractions 1
Adding and Subtracting Fractions 2
Subtraction of Whole Numbers
Meaning of Subtraction
Meaning of Subtraction: Tutorial
Meaning of Subtraction: Drill 1
Meaning of Subtraction: Drill 2
Meaning of Subtraction: Drill 3
Meaning of Subtractions: Mastery Tests
Subtraction Facts
Subtraction Skills 1
Subtraction Skills 2
Subtraction Skills 3
Subtraction Skills 4
Subtraction of Fractions
Adding and Subtracting Fractions 1
Adding & Subtracting Fractions 1:
Tutorial
Adding & Subtracting Fractions 1:
Drill
Adding & Subtracting Fractions 1:
Mastery Tests
Adding and Subtracting Fractions 2
Multiplication of Whole Numbers
Meaning of Multiplication
Meaning of Multiplication: Tutorial
Meaning of Multiplication: Drill
Meaning of Multiplication: Mastery
Tests
Multiplication Facts 1
Multiplication Facts 2
Multiplication Properties 1
Multiplication Properties 2
Multiplication Skills 1
Multiplication Skills 2
Multiplication Skills 3
Multiplication Skills 4
Division of Whole Numbers
Meaning of Division
Meaning of Division: Tutorial
Meaning of Division: Drill
Meaning of Division: Mastery Tests
Division Facts
Division Skills 1
Division Skills 2
Division Skills 3
Division Skills 4
Division Skills 5
Division Skills 6
Division Skills 7
Division Skills 8
Mathematics Computation 2
Addition of Whole Numbers
Addition Facts 2
Addition Properties
Addition Skills 1
Addition Skills 2
Addition Skills 3
Addition Skills 4
Addition of Decimals
Decimal Fractions 1
Adding and Subtracting Decimals
Addition of Fractions
Meaning of Fractions
Equivalent Fractions
Multiples and Common Denominators
Comparing Fractions
Adding Mixed Numbers
Subtracting Mixed Numbers 1
Subtracting Mixed Numbers 2
Subtraction of Whole Numbers
Meaning of Subtraction
Subtraction Facts
Subtraction Skills 1
Subtraction Skills 2
Subtraction Skills 3
Subtraction Skills 4
Subtraction of Decimals
Adding and Subtracting Decimals
Subtraction of Fractions
Adding and Subtracting Fractions 1
Adding and Subtracting Fractions 2
Subtracting Mixed Numbers 1
Subtracting Mixed Numbers 2
Multiplication of Whole Numbers
Meaning of Multiplication
Multiplication Facts 1
Multiplication Facts 2
Multiplication Properties 1
Multiplication Properties 2
Multiplication Skills 1
Multiplication Skills 2
Multiplication Skills 3
Multiplication Skills 4
Multiplication Skills 5
Multiplication Skills 6
Multiplication of Decimals
Multiplying Decimals
Multiplication of Fractions
Multiplying Fractions
Multiplying and Dividing Mixed Numbers 1
Multiplying and Dividing Mixed Numbers 2
Division of Whole Numbers
Division Facts
Division Skills 1
Division Skills 2
Division Skills 3
Division Skills 4
Division Skills 5
Division Skills 6
Division Skills 7
Division Skills 8
Division of Decimals
Division of Fractions
Dividing Fractions 1
Dividing Fractions 2
Multiplying and Dividing Mixed Numbers 1
Multiplying and Dividing Mixed Numbers 2
Mathematics Computation 3
Addition of Decimals
Addition of Decimals
Decimal Fractions 1
Decimal Fractions 2
Adding and Subtracting Decimals
Addition of Fractions
Equivalent Fractions
Multiples and Common Denominators
Comparing Fractions
Adding Mixed Numbers
Subtracting Mixed Numbers 1
Subtracting Mixed Numbers 2
Subtraction of Decimals
Adding and Subtracting Decimals
Subtraction of Fractions
Adding and Subtracting Fractions 1
Adding and Subtracting Fractions 2
Subtracting Mixed Numbers 1
Subtracting Mixed Numbers 2
Multiplication of Whole Numbers
Multiplication Skills 3
Multiplication Skills 5
Multiplication Skills 6
Multiplication Skills 7
Multiplication of Decimals
Multiplying Decimals
Multiplication of Fractions
Multiplying Fractions
Multiplying and Dividing Mixed Numbers 1
Multiplying and Dividing Mixed Numbers 2
Division of Whole Numbers
Division Skills 4
Division Skills 5
Division Skills 6
Division Skills 7
Division Skills 8
Division of Decimals
Dividing Decimals
Division of Fractions
Dividing Fractions 1
Dividing Fractions 2
Multiplying and Dividing Mixed Numbers 1
Multiplying and Dividing Mixed Numbers 2
Integers and Percents
Percent Concepts 1
Percent Concepts 2
Adding and Subtracting Integers
Multiplying and Dividing Integers
Percents, Part 1
Percents, Part 2
Exponents and Algebraic Expressions
Exponents – Pre-Algebra
Variables
Monomials
Binomials
Mathematics Computation 4
Addition of Decimals
Decimal Fractions 1
Decimal Fractions 2
Adding & Subtracting
Addition of Fractions
Equivalent Fractions
Multiples & Common Denominators
Comparing Fractions
Adding Mixed Numbers
Subtracting Mixed Numbers 1
Subtracting Mixed Numbers 2
Subtraction of Decimals
Adding & Subtracting Decimals
Subtraction of Fractions
Adding & Subtracting Fractions 1
Adding & Subtracting Fractions 2
Subtracting Mixed Numbers 1
Subtracting Mixed Numbers 2
Multiplication of Whole Numbers
Multiplication Skills 6
Multiplication Skills 7
Multiplication of Decimals
Multiplying Decimals
Multiplication of Fractions
Multiplying Fractions
Multiplying & Dividing Mixed Numbers 1
Multiplying & Dividing Mixed Numbers 2
Division of Whole Numbers
Division Skills 8
Division of Decimals
Dividing Decimals
Division of Fractions
Dividing Fractions 1
Dividing Fractions 2
Multiplying & Dividing Mixed Numbers 1
Multiplying & Dividing Mixed Numbers 2
Integers and Percents
Percent Concepts 2
Exponents and Algebraic Expressions, Part 1
Integer Sum
Integer Difference
Integer Product & Quotient
Fractional Numbers: Addition &
Subtraction
Fractional Numbers: Addition &
Subtraction
Basic Set Concepts
Set Union & Intersection
Exponents-Beginning Algebra
Quotient & power
Square Roots-Beginning Algebra
Roots & Radicals
Review: Sets & Numbers
Monomial Sum & Difference
Monomial Product & Quotient
Binomial Sum & Difference
Polynomial Sum 7 Difference
Polynomial Product
Polynomial Quotient
Common Factors
Factoring II
Factoring Special Cases
Factoring Trinomials 1
Factoring Trinomials II
Review: Polynomials/Factoring
Exponents and Algebraic Expressions, Part 2
Simple Equations
Solving Equations
Absolute Value
Graphing
Word Problems I
Inequalities I
Inequalities II
Simple Quadratics
Quadratic Equations
Quadratic Formula
Word Problems II
Review: Math Sentences
Evaluating
Equivalent Forms
Rational Sum & Difference
Rational Product & Quotient: Drill 2
Unlike Denominators : Drill 2
Review: Rational Expression
Points in a Plane
Linear Equations & Inequalities
Slope & Y-Intercept
Slope –Intercept Form
Parallel & Perpendicular Lines-
Intermediate Algebra
Review: Graphs
Exponents and Algebraic Expressions, Part 3
Linear Systems
Systems-Substitute
Systems-Addition
Word Problems
Review: Linear Systems
Probability I
Probability II
Review: Probability-Intermediate Algebra
Linear Equations: 1 Variable
Linear Inequalities: 1 Variable
Linear Equations: 2 Variables
Systems of Equations-Pre-Algebra
Using Math Sentences, Part 2
Mathematics Concepts and Applications
Mathematics Concepts & Applications 1
Numeration
Whole Numbers 0-9
Whole Numbers 10-99
Whole Numbers 100-999
Hundreds & Thousands
Millions/Billions & Trillions
Number Sentences
Addition Facts 1
Addition Facts 2
Meaning of subtraction
Subtraction Facts
Meaning of Multiplication
Multiplication Facts 1
Multiplication Facts 2
Meaning of Division
Division Facts
Meaning of Fractions
Number Theory
Meaning of Addition
Meaning of Multiplication
Problem Solving
Problem Solving 1
Problem Solving 3
Measurement
Linear Measurement
Geometry
Plane Figures 1
Plane Figures 2
Figure comparison
Common 3-Deimensional Figures
Mathematics Concepts & Applications 2
Numeration
Whole Numbers 10-99
Whole Numbers 100-999
Hundreds & Thousands
Millions/Billions & Trillions
Meaning of Multiplication
Number Sentences
Addition Facts 2
Addition Properties
Meaning of Subtraction
Subtraction Facts
Meaning of Multiplication
Multiplication Facts 1
Multiplication Facts 2
Multiplication Properties 1
Multiplication Properties 2
Division Facts
Equivalent Fractions
Multiples & Common Denominators
Comparing Fractions
Decimal Fractions 1
Decimal Fractions 2
Problem Solving
Problem Solving 1
Problem Solving 2
Problem Solving 3
Problem Solving 4
Measurement
Linear Measurement
Area Measurement
Volume & Capacity Measurement
Geometry
Plane Figures 1
Plane Figures 2
Figure Comparison
Common 3-Dimensional Figures
Mathematics Concepts & Applications 3
Numeration
Odd/Even/Prime/ Composite Numbers
Exponents-Pre-Algebra
Square Roots-Pre-Algebra
Common Fractions
Number Sentences
Addition Facts 2
Addition Properties
Equivalent Fractions
Multiples & common Denominators
Comparing Fractions
Improper Fractions & Mixed Numbers
Decimal Fractions 1
Decimal Fractions 2
Variables
Monomials
Binomials
Linear Equations: 1 Variable
Number theory
Odd/Even/Prime/Composite Numbers
Square Roots-Pre-Algebra
Problem Solving
Problem Solving 1
Problem Solving 2
Problem Solving 3
Problem Solving 4
Problem Solving 5
Problem Solving 6
Measurement
Linear Measurement
Area Measurement
Volume & Capacity Measurement
Measurement Review
Metric Measurement
Area, Part 1
Area, Part 2
Volume
Using Measurement
Geometry
Plane Figures 1
Plane Figures 2
Figure Comparison
Common 3-Dimensional Figures
Circles/Arcs/Circumferences
The Pythagorean Theorem-Geometry &
Measurement 1
Using Geometry
Mathematics Concepts & Applications 4
Numeration
Odd/Even/Prime/Composite Numbers
Exponents-Pre-Algebra
Square Roots-Pre-Algebra
Number Sentences
Linear Equations: 1Variable
Linear Inequalities: 1 Variable
Special Quadratic Equations
Using Math Sentences, Part 1
Coordinate Plane
Linear Equations: 2 Variables
Systems of Equations-Pre-Algebra
Using Math Sentences, Part 2
Number Theory
Odd/Even/Prime/Composite Numbers
Problem Solving
Problem Solving 1
Problem Solving 2
Problem Solving 3
Problem Solving 4
Problem Solving 5
Problem Solving 6
Measurement
Linear Measurement
Area Measurement
Volume & Capacity Measurement
Geometry
Introduction to Geometry
Triangles & Lines
Polygons
Transformations, Symmetry, & Area
Circles
Solids & coordinate Geometry
Plane Figures 1
Plane Figures 2
Figure Comparison
Common 3-Dimensional Figures
Special angles, Part 1
Special Angles, Part 2
Circles/Arcs/Circumferences
The Pythagorean Theorem-Geometry &
Measurement 1
Using Geometry
Computer Software
Development Mathematics
Basic College Mathematics and Applied Approach 5th ed.
VC 510 B292a 1995
*Whole Numbers
*Fractions
*Decimals
*Decimals/Word Problems
*Ration & Proportions
*Percents
*Statistics
*Application to Business & Consumer
*U.S. Customary Units of Measurement
*The Metric Systems of Measurement
* Rational Numbers
*Introduction to Algebra
*Geometry
Decimals
VC 513.55 D356
*Introduction to Decimals Number System
*Decimals Represented as Points on a Number Line
*Addition and Subtraction of Decimal Numbers
*Multiplication of Decimal Numbers
*Division of Decimal Numbers
*Categories of Decimal Numbers
*Convert Fraction to Decimal Form
*Convert Decimal to Fraction Form
*Ratio & Proportion
*Using Calculators
*Ratios
*Proportions-Means & Extremes
Donald in Mathmagic Land (1959)
VC 510 D714
Introductory Algebra 2nd ed 2003
VC 512.9 IN8IA 2003
*Tips for Success in Mathematics
*Symbols and Sets of Numbers
*Introduction to Variable Expressions and Equations
*Adding Real Numbers
*Subtracting Real Numbers
*Multiplying Real Numbers
*Dividing Real Numbers
*Properties of Real Numbers
*Reading Graphs
*Simplifying Expressions
*The Addition Property of Equality
*The Multiplication Property of Equality
*Further Solving Linear Equations
*An Introduction to Problem Solving
*Formula and Problem solving
*Percent, Ratio, and Proportion
*Solving Linear Inequalities
*Exponents
*Negative Exponents and Scientific Notation
*Introduction to Polynomials
*Adding and Subtracting Polynomials
* Multiplying Polynomials
* Special Products
*Dividing Polynomials
*The Greatest Common Factor
*Factoring Trinomials of the Form X2+BX+C
*Factoring Trinomials of the Form AX2+BX+C
*Factoring Trinomials of the Form AX2+BX+C by Grouping
*Factoring Perfect Square Trinomials and the Difference of Two Squares
* Solving Quadratic Equations by Factoring
*Quadratic Equations and Problem Solving
* Simplifying Rational Expressions
*Multiplying and Dividing Rational Expressions
*Adding and Subtracting Rational Expressions with the Same Denominator and Least
Common Denominator
*Adding and Subtracting Rational Expressions with Different Denominators
*Solving Equations Containing Rational Expressions
* Rational Equations and Problem Solving
* Simplifying Complex Fractions
*The Rectangular Coordinate System
*Graphing Linear Equations
*Intercepts
*Slope
* Equations of Lines
*Introduction to Functions
*Graphing Linear Inequalities in Two Variables
* Solving Systems of Linear Equations by Graphing
*Solving Systems of Linear Equations by Substitution
*Solving Systems of Linear Equations by Addition
*Systems of Linear Equations and Problem Solving
*Introduction to Radicals
*Simplifying Radicals
*Adding and Subtracting Radicals
* Multiplying and Dividing Radicals
*Solving Equations Containing Radicals
*Radical Equations and Problem Solving
*Solving Quadratic Equations by the Square Root Property
*Solving Quadratic Equations by Completing the Square
*Solving Quadratic Equations by the Quadratic Formula
*Graphing Quadratic Equations in Two Variables
*Factors and the Least Common Multiple
*Decimals and Percents
Instruction Series (Algebra 1-6 Volumes)
VC 512 A133
*Combining Like Terms
*Simple Equations
*Solving Equations by Using Two or More Operations
*Combining Like Terms to Solve Equations
*Graphing Solution Sets/Number Lines
*Signed Numbers
*Evaluating Algebraic Expressions
*Adding Monomials
*Subtracting Monomials
*Multiplying Monomials
*Dividing Monomials
*Adding Polynomials & Subtracting Polynomials
*Dividing Polynomials by a Binomial (Polynomial)
*Equations Containing Parentheses
*Absolute Value Equations
*Solving Equations Containing More than One Variable
*Inequalities Containing One Variable
*Factoring Polynomials Whose Terms have a Common Factor
*Squaring a Monomial
*Multiplying the Sum & Difference of Two Numbers
*Factoring the Difference of Two Squares
*Finding the Product of Two Binomials
*Factoring Trinomials
*Factoring Completely
*Reducing Fractions
*Multiplying Fractions
* Dividing Fractions
*Adding Fractions Having the Same Denominator
*Subtracting Fraction having the Same Denominator
*Adding Fractions Having Different Denominators
*Subtracting Fractions Having Different Denominators
*Mixed Expressions
*Solving Equations Containing Fractions
*Solving Decimal Equations
* Solving Inequalities Containing Fractional & Decimal Coefficients
*Solving for X when Many Variables re Involved
*Graphing/Plotting Points
*Graphing Solution Sets/Graphing Equations
*Graphing Lines Parallel to the X or Y Axis
*Slope
*Slope & Y-Intercept of an Equation
*Finding Equation when Slope & a Point are Given
*Finding Equation when Two Points are Given
*The Equation of a Line Y=mx + b
*Absolute Value Graphing
*Inequality Graphing
*Solving Equations Simultaneously
*Solving Equations by Substitution
*Graphing Solution Sets of Systems of Inequalities
*Repeating Decimals
* Square Roots
*Radicals-Simplifying in Radical Form
*Radicals-Decimal Form
*Radical-Square Root of Monomials
*Simplifying a Radical Whose Radicand is a Fraction
*Adding/Subtracting Radicals
*Multiplying Radicals
*Dividing Radicals
*Rationalizing an Irrational Radical Denominator
*Solving Radical Equations
*Factoring & Solving Quadratic Equations
*Solving Incomplete Quadratic Equations
*Solving Quadratic Equations by Using the Quadratic Formula
Algebra for College Students
The following is the list of topics that will be covered
in Math 1000 Series Program – Math 1000, Math
1001/2 and Math 1003/4. Exercises in the textbook will not be graded, and no
points will be awarded for
completing them. However, you should do the exercises regularly as if they would
be collected and
graded, since this will prepare you to do well on the upcoming tests.
| Chapter 1 |
Basic Concepts |
| 1.1 |
The Real Number System :
Sets of Numbers, Inequality Symbols, Intervals, Absolute Value of a
Number
Exercises: 3, 7, 9, 11, 39, 55, 67, 73, 77, 81 |
| 1.2 |
Arithmetic and Properties of Real Number:
Adding Real Numbers, Subtracting Real Numbers, Multiplying Real Numbers ,
Dividing
Real Numbers, Order of Operations, Evaluating Algebraic Expressions ,
Properties of Real
Numbers
Omit: Measures of Central Tendency
Exercises: 3, 21, 27, 45, 49, 57, 59, 65, 75, 81 |
| 1.3 |
Exponents:
Exponents, Properties of Exponents, Zero Exponents, Negative Exponents ,
Order of
Operations, Evaluating Formulas (area only)
Exercises: 1, 33, 37, 39,77, 85, 95, 101, 117, 133, 135, 141 |
| 1.4 |
Scientific Notation :
Scientific Notation, Using Scientific Notation to Simplify Computations
Omit: Significant Digits, Problem Solving
Exercises: 11, 17, 25, 31, 37, 43, 47, 51, 53, 57 |
| 1.5 |
Solving Equations:
Equations, Properties of Equality, Solving Linear Equations, Combining
Like Terms,
Identities and Contradictions, Formulas
Exercises: 7, 31, 37, 51, 67, 71, 77, 91, 97, 103 |
| 1.5 |
Solving Equations:
Equations, Properties of Equality, Solving Linear Equations, Combining
Like Terms,
Identities and Contradictions, Formulas
Exercises: 7, 31, 37, 51, 67, 71, 77, 91, 97, 103 |
| 1.6 |
Using Equations to Solve Problems:
Recreation Problems, Business Problems
Omit: Geometry Problems, Lever Problems
Exercises: 1, 17, 19, 21, 23, 25, 27, 29, 31, 33 |
| 1.7 |
More Applications of Equations:
Investment Problems, Uniform Motion Problems
Omit: Mixture Problems
Exercises: 3, 9, 11, 13, 17, 19, 21 |
| Chapter 2 |
Graphs, Equations of Lines, and Functions |
| 2.1 |
Graphing Linear Equations:
The Rectangular Coordinate System , Graphing Linear Equations, Horizontal
and Vertical
Lines, The Midpoint Formula
Omit: Applications
Exercises: 5, 19, 23, 29, 35, 39, 43, 47, 57, 67 |
| 2.2 |
Slope of a Non-vertical Line:
Slope of a Line , Interpretation of Slope, Horizontal and Vertical Lines,
Slopes of Parallel
Lines, Slopes of Perpendicular Lines
Exercises: 6, 17, 23, 33, 37, 43, 45, 47, 49, 53 |
| 2.3 |
Writing Equations of Lines:
Point-Slope Form of the Equation of a Line, Slope-Intercept Form of the
Equation of a
Line, Using Slope as an Aid in Graphing, General Form of the Equation of
a Line
Omit: Straight Line Depreciation, Curve Fitting
Exercises: 3, 15, 17, 21, 27, 35, 41, 51, 59, 65, 71, 75 |
| 2.4 |
Introduction to Functions:
Functions, Functions Notation, Finding Domains and Ranges of Functions,
The Vertical
Line Test, Linear Functions
Exercises: 1, 23, 39, 45, 51, 55, 63, 65, 71, 75 |
| 2.5 |
Graphs of Other Functions:
Graphs of Nonlinear Functions, Translations of Graphs, Reflections of
Graphs, Solving
Equations with Graphing Calculators
Exercises: 17, 19, 22, 25, 27, 37, 39, 41, 43, 47 |
| Chapter 3 |
Systems of Equations |
| 3.1 |
Solution by Graphing:
The Graphing Method, Consistent Systems, Inconsistent systems, Dependent
Equations
Exercises: 1, 11, 13, 15, 19, 23, 24, 27, 31 |
| 3.2 |
Solution by Elimination:
The Substitution Method, The Addition Method, An Inconsistent System, A
system with
Infinitely Many Solutions
Omit: Repeating Decimals, Problem Solving, Break-Point Analysis,
Parallelograms
Exercises: 3, 11, 15, 17, 23, 31, 33, 35, 37 |
| 3.3 |
Omit |
| 3.4 |
Omit |
| 3.5 |
Omit |
| Chapter 4 |
Linear Inequalities |
| 4.1 |
Linear Inequalities:
Inequalities, Properties of inequalities, Linear Inequalities, Compound
inequalities
Involving “And”, Compound inequalities Involving “Or”
Omit: Problem Solving, Finding a Sample Size
Exercises: 1, 17, 19, 23, 27, 31, 35, 41, 47, 52 |
| 4.2 |
Equations and Inequalities with Absolute Values:
Absolute value, Absolute Value Functions, Equations of the form |x|=k,
Equations with
two absolute values, Inequalities of the form |x|<k,
Inequalities of the form |x|>k
Exercises: 3, 5, 17, 21, 27, 29, 35, 37, 47, 49, 55, 65, 77 |
| 4.3 |
Linear Inequalities in two Variables:
Graphing linear inequalities
Omit: Graphing Compound Inequalities, Problem Solving
Exercises: 3, 9, 11, 13, 15, 17, 19, 20, |
| 4.4 |
Omit |
| 4.5 |
Omit |
| Chapter 5 |
Polynomials and Polynomial Functions |
| 5.1 |
Polynomials and Polynomial Functions:
Polynomials, Degree of a Polynomial, Evaluating Polynomial Functions,
Graphing
polynomial functions
Exercises: 3, 21, 23, 33, 37, 39, 41, 43, 59, 63 |
| 5.2 |
Adding and Subtracting Polynomials:
Combining Like Terms, Adding Polynomials, Subtracting Polynomials,
Adding and
Subtracting Multiples of polynomials
Exercises: 1, 3, 17, 22, 25, 29, 35, 41, 45, 51, 55, 63 |
| 5.3 |
Multiplying Polynomials:
Multiplying Monomials , Multiplying a Polynomial by a Monomial,
Multiplying a
Polynomial by a Polynomial, The FOIL Method, Special Products
Omit: An Application of Multiplying Polynomials, Multiplying Expressions
That Are Not
Polynomials
Exercises: 3, 17, 31, 35, 39, 45, 59, 67, 69, 77 |
| 5.4 |
The Greatest Common Factor and Factoring by
Grouping:
Prime-Factored Form of a Natural Number, Factoring Out the Greatest
Common Factor,
Factoring by grouping, Formulas
Omit: Negative exponents, An Application of Factoring
Exercises: 5, 13, 17, 21, 23, 33, 39, 71, 79, 85, 89, 101, 103 |
| 5.5 |
The Difference of two Squares :
Perfect Squares, The Difference of Two Squares
Omit: The Sum and Difference of Two Cubes , Factoring by Grouping
Exercises: 7, 15, 17, 19, 25, 27, 31, 35, 37 |
| 5.6 |
Factoring Trinomials
Special Product Formulas, Factoring Trinomials with Lead Coefficients of
1, Factoring
Trinomials with Lead Coefficients Other than 1, Factoring by Grouping,
Using Grouping
to Factor Trinomials
Omit: Test for Factorability, Using Substitution to Factor Trinomials
Exercises: 5, 11, 13, 15, 19, 33, 39, 41, 77, 113, 115 |
| 5.7 |
Omit |
| 5.8 |
Solving Equations by Factoring:
Solving Quadratic Equations , Solving Higher-Degree Polynomial Equations
Omit: Problem Solving
Exercises: 7, 9, 15, 19, 27, 31, 43, 47 |
| Chapter 6 |
Rational Expressions |
| 6.1 |
Rational Functions and Simplifying Rational
Expressions:
Rational Expressions, Rational Functions, Finding the Domain and Range
of a Rational
Function, Simplifying Fractions , Simplifying Fractions by Factoring out
–1
Omit: Probability Application
Exercises: 1, 4, 37, 45, 49, 53, 59, 65, 73, 82, 89, 98 |
| 6.2 |
Omit |
| 6.3 |
Multiplying and Dividing Rational Expressions:
Multiplying Rational Expressions, Dividing Rational Expressions, Mixed
Operations
Exercises: 1, 11, 13, 15, 21, 24, 29, 34,41, 47, 55 |
| 6.4 |
Adding and Subtracting Rational Expressions:
Adding and subtracting Rational Expressions with Like and Unlike
Denominators, Finding
the LCD, Mixed Operations
Exercises: 3, 15, 23, 27, 41, 49, 66, 69, 75, 84, 93 |
| 6.5 |
Omit |
| 6.6 |
Equations Containing Rational Expressions:
Solving Rational Equations
Omit: Formulas, Problem Solving
Exercises: 1, 7, 11, 13, 17, 23, 31, 38 |
| 6.7 |
Omit |
| Chapter 7 |
Radical and Rational Exponents |
| 7.1 |
Radical Expressions:
Square Roots, Square Roots of Expressions with Variables, Cube Roots,
nth Roots,
Graphing Square and Cube Root functions.
Omit: Standard Deviation
Exercises: 1, 3, 5, 29, 37, 41, 45, 59, 63, 95, 103, 105 |
| 7.2 |
Applications of Radicals:
The Pythagorean Theorem, The Distance formula
Exercises: 3, 5, 11, 19, 23, 28 |
| 7.3 |
Rational Exponents:
Rational Exponents, Rational Expressions with Variables in Their Base,
Fractional
Exponents with Numerator Other Than 1, Negative Fractional Exponents ,
Simplifying
Radical Expressions
Exercises: 3, 21, 27, 34, 41, 49, 69, 73, 81, 87, 99, 109, 116 |
| 7.4 |
Simplifying and Combining Radical Expressions:
Properties of Radicals, Simplifying Radical Expressions, Adding and
Subtracting Radical
Expressions
Omit: Some Special Triangles
Exercises: 3, 13, 21, 31, 45, 57, 65, 73, 85, 93, 99 |
| 7.5 |
Multiplying and Dividing Radical Expressions:
Multiplying a Monomial by a Monomial, Multiplying a Polynomial by a
Monomial,
Multiplying a Polynomial by a Polynomial, Rationalizing Denominators
Omit: Problem Solving, Rationalizing numerators
Exercises: 3, 13, 21, 31, 45, 57, 65, 73, 85, 93 |
| 7.6 |
Radical Equations:
Equations Containing One Radical and Two Radicals
Omit: Equations with Three Radicals
Exercises: 3, 13, 15, 21, 25, 31, 41 |
| Chapter 8 |
Quadratic Functions and Inequalities |
| 8.1 |
Completing the square and Quadratic Formula:
Solving Quadratic Equations by Factoring, The Square Root Property,
Completing the
Square, Solving Equations by Completing the Square, The Quadratic
Formula
Omit: Problem Solving
Exercises: 1, 11, 15, 21, 25, 31, 37, 41, 47, 51, 55, 59 |
| 8.2 |
Graphs of Quadratic Functions:
Quadratic Functions, Graphs of the parabola , vertex and axis of symmetry
Omit: Problem Solving, The Variance
Exercises: 17, 21, 25, 31, 35, 41, 45 |
| 8.3 |
Complex Numbers:
Imaginary numbers, Powers of i, Simplifying Imaginary Numbers, Complex
Numbers,
Arithmetic of Complex Numbers, Rationalizing the Denominator, Absolute
Value of a
Complex Number
Exercises: 17, 21, 25, 31, 41, 59, 67, 81, 87, 95, 105 |
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