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Subject
Arithmetic
Whole Numbers
Place Values
Adding Whole Numbers
Subtracting Whole Numbers
Rounding
Division of Whole Numbers
Exponential Notation and Order of Operatons
Multiplication and Division of Fractions
Divisibility
Multiples, Factors, and Factorization
Fractions
Multiplying Fractions
Simplifying Fractions
Multiplying and Simplifying Fractions
Reciprocals and Dividing Fractions
Addition and Subtraction of Fractions
Finding Least Common Multiples
Adding Fractions
Subtracting Fractions
Mixed Numbers and Improper Fractions
Adding and Subtracting Mixed Numbers
Multiplying and Dividing Mixed Numbers
Decimal Numbers
Decimal Notation
Comparing and Rounding Decimal Numbers
Addition and Subtraction of Decimal Numbers
Multiplication and Division of Decimals
Multiplication with Decimals
Areas and Perimeters
Converting English Units of Length
Converting Metric Units of Length
Finding Perimeters of Geometric Figures
Pre-Algebra
Whole Numbers
The Base Ten Number System
Addition of Whole Numbers
Subtraction of Whole Numbers
Multiplication of Whole Numbers
Division of Whole Numbers
Exponents
Order of Operations
Averages of Whole Numbers
Prime Numbers and Prime Factorization of Numbers
The Greatest Common Factor (GCF) and Least Common Multiple (LCM)
Fractions
Introduction to Fractions
Building or Reducing Fractions
Addition of Fractions
Subtraction of Fractions
Addition and Subtraction of Mixed Numbers
Multiplication of Fractions
Division of Fractions
Simplifying Complex Fractions
Decimal Numbers
Decimal Numbers
Rounding Decimal Numbers
Addition and Subtraction of Decimal Numbers
Division of Decimal Numbers
Fractions and Decimal Numbers
Ratios and Proportions
Ratios
Proportions
Percents
Percents
Fractions, Decimals and Percents
Percent Equations
Applications of Percents
Signed Numbers
The Number Line
Addition of Signed Numbers
Subtraction of Signed Numbers
Multiplication of Signed Numbers
Division of Signed Numbers
Roots of Numbers
Square Roots
Properties of Square Roots
Calculating Square Roots
Higher Roots
Units of Measurement
Length Measurement in the English and Metric Systems
Weight Measurement in the English and Metric Systems
Capacity Measurement in the English and Metric Systems
Algebra Topics
The Language of Algebra
Simplifying Algebraic Expressions
Solving Linear Equations Using the Addition or Subtraction Propoerties of Equality
Elementary Algebra
A Review of Arithmetic
Basic Concepts of Arithmetic and Algebra
Common Fractions
Decimals and Percents
Some Concepts from Geometry
Algebra and the Real Numbers
Sets and Real Numbers
Symbols, Variables, and Absolute Value
Addition and Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Properties of Real Numbers
Solving Applied Problems
Linear Equations and Inequalities in One Variable
Simplifying Algebraic Expressions
Solving Linear Equations Using the Addition and Subtraction Properities of Equality
Solving Linear Equations Using the Multiplication and Division Properties of Equality
Literal Equations and Formulas
The Addition and Subtraction Properties of Inequality
The Multiplication and Division Properties of Inequality
Solving Absolute Value Equations and Inequalities
More Applications
Linear Equations and Inequalities in Two Variables; Functions
The Rectangular (Cartesian) Coordinate System
Graphing Linear Equations in Two Variables
The Slope of a Line; Equations of a Line
Graphing Linear Inequalities in Two Variables
Relations; Functions; and Function Notation
Systems of Linear Equations and Inequalities
Solving Systems of Linear Equations by the Graphing Method
Solving Systems of Linear Equations by the Elimination Method
Solving Systems of Linear Equations by the Substitution Method
Solving Systems of Linear Inequalities
More Applications
Polynomials and the Laws of Exponents
Multiplication and Division with Exponents
More on Exponents; Scientific Notation
Adding and Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials
More Applications
Products and Factors
Factoring; The Greatest Common Factor
Factoring Trionimals with Leading Coefficient of 1
Factoring Trionimals with Leading Coefficient Not 1
Special Factors; Factoring by Grouping
A Summary of Factoring
Solving Factorable Quadratic Equations
More Applications
Rational Expressions and Fractions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions; The Least Common Denominator
Complex Fractions
Solving Rational Equations
Ratio and Proportion
Variation
Roots and Radicals
Roots and Radicals
Simplified Forms of Radicals
Addition and Subtraction of Radicals
Multiplication and Division of Radicals
Solving Equations Containing Radicals
Rational Exponents and Radicals
Quadratic Equations
Solving Equations by Factoring and the Square Root Method
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by the Quadratic Formula
Solving Quadratic Equations with Complex-Number Solutions
Graphing Quadratic Equations; The Parabola
More Applications
Intermediate Algebra
The Real-Number System
Operations with Real Numbers
Linear Equations and Inequalities
Solving Linear Equations in One Variable
From Words to Symbols: An Introduction to Applied Problems
Literal Equations and Formulas
Solving Linear Equations Involving Absolute Value
Solving Linear Inequalities
Solving Linear Inequalities Involving Absolute Value
Linear Equations and Functions in Two Variables
The Rectangular Coordinate System; Graphing Linear Equations in Two Variables
The Slope of a line; Distance and Midpoint Formulas
Point-Slope, Slope-Intercept, and the General Form of the Equation of a Line
Relations, Functions, and Function Notation
The Algebra of Functions, Inverse Functions
Systems of Linear Equations and Inequalities
Solving Systems of Linear Equations by Graphing, Elimination and Substitution
Solving Systems of Linear Equations in Three or More Variables
Determinants and Cramers Rule
Solving Systems of Linear Equations Using Matrices
Graphing Linear Inequalities in Two Variables
Laws of Exponents, Polynomials, and Polynomial Functions
Exponents and Scientific Notation
Adding and Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials
Synthetic Division
Factoring Polynomials; Factoring by Grouping
Monomial Factors; Factoring by Grouping
Factoring Type I Trinominals
Factoring Type II Trinomials; A Test for Factorability
Factoring Special Types of Polynomials; More Factoring by Grouping
General Methods of Factoring
Rational Expressions, Equations, and Functions
Reducing and Building Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Simplifying Complex Rational Expressions
Solving Rational Equations
Radicals, and Rational Exponents
Rational Exponents
Radicals and Rational Exponents
Arithmetic Operations Involving Radicals
Division by Radicals; Rationalizing
Solving Equations Involving Radicals
Complex Numbers
Quadratic Equations, Functions, and Inequalities
Solving Polynomial Equations by Factoring and the Square Root Property
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations Using the Quadratic Formula
Solving Equations Involving Quadratics
Solving Inequalities Involving Quadratics
Variation
More Applications
Conic Sections
Circles
Parabolas
Ellipses
Hyperbolas
Solving Nonlinear Systems of Equations
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Solving Exponential and Logarithmic Equations
Sequences, Series, and the Binomial Theorem
Sequences, Series, and Summation Notation
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Geometry
The Foundation of Geometry
Points, Lines, and Planes
Segments, Rays, and Distance
Angle Measures
Reasoning and Proofs
Reasoning and Proofs
Reasoning With Properties From Algebra
Segment Relationship Theorems
Angle Relationship Theorems
Perimeters, Areas, Surface Areas and Volumes
Perimeters and Areas
College Algebra
A Review of Basic Concepts
Sets
Properties of Real Numbers
Simplifying Expressions
Relations, Functions, and Graphs
Relations and Functions
Functions and Graphs
Graphs and Properties
Linear Relations and Functions
Graphing Quadratic Functions
Composite and Inverse Functions
Polynomial Functions
Division of Polynomials
The Remainder and Factor Theorems
The Fundamental Theorem of Algebra
Isolating Real Zeros
Partial Fraction Decomposition
Conic Sections
The Parabola
The Ellipse and Hyperbola
Matrices
Matrices
Matrix Arithmetic
Matrix Multiplication
Sequences and Series
Sequences
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Expansion
Probability
The Fundamental Principle of Counting
Permutations and Combinations
Trigonometry
Topics From Algebra
Real Numbers, Equations, and Inequalities
Rectangular Coordinate Systems and Graphs
The Trigonometric Functions
Angles
The Trigonometric Functions
Graphs of Trigonometric Functions
The Trigonometric Functions of Angles
The Unit Circle
Trigonometric Graphs
Additional Trigonometric Graphs
Solving Right Triangles
Analytic Trigonometry
Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Double Angle and Half Angle Formulas
Product-To-Sum and Sum-To-Product Formulas
Inverse Trigonometric Functions
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Trigonometric Form of Complex Numbers
De Moivres Theorem
Vectors
The Dot Product of Two Vectors
Logarithms
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Solving Exponential and Logarithmic Equations
Topics of Graphing in the Coordinate Plane
The Parabola
The Ellipse
The Hyperbola
Plane Curves and Parametric Equations
Polar Coordinates
Precalculus
Polynomial and Rational Functions
The Remainder and Factor Theorems
Complex Zeros and the Fundamental Theorem of Algebra
Precalculus Review For Calculus I
Fundamentals of Algebra
Basic Mathematics
Real Numbers and Inequalities
The Cartesian Plane
Lines
Matrices and Determinants
Matrices and Determinants
Calculus I
Test Yourself
Basic Mathematics
Real Numbers
Cartesian Plane
Lines
Functions and Limits
Functions and Graphs
More on Graphs of Functions
Trigonometric Functions
Setting Up Functions
Limit of a Function at a Point
Theorems on Limits
Limits that Involve Infinity
Continuity
The Derivative
Rate of Change of a Function, Tangent to a Graph, Instantaneous Velocity
The Derivative
Rules of Differentiation I - Power and Sum Rules
Rules of Differentiation II - Product and Quotient Rules
Derivatives of the Trigonometric Functions, Some Preliminary Limit Results
Rules of Differentiation III - Chain Rule
Higher-Order Derivatives
Implicit Differentiation
Rules of Differentiation IV - Extended Power Rules
Differentials and Linear Approximation
Newtons Method
Applications of the Derivative
Rectilinear Motion and the Derivative
Related Rates
Extrema of Functions
Rolles Theorem and the Mean Value Theorem
Graphing and the First Derivative
Graphing and the Second Derivative
Further Applications of Extrema
Applications of the Derivative in Economics
The Integral
Antiderivatives
Indefinite Integrals and the u-Substitution
Sigma Notation
Area Under a Graph
Definite Integral; Definition of a Definite Integral
Properties of the Definite Integral
Fundamental Theorem of Calculus
Approximate Integration
Applications of the Integral
Area and Area Bounded by Two Graphs
Solids of Revolution
Arc Length
Surfaces of Revolution
Average Value of a Function and the Mean Value Theorem
Rectilinear Motion and the Integral
Centers of Mass
Calculus II
Logarithmic and Exponential Functions
Inverse Functions
The Natural Logarithmic Function
The Exponential Function
Integrals Involving Logarithmic and Exponential Functions
Exponential and Logarithmic Functions to Other Bases
The Hyperbolic Functions
Applications and First-Order Differential Equations; Separable First-Order Equations; Linear First-Order Equations
Inverse Trigonometric and Hyperbolic Functions
Inverse Trigonometric Functions
Derivatives and Integrals That Involve Inverse Trigonometric Functions
Inverse Hyperbolic Functions
Techniques of Integration
Algebraic Substitutions
Integration By Parts
Integration of Powers of Trigonometric Functions
Trigonometric Substitutions
Partial Fractions; Denominators Containing Linear Factors; Denominators Containing Irreducible Quadratic Factors
Indeterminant Forms and Improper Integrals
L Hospitals Rule
Improper Integrals; Infinite Limits of Integration; Infinite Discontinuities
Sequences and Series
Sequences
Infinite Series
Ratio and Root Tests
Analytic Geometry In the Plane
Calculus III
Vectors and 3-Space
Vectors in 2-Space
3-Space; Rectangular Coordinate System in Three Dimensions; Vectors in 3-Space
Dot Product
Cross Product
Lines in 3-Space
Planes
Cylinders and Spheres
Vector-Valued Functions
Vector Functions
Differential Calculus of Functions of Several Variables
Partial Differentiation
Integral Calculus of Functions of Several Variables
Vector Integral Calculus
Recorded Lectures
Oakland Community College - Highland Lake Campus
Fall 2009 Semester
Industry
Skilled Trades
Nurse Practitioners
Automotive Manufacturing
Computer-aided manufacturing (CAM)
Civil engineering
Residential Building Construction
Alphabetical Index
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Intermediate Algebra
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Linear Equations and Inequalities
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Solving Linear Inequalities
Classroom
To Browse Problems:
Select the desired Subject → Chapter → Section → Group
Intermediate Algebra
Linear Equations and Inequalities
1. Solving Linear Equations in One Variable
2. From Words to Symbols: An Introduction to Applied Problems
3. Literal Equations and Formulas
4. Solving Linear Equations Involving Absolute Value
5. Solving Linear Inequalities
1. Writing Sets In Interval Notation
2. Solving Linear Inequalities
3. Solving Harder Linear Inequalities
4. Solving Linear Inequalities Involving Intersection and Union
6. Solving Linear Inequalities Involving Absolute Value