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Lecture Notes and Sample Exams

PreAlgebra

Lecture Notes and Worksheets
About Mathematics
Division by Zero
The Order of Operations Agreement
Factors of a Number
Division with Remainder
Prime Factorization
The GCF and LCM
Evaluating Algebraic Expressions
Solutions of Equations
Operations on integers Quiz
Order of Operations on integers Quiz
Integers
Fractions  Part 1  the definition
Reading,
Practice,
Answers,
Practice Quiz,
and Quiz
Basic Percent Problems

Quiz
Solving TwoStep Linear Equations
Fractions, Decimals, Percents  Conversions
Conversions between units of measurement
Standard labeling in triangles
Angles of a Triangle
Area
Decimals and Fractions

Beginning Algebra

Lecture Notes and Worksheets
New!
The Set of All Natural Numbers
New!
Introduction to Set Theory
New!
The Set of All Integers
New!
Set Operations
Square Root of an Integer
Evaluating Algebraic Expressions
Solutions of Equations and Inequalities
Graphs of Equations
Examples  Answers
Combining Like Terms
Simplifying Algebraic Expressions over Z
Multiplying Algebraic Expressions over Z
Equations with the Unknown on Both Sides
Solving Linear Equations  Part 2
Angles In a Triangle:
Theory 
Problem Solving

Quiz
Solving Linear Inequalities
Linear Inequalities (practice)
Graphing Straight Lines
Practice Examples 
Answers
Basic Percent Problems
Word Problems 1 (Linear)
Solving Linear Systems by Substitution
The Zero Product Rule
Factoring out the GCF
Factoring 1 (GCF, difference of squares theorem)
Factoring by Grouping (practice)
Factoring by the ACmethod 
Practice
Factoring the difference of cubes (Practice)
Factoring the sum of cubes (Practice)
Wordproblems 2 (Quadratic)
Rules of exponents (formulas only)
Exponents 1
Integer Exponents

Sample Exams
Sample Exam 1  Answers
Sample Exam 2  Answers
Sample Exam 2  Version B  Answers
Exam 3 Review  Answers
 Solutions
Exam 3 Review  Version B  Answers
Exam 4 Review  Answers
 Solutions
Final Review 1
Final Review 2 
Answers
Final Review 3 
Answers 
Solutions

Intermediate Algebra

Lecture Notes and Worksheets
Introduction to Sets
More on Sets
Introduction to Combinatorics
Introduction to Number Theory
The nth Root of a Number
Simplifying Algebraic Expressions
Factoring by completing the square
Part 1
Part 2
Part 3
Part 4
Review of Factoring 1 (GCF, difference of squares, completing the square)
Review of Factoring 2 (grouping, ACmethod, sum and difference of cubes)
Review of Quadratic Wordproblems (Quadratic)
Solving Linear Systems by Elimination
Linear Word Problems
Mixture Problems
Motion Problems
The Pythagorean Theorem
Similar Triangles
Writing Equations of Straight Lines
Smallest Value of a Quadratic Expression
Graphing a Parabola  Part 1 
Practice
Graphing a Parabola  Part 2
Rational Expressions
Complex Fractions
Radical Expressions
Radical Equations
The Real Number System
The Quadratic Formula
The proof that square root of 2
is irrational
Rules of Exponents
Rational Exponents (practice)
Fun, Challenging Problems:
Algebraic Transformations

Sample Exams
Exam 1 Review
Exam 2 Review
Exam 3 Review 
Solutions
Exam 3 Review  Version B
Final Review 
Solutions
Final Review  Version B 
Solutions
Final Review  Version C

College Algebra and Trigonometry


Calculus and Analytic Geometry

Business Calculus
Limits at infinity  Part 1
Limits at infinity  Part 2
Twosided limits
Rules of differentiation 1 (proofs)
Differentiation 1 (practice)
Relative Extrema
Optimization 2
Differentiation 2
More Optimization
Implicit Differentiation
Riemann Sums (practice)
Definite Integrals (practice)
Applications of the Definite Integral (practice)
Integration by substitution
Improper integrals
Integration by parts

Click here for more practice.
This page was last updated on July 18, 2018. Questions, comments: please email to mhidegkuti@ccc.edu.
