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Lecture Notes and Sample Exams  Algebra
PreAlgebra
Lecture Notes and Worksheets
About Mathematics
The Words
And
and
Or
New!
The Basic Operations
The Order of Operations Agreement
Factors of a Number
Perimeter and Area of Rectangles
Perimeter and Area of Right Triangles
Perimeter and Area of General Triangles
Perimeter and Area of Parallelograms
New!
Circmference and Area of a Circle
Division with Remainder
Divisibility Tests
New!
Is this Number a Prime?
Prime Factorization
The GCF and LCM
Algebraic Expressions
Equations and Inequalities
One and TwoStep Equations (N)
Quiz
Introduction to Signed Numbers
The Set of All Integers
Division by Zero
Order of Operations on Integers
More Practice
Fractions
Part 1  the definition
Practice Quiz
and
Quiz
Part 2  Equivalent Fractions
Part 3  Improper Fractions and Mixed Numbers
Part 4  Adding and Subtracting Fractions
Part 5  Multiplying and Dividing Fractions
Introduction to Ratios
Basic Percent Problems

Quiz
Solving TwoStep Linear Equations
New!
Introduction to Decimals
Fractions, Decimals, Percents  Conversions
Conversions between units of measurement
Standard labeling in triangles
Angles in a Triangle
Area
New!
Volumes
Decimals and Fractions
Beginning Algebra
Lecture Notes and Worksheets
The Set of All Natural Numbers
Introduction to Set Theory
The Set of All Integers
Order of Operations on Integers
Angles in a Triangle
New!
Angles in a Polygon
Set Operations
Square Root of an Integer
Algebraic Expressions and Statements
Graphs of Equations
Examples

Answers
Combining Like Terms
Simplifying Algebraic Expressions over Z
One and TwoStep Equations
Multiplying Algebraic Expressions over Z
Linear Equations  Part 2 (Z)
Equations with the Unknown on Both Sides
More
Solving Linear Equations  Part 2
Solving Linear Equations  Part 3
Weighted Average
Angles In a Triangle:
Theory

Problem Solving

Quiz
Intervals
Solving Linear Inequalities
Linear Inequalities
(practice)
Graphing Straight Lines
Practice
Examples

Answers
Basic Percent Problems
Word Problems 1
(Linear)
Solving Linear Systems by Elimination
Solving Linear Systems by Substitution
Slope of a Line
More on Linear Systems
The Zero Product Rule
Factoring out the GCF
Factoring via the difference of squares theorem
Factoring by Trial and Error
Factoring by Grouping
Factoring by the ACmethod

Practice
Rational Expressions
Factoring the Sum and Difference of Cubes
Factoring the difference of cubes
(Practice)
Factoring the sum of cubes
(Practice)
The Pythagorean Theorem
Quadratic Word Problems
(Algebra 1)
Rules of exponents
(formulas only)
Natural Exponents
Integer Exponents
Sample Exams
Updated!
Exam 1 Review
Exam 2 Review
Exam 3 Review
Exam 4 Review  Version A
Exam 4 Review  Version B
Intermediate Algebra
Lecture Notes and Worksheets
Introduction to Intermediate Algebra
Introduction to Sets
Set Operations
More on Sets
Introduction to Combinatorics
Introduction to Number Theory
The nth Root of a Number
Simplifying Algebraic Expressions over Z
(no FOIL)
One and TwoStep Equations
Review of Linear Equations over (Z)
Summation 1
Part 1
,
Part 2
,
Part 3
Simplifying Algebraic Expressions
(with FOIL)
More Linear Equations
Factoring by completing the square
Part 1
Part 2
Part 3
Part 4
Review of Factoring
(GCF, difference of squares theorem)
Review of Factoring 1
(GCF, difference of squares, completing the square)
Review of Factoring 2
(grouping, ACmethod, sum and difference of cubes)
Quadratic Word Problems
(Algebra 2)
Solving Linear Systems by Elimination
Linear Word Problems
Mixture Problems
Motion Problems
The Triangle Inequality
The Pythagorean Theorem
Similar Triangles
Writing Equations of Straight Lines
Compound Inequalities
Smallest Value of a Quadratic Expression
Graphing a Parabola  Part 1

Practice (Z)
or
Practice (R)
Graphing a Parabola  Part 2
Rational Expressions
Complex Fractions
Radical Expressions  Part 1
Radical Expressions  Part 2
Radical Expressions
(1 and 2)
Radical Equations
Absolute Value Equations
Rational Expressions  Part 1
Rational Expressions  Part 2
Rational Equations
Systems of Equations in Three Variables
The Real Number System (N to Z to Q to R)
The Real Number System (axioms)
The Quadratic Formula
The proof that square root of 2 is irrational
Rules of Exponents
Rational Exponents
Work Word Problems
Digit Word Problems
Complex Numbers
Fun, Challenging Problems:
Algebraic Transformations
Sample Exams
Updated!
Exam 1 Review
Exam 2 Review
Exam 3 Review
Final Review  Version A
Final Review  Version B
Click here for more practice
.
This page was last updated on January 19, 2023. Questions, comments: please email to mhidegkuti@ccc.edu.