back to Lecture Notes    Home Lecture Notes and Sample Exams - Algebra PreAlgebra Lecture Notes and Worksheets About Mathematics The Words And and Or     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 Area of Trapezoids Circmference and Area of a Circle Volume Division with Remainder Divisibility Tests New! Is this Number a Prime?     Prime Factorization     The GCF and LCM Algebraic Expressions Equations and Inequalities One- and Two-Step Equations (N) Quiz Introduction to Signed Numbers Subtracting Signed Numbers Multiplying and Dividing 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 Two-Step 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 Two-Step 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 AC-method - 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 Two-Step 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, AC-method, 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 New! Tangents to Circles 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 October 14, 2023. Questions, comments: please e-mail to mhidegkuti@ccc.edu.