# ALGEBRA REVIEW AND STUDY GUIDE

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The Algebra Review and Study Guide provides the essential material to excel in Algebra. The guide contains all the fundamental equations, formulas and procedures needed for algebra I high school and college courses. .

Complete with over 100 illustrations and examples
Ove 50 equations and formulas
Over 100 algebra definitions and facts

Algebra I Review and Study Guide was designed for high school and college algebra students as well as teachers and tutors who teach Algebra I, and those that need to review basic algebra for high school exit exams, college entrance exams, SAT tests, state teacher certification tests such as the CBEST and CSET as well as those studying for the GRE, ACT, GMAT and AVSBE.

Chapter 1: Algebra Fundamentals

Chapter 2: Exponents, Roots and Radicals

CHAPTER 3: Algebraic Expressions and Procedures

Chapter 4: Polynomials

Chapter 5: The Cartesian Coordinate System

1. Cartesian Coordinate System Defined
2. Cartesian Coordinate System Graph

Chapter 6: Functions

Chapter 7: The Line - Polynomials of the First Degree

Chapter 8: Absolute Value Function

Chapter 9: Linear System of Equations

1. Linear Systems Formula and Fact Review Sheet
2. Linear Systems and Solutions Defined
3. Solving Graphically
4. Solving Through Elimination
5. Solving Through Substitution
6. Solving with Kramer's Rule Solution

Chapter 10: Linear Inequatlities of One and Two Variables

1. Linear Inequalities Formula and Fact Review Sheet
2. Linear Inequalities of One Variable
3. Linear Inequalities of Two Variables: Vertical Lines
4. Linear Inequalites of Two Variables: Shading Methods

Chapter 11: Linear System of Inequalities

1. Linear System of Inequalities and Solutions Defined
3. Test Point Method

Chapter 12: Parabolas - Polynomials of the Second Degree

1. Parabola Review and Study Guide
2. Equation Forms
3. Convavity: Sign of Leading Coefficient Test
4. Compression and Expansion
5. Standard Equation Form: Parameters and Graphing
6. Vertex Equation Form: Parameters and Graphing
7. X-Intercept Equation Form: Parameters and Graphing

Chapter 13: Second Degree Factoring Methods

1. Second Degree Factoring Review and Study Guide
2. Factor-Sum Table Methods (a =1)
3. Factor-Sum Table Method (a not =1)
5. Completing the Square Factoring
6. Second Degree Polynomial Identities

Chapter 14: Cubics - Polynomials of the Third Degree

1. Cubic Review and Study Guide
2. 3rd Degree Polynomial Functions: Definition and Parameters
3. Polynomials of Higher Degrees

Chapter 15: Third Degree Factoring Methods

1. Third Degree Review and Study Guide
2. Greatest Common Factor Method
3. Grouping Method
4. Third Degree Polynomial Identities

Chapter 16: Polynomial Algebra

1. Polynomial Review and Study Guide (Facts and Formulas)
2. Rational Expressions
4. Polynomial Multiplication
5. Polynomial Division

Chapter 17: Inverse Variation Functions

Chapter 18: Word Problems

1. Formula and Fact Review Sheet
2. Algebraic Translation
3. Types
5. Business: Rate of Work Equations
6. Business: Sales / Price Equations
7. Chemistry: Mixture Equations
8. Physics: Projectile Height
9. Physics: Vehicle, Wind and Current Speed

Chapter 19: Probability

1. Formula and Fact Summary Sheet
2. Sets and Venn Diagrams
3. Sample Space
5. Factorials, Permutations, Combinations

Chapter 20: Statistics

1. Median
2. Mode
3. Measures of Dispersions: Range and Standard Deviation
4. Normal Distribution
5. Standard Deviation
6. Mean

# Chapter 1: Algebra Fundamentals # Chapter 2: Algebraic Fraction Operations

Fraction Operations
Fraction Proportions, Ratios and Percentages

# Algebra I Review and Study Guide

CHAPTER 3: Algebraic Expressions and Procedures

# Chapter 9: Linear Systems of Equations

1. Linear Systems Formula and Fact Review Sheet
2. Linear Systems and Solutions Defined
3. Solving Graphically
4. Solving Through Elimination
5. Solving Through Substitution
6. Solving with Kramer's Rule Solution # Chapter 10: Linear Inequatlities of One and Two Variables

1. Linear Inequalities Formula and Fact Review Sheet
2. Linear Inequalities of One Variable
3. Linear Inequalities of Two Variables: Vertical Lines
4. Linear Inequalites of Two Variables: Shading Methods

# Chapter 11: Linear System of Inequalities

1. Linear System of Inequalities and Solutions Defined
3. Test Point Method

# Chapter 12: Parabolas - Polynomials of the Second Degree

1. Parabola Review and Study Guide
2. Equation Forms
3. Convavity: Sign of Leading Coefficient Test
4. Compression and Expansion
5. Standard Equation Form: Parameters and Graphing
6. Vertex Equation Form: Parameters and Graphing
7. X-Intercept Equation Form: Parameters and Graphing

# Chapter 13: Second Degree Factoring Methods

1. Second Degree Factoring Review and Study Guide
2. Factor-Sum Table Methods (a =1)
3. Factor-Sum Table Method (a not =1)
5. Completing the Square Factoring
6. Second Degree Polynomial Identities

# Chapter 14: Cubics - Polynomials of the Third Degree

1. Cubic Review and Study Guide
2. 3rd Degree Polynomial Functions: Definition and Parameters
3. Polynomials of Higher Degrees

# Chapter 15: Third Degree Factoring Methods

1. Third Degree Review and Study Guide
2. Greatest Common Factor Method
3. Grouping Method
4. Third Degree Polynomial Identities

# Chapter 16: Polynomial Algebra

1. Polynomial Review and Study Guide (Facts and Formulas)
2. Rational Expressions
4. Polynomial Multiplication
5. Polynomial Division

# Chapter 18: Word Problems

1. Formula and Fact Review Sheet
2. Algebraic Translation
3. Types
5. Business: Rate of Work Equations
6. Business: Sales / Price Equations
7. Chemistry: Mixture Equations
8. Physics: Projectile Height
9. Physics: Vehicle, Wind and Current Speed

# Chapter 19: Probability

1. Formula and Fact Summary Sheet
2. Sets and Venn Diagrams
3. Sample Space
5. Factorials, Permutations, Combinations

# Chapter 20: Statistics

1. Median
2. Mode
3. Measures of Dispersions: Range and Standard Deviation
4. Normal Distribution
5. Standard Deviation
6. Mean

# Appendexes

1. Algebraic Notation and Abbreviations
2. Common Squares, Cubes and Higher Powers
3. Perfect Square Trinomials
4. Geometric Relations in Algebra
5. Word Problem Algebraic Translation
6. Common Errors
8. Lines, Parabolas, Absolute Value and Indiret Variations