Algebra : Structure and Method - Book 1
Brown, Dolciani, Sorgenfrey, Cole
McDougal Littell/Houghton Mifflin
NutshellMath covers the following topics in this book:
Variables and Equations; Variables, Grouping Symbols, Equations
Applications and Problem Solving; Translating Words into Symbols, Translating Sentences into Equations, Translating Problems into Equations, A Problem Solving Plan
Numbers on a Line; Number Lines, Opposites and Absolute Value
Addition and Subtraction; Basic Assumptions, Addition on a Number Line, Rules for Addition, Subtracting Real Numbers
Multiplication; The Distributive Property, Rules for Multiplication, Consecutive Integers
Division; The Reciprocal of a Real Number, Dividing Real Numberss
Transforming Equations; Addition, Subtraction, Multiplication and Division, Using Several Transformations
Solving Problems; Using Equations to Solve Problems, Equations with Variables on Both Sides
Extending Your Problem Solving Skills; Using Charts, Cost, Income, and Value Problems, Proof in Algebra
Addition and Subtraction; Exponents, Adding and Subtracting Polynomials
Multiplication; Multiplying Monomials, Powers of Monomials, Multiplying Polynomials by Monomials, Multiplying Polynomials
Problem Solving; Transforming Formulas, Rate-Time-Distance Problems, Area Problems, Problems Without Solutionss
Quotients and Factoring; Factoring Integers, Dividing Monomials, Monomial Factors of Polynomials
Products and Factors; Multiplying Binomials Mentally, Difference of Two Squares, Squares of Binomials
Factoring Patterns for Trinomials
General Factoring and Its Application; Factoring by Grouping, Using Several Methods of Factoring, Solving Equations by Factoring, Using Factoring To Solve Problems
Algebraic Fractions; Simplifying Fractions, Multiplying Fractions, Dividing Fractions
Adding and Subtracting Fractions; Least Common Denominators, Adding and Subtracting Fractions
Polynomials Division; Mixed Expressions, Polynomial Long Division
Ratio and Proportion
Fractional Equations
Percent Problems
Mixture and Work Problems
Problems Involving Exponents; Negative Exponents, Scientific Notation
Using Two Variables; Equations in Two Variables, Points, Lines, and Their Graphs
Linear Equations; The Slope of a Line, Slope-Intercept Form, Finding Equations of a Line
Functions; Defined by Tables and Graphs, Defined by Equations, Linear and Quadratic Equations
Variation; Direct an Inverse Variation
Solving Systems of Linear Equations; The Graphing Models, The Substitution Method, Solving Problems with Two Variables, The Addition-or-Subtraction Method, Multiplication with the Addition-or-Subtraction Method
Applications; Wind and Water Current Problems, Puzzle Problems
Inequalities in One Variable; Order of Real Numbers, Solving Inequalities, Solving Problems involving Inequalities
Combining Open Sentences; Solving Combined Inequalities, Absolute Value in Open Sentences, Absolute Values of Products in Open Sentences
Inequalities in Two Variables; Graphing Linear Inequalities, Systems of Linear Inequalities
Rational Numbers; Properties of Rational Numbers, Decimals Forms of Rational Numbers, Rational Square Roots
Irrational Numbers; Irrational Square Roots, Square Roots of Variable Expressions, The Pythagorean Theorem
Radical Expressions; Multiplying, Dividing, Adding, Subtracting and Simplifying Radicals, Multiplication of Binomials Containing Radicals, Simple Radical Equations
Quadratic Equations; Quadratic Equations with Perfect Squares, Completing the Square, The Quadratic Formula, Graphs of Quadratic Equations, The Discriminant
Using Quadratic Equations; Methods of Solving, Solving Problems Involve Quadratic Equations
Brown, Dolciani, Sorgenfrey, Cole
McDougal Littell/Houghton Mifflin
NutshellMath covers the following topics in this book:
Variables and Equations; Variables, Grouping Symbols, Equations
Applications and Problem Solving; Translating Words into Symbols, Translating Sentences into Equations, Translating Problems into Equations, A Problem Solving Plan
Numbers on a Line; Number Lines, Opposites and Absolute Value
Addition and Subtraction; Basic Assumptions, Addition on a Number Line, Rules for Addition, Subtracting Real Numbers
Multiplication; The Distributive Property, Rules for Multiplication, Consecutive Integers
Division; The Reciprocal of a Real Number, Dividing Real Numberss
Transforming Equations; Addition, Subtraction, Multiplication and Division, Using Several Transformations
Solving Problems; Using Equations to Solve Problems, Equations with Variables on Both Sides
Extending Your Problem Solving Skills; Using Charts, Cost, Income, and Value Problems, Proof in Algebra
Addition and Subtraction; Exponents, Adding and Subtracting Polynomials
Multiplication; Multiplying Monomials, Powers of Monomials, Multiplying Polynomials by Monomials, Multiplying Polynomials
Problem Solving; Transforming Formulas, Rate-Time-Distance Problems, Area Problems, Problems Without Solutionss
Quotients and Factoring; Factoring Integers, Dividing Monomials, Monomial Factors of Polynomials
Products and Factors; Multiplying Binomials Mentally, Difference of Two Squares, Squares of Binomials
Factoring Patterns for Trinomials
General Factoring and Its Application; Factoring by Grouping, Using Several Methods of Factoring, Solving Equations by Factoring, Using Factoring To Solve Problems
Algebraic Fractions; Simplifying Fractions, Multiplying Fractions, Dividing Fractions
Adding and Subtracting Fractions; Least Common Denominators, Adding and Subtracting Fractions
Polynomials Division; Mixed Expressions, Polynomial Long Division
Ratio and Proportion
Fractional Equations
Percent Problems
Mixture and Work Problems
Problems Involving Exponents; Negative Exponents, Scientific Notation
Using Two Variables; Equations in Two Variables, Points, Lines, and Their Graphs
Linear Equations; The Slope of a Line, Slope-Intercept Form, Finding Equations of a Line
Functions; Defined by Tables and Graphs, Defined by Equations, Linear and Quadratic Equations
Variation; Direct an Inverse Variation
Solving Systems of Linear Equations; The Graphing Models, The Substitution Method, Solving Problems with Two Variables, The Addition-or-Subtraction Method, Multiplication with the Addition-or-Subtraction Method
Applications; Wind and Water Current Problems, Puzzle Problems
Inequalities in One Variable; Order of Real Numbers, Solving Inequalities, Solving Problems involving Inequalities
Combining Open Sentences; Solving Combined Inequalities, Absolute Value in Open Sentences, Absolute Values of Products in Open Sentences
Inequalities in Two Variables; Graphing Linear Inequalities, Systems of Linear Inequalities
Rational Numbers; Properties of Rational Numbers, Decimals Forms of Rational Numbers, Rational Square Roots
Irrational Numbers; Irrational Square Roots, Square Roots of Variable Expressions, The Pythagorean Theorem
Radical Expressions; Multiplying, Dividing, Adding, Subtracting and Simplifying Radicals, Multiplication of Binomials Containing Radicals, Simple Radical Equations
Quadratic Equations; Quadratic Equations with Perfect Squares, Completing the Square, The Quadratic Formula, Graphs of Quadratic Equations, The Discriminant
Using Quadratic Equations; Methods of Solving, Solving Problems Involve Quadratic Equations