Extra Examples, Algebra 1, Virginia Edition, Mathematics, Glencoe

Algebra 1

Mathematics, Algebra 1

Extra Examples—SOL

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By Lesson
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Chapter 1 - The Language of Algebra

Lesson 1 - Variables and Expressions - A.2, A.10
Lesson 2 - Order of Operations - A.2
Lesson 3 - Open Sentences - A.2
Lesson 4 - Identity and Equality Properties - A.2
Lesson 5 - The Distributive Property - A.2
Lesson 6 - Commutative and Associative Properties - A.2
Lesson 7 - Logical Reasoning
Lesson 8 - Graphs and Functions - A.5, A.15
Lesson 9 - Statistics: Analyzing Data by Using Tables and Graphs -

Chapter 2 - Real Numbers

Lesson 1 - Rational Numbers on the Number Line
Lesson 2 - Adding and Subtracting Rational Numbers - A.2
Lesson 3 - Multiplying Rational Numbers - A.2
Lesson 4 - Dividing Rational Numbers - A.2
Lesson 5 - Statistics: Displaying and Analyzing Data - A.17
Lesson 6 - Probability: Simple Probability and Odds
Lesson 7 - Square Roots and Real Numbers - A.2, A.13

Chapter 3 - Solving Linear Equations

Lesson 1 - Writing Equations
Lesson 2 - Solving Equations by Using Addition and Subtraction -

A.1, A.3
Lesson 3 - Solving Equations by Using Multiplication and Division -

A.1, A.3
Lesson 4 - Solving Multi-Step Equations - A.1, A.3
Lesson 5 - Solving Equations with the Variable on Each Side -

A.1, A.3
Lesson 6 - Ratios and Proportion - A.1, A.3
Lesson 7 - Percent of Change - A.1, A.3
Lesson 8 - Solving Equations and Formulas - A.1, A.3
Lesson 9 - Weighted Averages - A.1, A.3

Chapter 4 - Graphing Relations and Functions

Lesson 1 - The Coordinate Plane
Lesson 2 - Transformations on the Coordinate Plane
Lesson 3 - Relations - A.5
Lesson 4 - Equations as Relations - A.5, A.8, A.15
Lesson 5 - Graphing Linear Equations - A.3, A.5,

A.6, A.8, A.15
Lesson 6 - Functions - A.1, A.3, A.5, A.6, A.8, A.15
Lesson 7 - Arithmetic Sequences - A.2, A.5
Lesson 8 - Writing Equations from Patterns - A.2, A.5

Chapter 5 - Analyzing Linear Equations

Lesson 1 - Slope - A.7
Lesson 2 - Slope and Direct Variation - A.3, A.5, A.6, A.7, A.18
Lesson 3 - Slope-Intercept Form - A.1, A.3, A.5, A.6, A.7, A.8
Lesson 4 - Writing Equations in Slope-Intercept Form- A.3, A.6,

A.7, A.8
Lesson 5 - Writing Equations in Point-Slope Form- A.3, A.6,

A.7, A.8
Lesson 6 - Geometry: Parallel and Perpendicular Lines- A.3, A.6,

A.7, A.8
Lesson 7 - Statistics: Scatter Plots and Lines of Fit- A.2, A.5, A.6,

A.8, A.16, A.17

Chapter 6 - Solving Linear Inequalities

Lesson 1 - Solving Inequalities by Addition and Subtraction -

A.1, A.3
Lesson 2 - Solving Inequalities by Multiplication and Division -

A.1, A.3
Lesson 3 - Solving Multi-Step Inequalities - A.1, A.3
Lesson 4 - Solving Compound Inequalities - A.1, A.3
Lesson 5 - Solving Open Sentences Involving Absolute Value -

A.1, A.3
Lesson 6 - Graphing Inequalities in Two Variables - A.1, A.3,

A.6

Chapter 7 - Solving Systems of Linear Equations and Inequalities

Lesson 1 - Graphing Systems of Equations - A.3, A.6, A.9
Lesson 2 - Substitution - A.3, A.6, A.9
Lesson 3 - Elimination Using Addition and Subtraction - A.3,

A.6, A.9
Lesson 4 - Elimination Using Multiplication - A.3, A.6, A.9
Lesson 5 - Graphing Systems of Inequalities - A.3, A.6

Chapter 8 - Polynomials

Lesson 1 - Multiplying Monomials - A.3, A.10
Lesson 2 - Dividing Monomials - A.3, A.10
Lesson 3 - Scientific Notation - A.10
Lesson 4 - Polynomials - A.3, A.11
Lesson 5 - Adding and Subtracting Polynomials - A.11
Lesson 6 - Multiplying a Polynomial by a Monomial - A.11
Lesson 7 - Multiplying Polynomials - A.11
Lesson 8 - Special Products - A.11

Chapter 9 - Factoring

Lesson 1 - Factors and Greatest Common Factors - A.12
Lesson 2 - Factoring Using the Distributive Property - A.3, A.12
Lesson 3 - Factoring Trinomials: x² + bx + c - A.3, A.12
Lesson 4 - Factoring Trinomials: ax² + bx + c - A.3, A.12
Lesson 5 - Factoring Differences of Squares - A.3, A.12
Lesson 6 - Perfect Squares and Factoring - A.3, A.12

Chapter 10 - Quadratic and Exponential Functions

Lesson 1 - Graphing Quadratic Functions - A.14
Lesson 2 - Solving Quadratic Equations by Graphing - A.3, A.12,

A.14
Lesson 3 - Solving Quadratic Equations by Completing the Square -

A.3, A.12, A.14
Lesson 4 - Solving Quadratic Equations by Using the Quadratic

Formula - A.3, A.12, A.14
Lesson 5 - Exponential Function
Lesson 6 - Growth and Decay - A.3
Lesson 7 - Geometric Sequences - A.2, A.3, A.5, A.10

Chapter 11 - Radical Expressions and Triangles

Lesson 1 - Simplifying Radical Expressions - A.2, A.3, A.13
Lesson 2 - Operations with Radical Expressions - A.2, A.3,

A.13
Lesson 3 - Radical Equations - A.1, A.13
Lesson 4 - The Pythagorean Theorem - A.1
Lesson 5 - The Distance Formula - A.1
Lesson 6 - Similar Triangles - A.3
Lesson 7 - Trigonometric Ratios - A.3

Chapter 12 - Rational Expressions and Equations

Lesson 1 - Inverse Variation
Lesson 2 - Rational Expressions - A.15
Lesson 3 - Multiplying Rational Expressions - A.3
Lesson 4 - Dividing Rational Expressions - A.3
Lesson 5 - Dividing Polynomials - A.3
Lesson 6 - Rational Expressions with Like Denominators
Lesson 7 - Rational Expressions with Unlike Denominators
Lesson 8 - Mixed Expressions and Complex Fractions - A.3
Lesson 9 - Solving Rational Equations and Inequalities - A.1

Chapter 13 - Statistics

Lesson 1 - Sampling and Bias
Lesson 2 - Introduction to Matrices - A.4
Lesson 3 - Histograms - A.5, A.17
Lesson 4 - Measures of Variation - A.5, A.17
Lesson 5 - Box-and-Whisker Plots - A.5, A.17

Chapter 14 - Probability

Lesson 1 - Counting Outcomes
Lesson 2 - Permutations and Combinations
Lesson 3 - Probabilities of Compound Events
Lesson 4 - Probability Distributions
Lesson 5 - Probability Simulations

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