
ESL Mathematics for Standardized Tests
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Content
- Intro
- Title Page
- Copyright Page
- Your ESL Math Toolbox
- About the Author
- Author Acknowledgments
- Table of Contents
- Chapter 1 - Real Numbers
- 1.0 A Brief Look at Numbers
- 1.1 The Number Line
- 1.2 Working with Real Numbers
- 1.3 Properties of Real Numbers
- 1.4 Absolute Value
- 1.5 Addition with Negatives
- 1.6 Subtraction with Negatives
- 1.7 Multiplication with Negatives
- 1.8 Division with Negatives
- 1.9 Positive Exponents
- 1.10 Negative Exponents
- 1.11 More About Exponents
- 1.12 Square Roots and Cube Roots
- 1.13 Scientific Notation
- 1.14 The Metric System
- 1.15 The Order of Operations
- Problems
- Focus on English
- Chapter 2 - Linear Equations
- 2.0 Introduction to Algebra
- 2.1 Solving by Addition or Subtraction
- 2.2 Solving by Multiplication or Division
- 2.3 Solving Linear Equations Containing Parentheses
- 2.4 Solving Linear Equations Containing Percentages
- 2.5 Linear Equations with No Solutions
- 2.6 More About Word Problems
- 2.7 Literal Equations
- 2.8 Working with Rectangles and Squares
- 2.9 Linear Equations: Simple Interest and Money
- 2.10 Linear Equations and Variation
- Problems
- Focus English
- Chapter 3 - Linear Inequalities
- 3.0 The Concept of Inequality
- 3.1 Graphing Inequalities in One Variable
- 3.2 Solving by Addition
- 3.3 Solving by Subtraction
- 3.4 Solving by Multiplication or Division
- 3.5 Solving by Using Multiple Operations
- 3.6 Solving Linear Inequalities Containing Fractions
- 3.7 Solving Three-Part Linear Inequalities
- 3.8 Solving Absolute Value Inequalities
- 3.9 Linear Inequalities and Word Problems
- Problems
- Focus on English
- Chapter 4 - Polynomials and Factoring
- 4.0 Understanding Polynomials
- 4.1 Evaluating Polynomials
- 4.2 Adding and Subtracting Polynomials
- 4.3 Multiplying Polynomials
- 4.4 Special Products
- 4.5 Polynomials and Division
- 4.6 Polynomials and Word Problems
- 4.7 Introduction to Factoring
- 4.8 The Greatest Common Factor
- 4.9 Factoring by Grouping
- 4.10 Factoring Trinomials, Part 1
- 4.11 Factoring Trinomials, Part 2
- 4.12 Introduction to Rational Expressions
- 4.13 Adding and Subtracting Rational Expressions
- 4.14 Multiplying and Dividing Rational Expressions
- Problems
- Focus on English
- Chapter 5 - Graphing
- 5.0 Linear Equations in Two Variables
- 5.1 Graphing Linear Equations in Two Variables
- 5.2 The Distance Between Two Points
- 5.3 The Midpoint
- 5.4 The Slope of a Line
- Finding the Slope of a Line from Its Equation
- 5.5 The x-Intercept and the y-Intercept
- 5.6 The Slope-Intercept Equation
- 5.7 The Point-Slope Equation
- 5.8 Graphing Linear Inequalities in Two Variables
- Problems
- Focus on English
- Chapter 6 - Geometry
- 6.0 Lines and Angles
- 6.1 Triangles
- 6.2 Quadrilaterals
- 6.3 Circles
- 6.4 Surface Area and Volume
- Problems
- Focus on English
- Chapter 7 - Data Analysis, Logic, and Probability
- 7.0 Interpreting Graphs and Charts
- 7.1 Inductive Reasoning
- 7.2 Deductive Reasoning
- 7.3 Sets and Subsets
- 7.4 Set Operations
- 7.5 Probability
- 7.6 Mean, Median, Mode, and Range
- Problems
- Focus on English
- Chapter 8 - Systems of Linear Equations
- 8.0 Systems of Linear Equations in Two Variables
- 8.1 Solving by Graphing
- 8.2 Solving by Substitution
- 8.3 Solving by Elimination
- 8.4 Word Problems - Now that we have learned methods for solving systems of linear equations, we are ready to apply this knowledge to word problems.
- 8.5 Systems of Linear Equations in Three Variables - Some standardized mathematics tests require students to select (but not solve) a system of equations in three variables that could be used to solve a given word problem. Usually these are multiple-choice questions. So, we conclude this chapter with two examples for students to read through.
- Problems
- Focus English
- Chapter 9 - Radical Expressions
- 9.0 Understanding Radicals
- 9.1 Multiplication and the Product Rule
- 9.2 Addition and Subtraction of Square Roots
- 9.3 The Quotient Rule for Radicals
- 9.4 Rationalizing the Denominator
- 9.5 Rationalizing the Numerator
- 9.6 Equations with Radicals
- 9.7 Rational Exponents
- Problems
- Focus on English
- Chapter 10 - Quadratic Equations and Functions
- 10.0 Understanding Quadratic Equations
- 10.1 Solving by Factoring
- 10.2 Solving by the Square Root Property
- 10.3 Solving by Using the Quadratic Formula
- 10.4 Graphing Quadratic Equations and Inequalities
- 10.5 Functions
- Problems
- Focus on English
- [Answer Key
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