SAT Math For Dummies with Online Practice, 2nd Edition

https://townofosceola.com/ynjz3h1e Title Page Copyright Page Table of Contents Introduction About This Book Foolish Assumptions Icons Used in This Book Beyond the Book Where to Go from Here Part 1 Getting Started with SAT Math Chapter 1 Welcome to SAT Math SAT Math Basics Using the Reference list of formulas Filling answers into the grid Overview of SAT Math Topics Heart of Algebra Problem Solving and Data Analysis Passport to Advanced Math (and Other Topics) SAT Math Strategy Isn’t there some way to get a good SAT Math score without actually knowing math? Is there a penalty for guessing? Are some questions harder than others? Do I have to answer every question? So, how many questions should I answer? When’s the latest I can take the SAT and still get into school? Hey wait — do I even have to take the SAT to go to college? Three SAT Success Stories Jay’s story — clearing Shaun’s story — breaking solidly beyond Amy’s story — reaching 700 and beyond Chapter 2 Review of Pre-Algebra Sets of Numbers Natural numbers Integers Rational numbers Real numbers Complex numbers Fractions, Ratios, Decimals, and Percentages Review of fractions and ratios Review of decimals and percentages Absolute Value Radicals Understanding radicals Multiplying and dividing radicals Simplifying radicals Adding and subtracting radicals Rationalizing radicals in the denominator Understanding Algebra Terminology Algebra and arithmetic Equations, identities, and inequalities Expressions Polynomial basics Graphing on the xy-Plane Understanding the axes, the origin, and the quadrants Plotting coordinates on the xy-plane Plotting equations on the xy-plane Choosing and Using a Calculator Knowing which calculators to avoid on the SAT Choosing a calculator Knowing some basic calculator moves Getting familiar with a few advanced calculator moves Part 2 Conquering the Heart of Algebra Chapter 3 Algebra I Reboot Part 1: Expressions Evaluating Expressions Simplifying Expressions Combining like terms Distributing to remove parentheses FOILing to multiply the contents of parentheses Factoring Expressions GCF Factoring Difference of squares Sum and difference of cubes Factoring quadratic trinomials Factoring cubic expressions Chapter 4 Algebra I Reboot Part 2: Equations and Inequalities Solving Simple and Intermediate Algebra Equations Solving basic algebra equations Working with equations that have more than one variable Solving More Difficult Equations Solving quadratic equations Solving rational equations Solving Inequalities Using equation-solving skills with inequalities Knowing when to flip the inequality sign Lining up inequalities to solve systems Chapter 5 Linear Functions Interpreting Linear Functions as Words, Tables, Graphs, and Equations Understanding linear functions in four complementary ways Answering SAT questions about linear functions Linear Function Basics Slope-intercept form Standard form Using Two Formulas to Find the Slope Measuring the slope of a graph Measuring slope using two points Solving Linear Function Problems Finding the equation when you have two pieces of information Understanding problems with parallel and perpendicular lines Solving Word Problems Angela’s flowers Peter’s autos Jacqueline’s ascent Chapter 6 Systems of Equations Systems of Linear Equations Solving systems of linear equations Looking for a fast solution Solving word problems with a system of linear equations Working with Problematic Systems of Equations Understanding systems with one solution Troubleshooting problematic systems Understanding what makes a system problematic Answering SAT questions about problematic systems Systems of Linear Inequalities Setting up systems of linear inequalities to solve word problems Graphs with linear inequalities Systems of Non-Linear Equations Part 3 Tackling Problem Solving and Data Analysis Chapter 7 Ratios, Proportions, and Percentages Understanding Ratios and Proportions Understanding ratios Creating proportional equations Using Ratios and Proportions to Solve SAT Word Problems Solving unit conversion problems Using population density in a proportional equation Answering questions involving similar triangles Understanding direct proportionality Using Percentages to Answer SAT Questions Setting up equations to solve percentage problems Solving percent increase and percent decrease problems Chapter 8 Statistics and Probability Statistics Statistical calculations Collecting data and interpreting statistics Probability Understanding the probability formula Answering SAT probability questions Answering table-based SAT probability questions Chapter 9 Understanding Data and Information from Tables and Graphs Reading Information from Tables Understanding Bar Graphs, Histograms, and Dot Plots Bar graphs Histograms Dot plots Working with Line Graphs and Scatterplots Mapping time with line graphs Understanding scatterplots Part 4 Your Passport to Advanced Math Chapter 10 Functions Understanding Function Notation Evaluating a function by plugging in a number Evaluating a function plus or minus a value Evaluating a function times or divided by a value Evaluating a function by plugging in a variable or an expression Working with Function Notation Combining functions Compositions of functions Inverse functions Using the Vertical Line Test for Functions Knowing Some Key Parent Functions Polynomial functions Other important parent functions Transforming Functions Clarifying vertical and horizontal transformations Understanding stretch-compress-flip transformations Working with all three types of transformations Chapter 11 Polynomials Knowing Polynomial Basics Looking at the leading term Using the constant term to find the y-intercept Identifying Odd and Even Polynomials Identifying odd and even functions Spotting end behavior as x approaches  Finding the x-Intercepts of Polynomials Knowing a few names for x-intercepts Finding the x-intercepts of a polynomial in factored form Finding the x-intercepts of a polynomial in standard form Sketching the Graph of a Polynomial Sketching a polynomial from its factored form Sketching “bounce” x-intercepts Sketching a polynomial from its standard form Equivalent Polynomials Recalling Synthetic Division for Polynomials Chapter 12 Quadratic Functions The Quadratic Function in Standard Form Understanding standard-form quadratic functions Sketching a parabola from standard form The Quadratic Function in Vertex Form Understanding vertex form quadratic functions Sketching a parabola from vertex form Connecting Standard and Vertex Forms Changing vertex form to standard form Changing standard form to vertex form Finding the Roots of a Quadratic Function Distinguishing quadratic functions from quadratic equations Identifying quadratic functions with 2, 1, and no x-intercepts Using the discriminant to count x-intercepts Finding the roots of a quadratic function Using quadratic equations to solve word problems about projectiles Chapter 13 Exponential and Radical Equations Solving Exponential Equations Using exponential identities Solving exponential equations Answering SAT Math Questions Using Exponential Functions Understanding exponential growth Working with exponential decay Graphing Exponential Functions Radical Equations and Functions Solving radical equations Graphing radical functions Chapter 14 Geometry and Trigonometry Geometry Geometric formulas for success Knowing the angles Isosceles triangles Similar triangles Working with right triangles Trigonometry Using SOH-CAH-TOA to understand sines, cosines, and tangents Building a triangle from a single trig ratio Applying trig ratios to special right triangles Remembering the most important SAT identity Radian measure and arc length Chapter 15 Additional SAT Math Topics Imaginary and Complex Numbers The imaginary number i Complex numbers Circles on the xy-Plane Circles in center-radius form Plotting points on a circle on the xy-plane Identifying interior and exterior points on a circle Completing the square to solve difficult circle problems Part 5 Practice Makes Perfect: SAT Math Section Practice Tests Chapter 16 Practice SAT Math Test Answer Sheet for Practice SAT Math Test Section 3 — No Calculator Section 4 — Calculator Chapter 17 Answers and Explanations for Practice SAT Math Test Section 3 — No Calculator Section 4 — Calculator Chapter 18 Practice SAT Math Test Answer Sheet for Practice SAT Math Test Section 3 — No Calculator Section 4 — Calculator Chapter 19 Answers to Practice SAT Math Test Section 3 — No Calculator Section 4 — Calculator Part 6 The Part of Tens Chapter 20 Ten Things You Will Almost Definitely See on Your SAT Math Test Linear Functions Systems of Linear Equations Quadratic Functions Percentages Ratio/Proportion Problems The Mean and the Median The Trig Identity The Quadratic Formula The Imaginary Number i Circles on the Graph Chapter 21 Ten Tips to Improve Your SAT Math Score Study Diligently in Your Math Classes Get Good at Doing Basic Calculations in Your Head Get Good at Using Your Calculator Study SAT-Specific Math Skills Get Comfortable Turning Words into Numbers Take Timed Practice Tests When Taking Practice Tests, Budget Your Time to Maximize Your Score Study from Your Timed Practice Tests Retake Your Timed Practice Tests Take the SAT More than Once Chapter 22 Ten Tips to Be at Your Best on the SAT Do Something Fun the Day Before the Test Don’t Study for More than 20 Minutes the Night Before the Test Pack Everything You Need the Night Before Do Something Relaxing Before Bed Get a Good Night’s Sleep Wear Several Layers of Clothing Arrive at the Test Site Extra Early Spend Your Time Just Before the Test However You Please Remember to Breathe Skip Over Any Questions That Throw You Index EULA