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Boutte  \nApril 2017  \nContents  \n1 Start Here! 3  \n2 Basic Algebra 5  \n2.1 Basic Tools ....................................... 5  \n2.1.1 Keywords .................................... 5  \n2.1.2 Solving Basic Algebraic Expressions .................... 6  \n2.1.3 Combining Like Terms ............................ 6  \n2.1.4 Fraction Busting ................................ 7  \n2.1.5 Cross Multiplying ............................... 7  \n2.2 Mid Point and Distance Formulas .......................... 9  \n2.3 Proportions ....................................... 10  \n2.4 Unit Conversion .................................... 10  \n2.5 Functions ........................................ 11  \n2.6 Complex Fractions ................................... 13  \n2.7 Exponent and Radical Rules ............................. 13  \n2.8 Exponential Problems ................................. 16  \n2.9 Radical Problems .................................... 16  \n2.10 \\In Terms Of\" Problems ............................... 17  \n2.11 Comparison Problems or E􀀋ect On Problems ................... 18  \n2.12 Inequalities ....................................... 19  \n2.12.1 Solving Inequalities .............................. 19  \n2.12.2 Graphing Inequalities ............................. 19  \n2.13 Polynomial Equivalence Problems .......................... 20  \n2.14 Absolute Values .................................... 21  \n2.14.1 Solving Absolute Values ........................... 21  \n2.14.2 Creating Absolute Values .......................... 22  \n3 Percents 22  \n3.1 Introduction ....................................... 22  \n3.2 Increasing Problems .................................. 23  \n3.3 Decreasing Problems .................................. 23  \n3.4 \\Percent Of\" Problems ................................ 24  \n3.5 Percent Word Problems ................................ 24  \n3.6 Turning other things into percents ......................... 24  \n4 Linear Functions 25  \n4.1 Finding Linear Functions ............................... 25  \n4.2 Interpreting Linear Functions ............................ 26  \n4.3 Graphing Linear Functions .............................. 26  \n4.4 Parallel and Perpendicular .............................. 27  \n5 Systems of Equations 28  \n5.1 De􀀌nition and Overview ............................... 28  \n5.2 Methods Solving Systems of Equations ....................... 28  \n5.2.1 Substitution .................................. 28  \n5.2.2 Elimination ................................... 28  \n5.3 Types of Solutions ................................... 29  \n5.3.1 One Solution .................................. 30  \n5.3.2 Zero Solutions ................................. 30  \n5.3.3 In􀀌nitely many solutions ........................... 31  \nFor SAT or ACT tutoring, contact Matt Boutte. [meb@mattboutte.com | www.mattboutte.com/tutor](meb@mattboutte.com | www.mattboutte.com/tutor)  \n5.4 Intersections ....................................... 31  \n5.5 Non-Linear Systems of Equations .......................... 31  \n5.6 Turning Word Problems into Systems of Equations ............... 32  \n6 Factoring and Related Topics 33  \n6.1 Factoring ......................................... 33  \n6.2 Completing the Square ................................ 37  \n6.3 Polynomial Division .................................. 38  \n6.4 Unde􀀌ned Rational Functions ............................ 39  \n7 Quadratics 39  \n7.1 De􀀌nition ........................................ 39  \n7.2 Terminology ....................................... 39  \n7.3 Standard Form ..................................... 40  \n7.4 Intercept Form ..................................... 40  \n7.5 Vertex Form ....................................... 41  \n7.6 Quadratic Formula ................................... 42  \n7.7 Discriminant ...................................... 42  \n7.8 Axis of Symmetry ................................... 42  \n7.8.1 F","cbCainjWqJ7aFqOS","https://ap.wps.com/l/cbCainjWqJ7aFqOS","pdf",359012,65,"English","# Start Here!\n# Basic Algebra\n## Basic Tools\n## Solving Basic Algebraic Expressions\n## Combining Like Terms\n## Fraction Busting\n## Cross Multiplying\n## Mid Point and Distance Formulas\n## Proportions\n## Unit Conversion\n## Functions\n## Complex Fractions\n## Exponent and Radical Rules\n## Exponential Problems\n## Radical Problems\n## \"In Terms Of\" Problems\n## Comparison Problems or Effect On Problems\n## Inequalities\n## Solving Inequalities\n## Graphing Inequalities\n# Percents\n# Linear Functions\n# Systems of Equations\n# Factoring and Related Topics\n# Quadratics\n# Complex Numbers\n# Geometry\n# Trigonometry\n# Circles\n# Statistics and Probability","[{\"question\":\"What math topics does the guide cover for SAT and ACT prep?\",\"answer\":\"The guide covers basic algebra, percents, linear functions, systems of equations, factoring and related topics, quadratics, complex numbers, geometry, trigonometry, circles, and statistics and probability.\"},{\"question\":\"Does the guide include practice-oriented problem types and skills?\",\"answer\":\"Yes. It breaks skills into subtopics like solving inequalities and graphing inequalities, combining like terms, working with functions, and handling percent word problems.\"},{\"question\":\"How are official SAT and ACT practice tests used in the guide?\",\"answer\":\"The guide includes cross references to official SAT and ACT practice tests so readers can connect each math skill to relevant practice problems.\"}]","SAT and ACT Math Guide - Cross References to Official Practice Tests - Study Tips | PDF",164]