Full Description
Master the math section of the ACT with the only official guide prepared by the creators and administrators of the test
The Official ACT Mathematics Guide, 3rd Edition, is the most recent and authoritative update to the leading study resource for the widely used college admissions test. This comprehensive guide shows you what to expect on test day, offering intuitive and concept-based instruction, actual test questions from previous exams, and expert insights that reduce test anxiety and build confidence.
This book reflects the most recent changes to the ACT mathematics section and delivers a complete review of every math concept tested. With both print and customizable online practice questions, students can prepare in the way they feel most comfortable while working through problems organized by question type.
You'll also find:
Real ACT math questions from previous test administrations combined with detailed explanations for every problem
A concept-based approach that helps students understand the mathematical topics they'll encounter on test day
Comprehensive review of the entire mathematics section so students know exactly what to expect
Online access to the complete question pool for personalized, customizable practice sessions
Organization by question type to help students identify strengths and target areas needing improvement
Ideal for high school students preparing for college admissions or scholarship qualification, The Official ACT Mathematics Guide is a detailed and authoritative resource designed to help students of all skill levels perform at their highest level on test day.
Contents
Introduction vii
Chapter 1: The ACT Math Test 1
Reporting Categories: Score Reporting 2
Reporting Categories: Topic Overview 2
Chapter 2: Number and Quantity 5
Real Numbers 5
Number Line and Absolute Value 6
Exponents 17
Imaginary and Complex Numbers 22
Vectors 27
Matrices 30
Chapter 2: Quiz Answers 35
Chapter 3: Algebra 41
Scientific Notation 41
Equations 43
Linear Equations 51
System of Equations 53
Solving Systems of Equations Using Matrices 58
Roots 70
Logarithmic Equations 74
Chapter 3: Quiz Answers 75
Chapter 4: Functions 83
Domain and Range 83
Slope-Intercept Form of a Linear Equation 84
Slope and Intercept from a Line in the Coordinate Plane 86
Function Representation 88
Transformations of Functions 92
Inverse of a Function 95
Patterns and Modeling 98
Sequences 99
Unit Circle 102
Periodic Functions 106
Trigonometric Identities 110
Chapter 4: Quiz Answers 113
Chapter 5: Geometry 117
Coordinate Geometry 117
Lines and Angles 118
Two-Dimensional Shapes 121
Constructions and Proof 142
Three-Dimensional Shapes 145
Trigonometry 149
Chapter 5: Quiz Answers 155
Chapter 6: Statistics and Probability 161
Simple Probability 161
Sets of Numbers 166
Charts 170
Chapter 6: Quiz Answers 179
Chapter 7: Practice Questions 185
Chapter 8: Answers and Explanations 235
Answer Key and Explanatory Answers: Practice Test 1 236
Answer Key and Explanatory Answers: Practice Test 2 251
Answer Key and Explanatory Answers: Practice Test 3 263
Answer Key and Explanatory Answers: Practice Test 4 276
