The Official Act Mathematics Guide

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  • Format: Paperback
  • Copyright: 2020-04-21
  • Publisher: John Wiley & Sons Inc

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Supplemental Materials

What is included with this book?


Are you prepared to do your best on the ACT mathematics section test?

The Official ACT Mathematics Guide is the only test prep resource created by the makers of the ACT to prepare you for the mathematics ACT test. This step-by-step guide reviews the entire ACT mathematics test, allowing you to familiarize yourself with the types of questions you can expect to see on test day. You'll learn the math you need to know, as well as how to approach each question type. Read the solutions to each problem, along with detailed explanations, to improve your performance and gain the confidence you need to succeed!

Unlike other ACT prep guides, this book includes official information on the ACT, including section retesting, online testing, ACT superscores, and more. The official ACT subject guides offer the most current details on ACT testing, helping you gain that edge. With The Official ACT Mathematics Guide, work toward the score you're targeting and take one major step toward achieving your educational goals!

  • Review the entire ACT mathematics test, so you’ll know what to expect on test day
  • Familiarize yourself with the types of math questions found on the ACT and strategies for solving them
  • Understand the math topics within the problems you'll solve while taking the mathematics test
  • Study detailed math solutions and read explanations for every official ACT math question in the book

With this concept-based guide straight from the offices of the ACT, you know you’re preparing to do your absolute best on the ACT mathematics section test!

Author Biography

ACT (Iowa City, IA) is a not-for-profit organization providing assessment, research, information, and program management services to support education and workforce development. Known most widely as the makers of the ACT exam--the college readiness and placement assessment taken by some 1.8 million high school students each year--ACT produces a number of assessments and services reaching more than 10 million people along the kindergarten through career continuum. ACT's rigorous research informs policy decisions and helps develop programs that boost lifelong learning potential in schools and workplaces around the world. To learn more, visit

Table of Contents

Introduction v

Chapter 1: The ACT Math Test 1

Reporting Categories: Score Reporting 2

Reporting Categories: Topic Overview 2

Chapter 2: Number and Quantity 5

Real and Complex Number Systems 5

Number Line and Absolute Value 6

Exponents 17

Imaginary and Complex Numbers 21

Vectors 25

Matrices 28

Chapter 2: Quiz Answers 33

Chapter 3: Algebra 37

Scientific Notation 37

Equations 39

Linear Equations 45

System of Equations 48

Roots 61

Logarithmic Equations 65

Chapter 3: Quiz Answers 66

Chapter 4: Functions 73

Series, Sequences, and Consecutive Numbers 73

Slope-Intercept Form of a Linear Equation 76

Chapter 4: Quiz Answers 84

Chapter 5: Geometry 87

Coordinate Geometry 87

Lines and Angles 88

Two-Dimensional Shapes 91

Three-Dimensional Shapes 116

Trigonometry 121

Chapter 5: Quiz Answers 131

Chapter 6: Statistics and Probability 139

Probability 139

Sets of Numbers 141

Charts 144

Chapter 6: Quiz Answers 146

Chapter 7: Practice Questions 149

Chapter 8: Answers and Explanations 195

Answer Key 196

Explanatory Answers 197

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