ACT Math Test Walkthrough

Introduction

• Presenter: Matt from Prep Pros
• Focus on a complete walkthrough of an ACT Math test.
• Matt's credentials:
  • Perfect ACT Math scores multiple times.
  • Coached students to high scores.
  • Published ACT Math book.
• Recommendation: Download and attempt the practice test from Prep Pros website before watching the video.

Structure of ACT Math Test

• Difficulty increases as you progress.
• First 15-20 questions are easier.
• Last 10-15 questions are harder.

Key Concepts and Strategies

Exponents

• Multiplication: Add the exponents.
• Example: Multiply numbers and then add exponents of similar bases.

Probability

• Calculate probability through complementary events.

Averages

• Mean: Sum of numbers divided by count.
• Use algebraic manipulation to solve for unknowns.

Unit Conversion

• Convert using dimensional analysis.
• Practice converting units systematically.

Geometry

• Triangles and Circles: Key formulas for area and perimeter.
• Pythagorean Theorem: Use for right triangles.
• Circle Equations: Understand standard form.

Algebra

• Solving Equations: Use elimination and substitution methods.
• Factorization: Recognize patterns and apply factoring techniques.

Matrices

• Basic operations: Addition, subtraction, multiplication.
• Understand dimensions and operations compatibility.

Functions and Graphs

• Composite Functions: Evaluate inside out.
• Graphing: Recognize key features of functions and transformations.

Trigonometry

• SOHCAHTOA: Essential for solving angle and side problems in triangles.
• Law of Sines/Cosines: Advanced application for non-right triangles.

Logarithms

• Change of Base Formula: Solve logs using calculators.
• Properties of Logs: Simplification through known log identities.

Complex Numbers

• Simplify using conjugates.
• Operations involving imaginary units.

Probability and Statistics

• Combinations: Calculate using factorial methods.
• Distribution Types: Recognize different statistical distributions.

Additional Practice

• Importance of practice and recognizing patterns.
• Use of diagnostic sheets to identify weak areas.

Resources Offered

• Prep Pros ACT Math Book: Comprehensive guide with up-to-date coverage.
• Video Course: Over 35 hours of teaching, covering each chapter in detail.
• Free Trial: Access to full ACT preparation materials, including all subjects.

Final Tips

• Practice consistently, focus on understanding key concepts.
• Use available resources to enhance learning and test performance.