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Arithmetic Reasoning

Numbers & Operations

Whole Numbers: The Building Blocks of Math

Fractions: Parts of a Whole

Simplifying Fractions: Making Fractions Smaller

Fractions: Mastering the Four Operations

Decimals and Fractions: Two Sides of the Same Coin

Decimals: Numbers Beyond the Whole

Decimals: Unlocking the Power of Parts

Percentages: Parts Out of One Hundred

Measurement & Unit Conversion

Unit Conversion: Speaking the Same Language

Unit Conversion: Mastering the Language of Measurement

Algebra & Equations

Translating Words into Math: Unlocking the Language of Equations

Setting Up Equations: Unlocking the Power of Algebra

Solving for Variables: Unlocking the Secrets of Algebra

Geometry

Understanding Shapes: The Building Blocks of Geometry

Perimeter: Measuring Around the Edges

Area: Measuring the Space Inside

Ratios & Proportions

Ratios and Proportions: Comparing and Scaling

Mathematics Knowledge

Basic Arithmetic

Addition, subtraction, multiplication, division

Order of operations (PEMDAS/BODMAS)

Fractions, Decimals, & Percents

Converting between fractions, decimals, and percents

Operations with fractions (addition, subtraction, multiplication, division)

Operations with decimals and percents

Factors & Multiples

Prime and composite numbers

Greatest common divisor (GCD) and least common multiple (LCM)

Ratios & Proportions

Understanding and solving ratios

Setting up and solving proportions

Expressions & Equations

Simplifying algebraic expressions

Solving linear equations and inequalities

Solving systems of equations

Functions

Understanding functions and their notations

Evaluating functions

Polynomials

Adding, subtracting, multiplying polynomials

Factoring polynomials

Quadratic Equations

Solving quadratic equations by factoring, completing the square, and the quadratic formula

Basic Geometric Figures

Points, lines, planes, angles

Types of angles (acute, right, obtuse, straight)

Parallel and perpendicular lines

Triangles & Other Polygons

Properties of triangles (isosceles, equilateral, right)

Pythagorean theorem

Properties of quadrilaterals and other polygons

Circles

Parts of a circle (radius, diameter, circumference, area)

Arcs and angles in a circle

Solid Geometry

Volume and surface area of 3D shapes (cubes, spheres, cylinders, cones)

Units of Measurement

Understanding and converting between different units of measure (length, area, volume, mass, time)

Perimeter, Area, & Volume

Calculating the perimeter and area of various 2D shapes

Calculating the volume and surface area of various 3D shapes

Statistics

Mean, median, mode, and range

Probability

Basic probability concepts

Calculating probabilities of simple and compound events

Word Knowledge

Vocabulary Building

High-Frequency ASVAB Words

Word Parts & Their Meanings

Prefixes and Their Meanings

Suffixes and Their Meanings

Root Words and Their Origins

Electronics Information

Basic Electrical Concepts

Voltage, current, and resistance

Ohm's Law (V = IR)

Power (P = VI)

Electrical Components

Resistors

Capacitors

Inductors

Diodes

Transistors

Circuits

Series and parallel circuits

Kirchhoff's laws

Understanding circuit diagrams and schematics

Electronic Devices & Systems

Analog and digital signals

Common electronic devices (e.g., LEDs, integrated circuits, semiconductors)

Tools & Equipment

Multimeters (voltmeter, ammeter, ohmmeter)

Oscilloscopes

Soldering tools

Power supplies

AC & DC Currents

Differences between alternating current (AC) and direct current (DC)

Frequency and period of AC signals

Transformers

Electromagnetism

Magnetic fields and their interaction with electric currents

Electromagnetic induction

Motors and generators

Digital Electronics

Number systems (binary, hexadecimal)

Logic gates (AND, OR, NOT, XOR)

Boolean algebra

Flip-flops and latches

Counters and registers

Semiconductors

Diodes (types, applications)

Transistors (BJT, FET, applications)

Integrated circuits (ICs)

General Science

Biology

Cell Biology

Genetics

Evolution and Natural Selection

Ecology

Human Anatomy and Physiology

Plants and Animals

Geology

Rock Types (Igneous, Sedimentary, Metamorphic)

Plate Tectonics and Earthquakes

Erosion and Weathering

Meteorology

Atmosphere Composition and Structure

Weather Patterns and Phenomena

Climate and Climate Change

Astronomy

Solar System (Planets, Moons, Asteroids)

Stars, Galaxies, and the Universe

Space Exploration and Satellites

Oceanography

Ocean Currents and Tides

Marine Life and Ecosystems

Ocean Floor and Geological Features

Physics

Motion and Forces

Energy

Waves and Sound

Light and Optics

Chemistry

Matter and Its Properties

Atomic Structure

Chemical Reactions

Acids, Bases, and pH

Environmental Science

Natural Resources

Human Impact on the Environment

Scientific Method & Principles

Scientific Method

Measurement and Tools

Auto Information

Engine Fundamentals

Engine Types and Operation

Engine Components

Fuel Systems

Air and Fuel Management

Lubrication and Cooling Systems

Electrical & Electronic Systems

Basic Electrical Principles

Battery and Charging System

Ignition System

Engine Management Systems

Transmission & Drivetrain

Manual Transmissions

Automatic Transmissions

Other Transmission Types

Drivetrain Components

Brakes, Suspension, & Steering

Braking Systems

Suspension Systems

Steering Systems

Vehicle Maintenance, Repair, & Safety

Routine Maintenance

Basic Repair Procedures

Automotive Fluids and Lubricants

Safety and Regulations

Vehicle Safety Features

Shop Information

Basic Shop Skills & Safety

Shop Essentials

Shop Safety Fundamentals

Materials & Construction

Building Materials

Construction Fundamentals

Mechanical & Electrical Principles

Introduction to Mechanics

Electrical Basics

Applied Shop Practices

Metalworking

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