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What to Expect in an Introductory Algebra Course
An introductory algebra course is a foundational step in understanding mathematics, blending logical thinking with practical problem-solving. Whether you’re a high school student, a returning adult learner, or brushing up for advanced courses, this class equips you with essential skills that are applicable in everyday life and future studies. Here’s what to expect.
Core Concepts
The primary focus of introductory algebra is learning to work with variables, symbols that represent numbers. You’ll explore topics such as:
- Equations and Inequalities: Understanding how to solve for an unknown in linear equations (e.g., 2x+3=72x + 3 = 72x+3=7) and working with inequalities like x+5>10x + 5 > 10x+5>10.
- Functions and Graphs: Learning about relationships between variables and how to represent them visually on a graph.
- Simplifying Expressions: Mastering operations with exponents, polynomials, and factoring.
- Real-World Applications: Using algebra to solve practical problems, like calculating interest or analyzing data trends.
Class Structure
Most courses combine lectures, problem-solving sessions, and group activities. Expect a mix of theoretical explanations and hands-on practice to ensure you grasp the material. Homework and regular quizzes are common, reinforcing concepts introduced in class.
Tools and Resources
You’ll likely need a scientific calculator, though some courses may introduce basic graphing tools. Online resources, such as tutorials or interactive algebra games, can provide additional practice. Don’t hesitate to seek help from your instructor or tutoring services if you’re struggling—early intervention makes a big difference.
Key Skills to Develop
Algebra emphasizes:
- Critical Thinking: Breaking problems into manageable steps.
- Attention to Detail: Small errors in algebra can lead to incorrect results.
- Patience and Persistence: Mastery often requires repeated practice.
Challenges and Tips
While algebra is logical, its abstract nature can be daunting at first. To succeed:
- Practice regularly to build confidence.
- Engage actively in class and ask questions.
- Relate concepts to real-life scenarios to enhance understanding.
An introductory algebra course is more than just a requirement; it’s a gateway to analytical thinking that can benefit you academically, professionally, and personally. Embrace the challenge and enjoy the process of discovering how math shapes the world around you.
Here you will find 225+ Algebra videos that cover every main concept you will see in a variety of Algebra classes. You can also follow along with the free textbook that goes along with the videos: [Pre-Algebra] | [ Elementary Algebra] | [Intermediate Algebra]
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Introduction to Sets (Beginning Algebra)
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Various Number Sets (Algebra)
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How to Plot Points on a Number Line
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Inequalities on a Number Line
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Opposite of a Number (Algebra)
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Absolute Value
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Absolute Value - Example 1
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Adding & Subtracting Numbers
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Minus a Negative Number
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Addition/Subtraction: Example 1
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Subtraction on a Graphing Calculator
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Product of Integers
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Product of Many Negative Numbers
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Quotients & Division (Algebra)
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Multiplication & Division With Zero
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Multiply and Divide on the Calculator
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Introduction to Prime Numbers
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How to Find a Prime Factorization of a Number
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How to Reduce a Fraction
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How to Convert Between Improper Fraction & Mixed Number
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How to Multiply Fractions
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Dividing Fractions
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Multiply & Divide w/ Fractions - Example
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Add/Subtract Fractions - Same Denominator
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Add & Subtract Fractions w/ Different Denominators
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LCM - Least Common Multiple
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Adding & Subtracting Decimals
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Multiplying Decimal Numbers
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Dividing Decimals
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How to Convert Decimals to Fractions
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Fractions to Decimals
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Fractions & Decimals on Calculator
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Converting Between Decimals & Percents
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How to Convert Percents and Fractions
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Introduction to Statistical Mean
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Introduction to Statistical Median
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Introduction to Statistics - Mode
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Introduction to Statistical Midrange
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Introduction to Statistical Range
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Exponents Basics
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Order of Operations
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Order of Operations - Example 1
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Order of Operations on Calculator
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Constants, Variables, Expressions & Equations
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Coefficients and Like Terms
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Evaluating Variable Expressions
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Distributive Property
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Distributive Property: Example 1
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Introduction to Linear Equations - 1 Variable
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Equation vs Expression