Properties of Real Numbers & Simplifying Expressions | Algebra Made Easy

Learn how to simplify expressions and understand the properties of real numbers in this focused Algebra walkthrough. We break down how to identify terms, coefficients, and constants, use the distributive property, combine like terms, and apply expressions to solve real-world problems.

This lesson aligns with the Common Core State Standards:

HSA.SSE.A.1 – Interpret expressions that represent a quantity in context
HSA.SSE.A.1.A – Interpret parts of an expression, such as terms, factors, and coefficients
HSA.SSE.A.1.B – Interpret complicated expressions by viewing parts as single entities

What you'll learn:

How to break down and interpret parts of algebraic expressions
Simplifying using the distributive property
Writing expressions for real-life scenarios
Combining like terms for cleaner expressions
Using expressions to model geometric concepts like perimeter
A bonus challenge problem is included at the end—drop your answer in the comments!

Whether you’re reviewing or learning this for the first time, this video will help you build strong algebra foundations.

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Topics Covered with Time Stamps:
00:00 - Intro
00:29 - Identify Parts of an Expression
01:52 - Simplify Using the Distributive Property
03:39 - Apply the Distributive Property in Word Problems
05:09 - Simplify an Expression with Like Terms
06:32 - Real-World Expression for Perimeter
08:45 - Summary
09:06 - Includes a bonus question at the end to extend learning and reinforce the concepts taught in the video.

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