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Simplifying Algebraic Expressions: Distributive Property and Combining Like Terms

This chapter focuses on the essential algebraic skills of simplifying expressions by removing grouping symbols, applying the distributive property, and combining like terms. You'll learn how to effectively distribute factors across terms, identify and combine terms with similar variables, and streamline expressions for easier manipulation. Through guided examples and practice problems, this section aims to enhance your understanding of algebraic simplification, making it a critical foundation for solving equations and inequalities in mathematics.

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Simplifying Algebraic Expressions: Distributive Property and Combining Like Terms

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  1. Chapter 1.9 Grouping Symbols

  2. Review the Distributive Property and Combining Like Terms

  3. Simplifying Algebraic Expressions by Removing Grouping Symbols y 1. 5[4x – 3 – 2 )] ( ] 5 [ 4x – 3y + 6 20x – 15y + 30 distribute distribute can’t combine

  4. Simplifying Algebraic Expressions by Removing Grouping Symbols ( 3b – c 2. -3[2a ) + 4d] – + c + 4d – 3b ] -3 [ 2a -6a – 3c + 9b – 12d distribute distribute can’t combine

  5. Simplifying Algebraic Expressions by Removing Grouping Symbols ( x 1 – x )] – [3x 3. 3[4x + ( – 2 )] – 2 – [ 4x [ 3x – 2 – 2 + 2x ] + x ] 3 3[6x – 2] – [4x – 2] 18x – 4x – 6 + 2 14x – 4 distribute distribute combine combine

  6. Simplifying Algebraic Expressions by Removing Grouping Symbols ( 3 – 4x )]} 4. -2{5x – 3[2x – ]} – 3 -2{5x – 3[ 2x + 4x [ 6x – 3 ]} -2{5x – 3 – 18x -2 { 5x + 9 } { -13x + 9 } -2 – 18 26x distribute distribute distribute combine combine

  7. Chapter 1.9 Grouping Symbols

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