Simplifying Expressions using Distributive Property | Expression & Equations | Grade 6

Introduction to the Distributive Property

• The distributive property is a crucial algebraic concept used to simplify expressions.

Example 1: Simplifying Expressions

Expression:

• 4 times the quantity of (2x - 5)

Steps:

1. Identify the Number: In front of the parentheses is the number 4, which indicates we need to distribute it.

2. Distribute: Multiply 4 by each term inside the parentheses:

   • First term: 4 times 2x = 8x

   • Second term: 4 times -5 = -20 (take note of the negative sign)

3. Combine Results: The simplified expression is 8x - 20.

Example 2: Another Application of the Distributive Property

Expression:

• 7 times the quantity of (-3x + 4)

Steps:

1. Identify the Number: The number 7 indicates distribution.

2. Distribute: Multiply 7 by each term inside:

   • First term: 7 times -3x = -21x

   • Second term: 7 times 4 = 28

3. Combine Results: The simplified expression is -21x + 28.

Important Reminders

• Always remember:

  • A number before parentheses means to distribute it to each term inside.

  • Include the sign in front of each term while performing the multiplication to avoid mistakes.