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2.6 The Distributive Property

Understand the distributive property and how to simplify expressions by combining like terms. Explore examples and practice problems.

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2.6 The Distributive Property

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  1. 2.6 The Distributive Property Accelerated Algebra I

  2. 2.6 The Distributive Property Term – • A number • A variable, or • A product/quotient of numbers and variables Examples:

  3. 2.6 The Distributive Property Coefficient – the numerical part of the term What is the coefficient of the following terms: • 4a • w4 4 1

  4. 2.6 The Distributive Property Like Terms Terms with the same exact variable AND exponent

  5. 2.6 The Distributive Property • Like terms can be added together. Unlike terms can not be added together. Ex- Simplify the expression: *An expression is simplified when all like terms are combined.

  6. 2.6 The Distributive Property A triangle has sides 3x – 2, 5 – x, and 2x – 5. What is the perimeter of the triangle?

  7. 2.6 The Distributive Property The Distributive Property is the process of distributing the numbers on the outside of the parentheses to the terms on the inside. a(b + c) = ab + ac and (b + c)a = ab + ac a(b - c) = ab - ac and (b - c)a = ab - ac

  8. 2.6 The Distributive Property • 2(x + 4) • 5(3x – 5) • -(2x + 3) • (3x2 – 2)(-2)

  9. 2.6 The Distributive Property Which statement demonstrates the distributive property incorrectly? • 3(x + y + z) = 3x + 3y + 3z • (a + b)c = ac + bc • 5(2 + 3x) = 10 + 3x • -6(3k – 4) = -18k + 24

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