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**The Distributive Property**

Integrated Mathematics

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**The Distributive Property**

Ex. 1) 5(x + 7) Ex. 3) –2(y + 3) Ex. 2) 3(m – 4) Ex. 4) –3(2x – 8)

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**The Distributive Property**

Ex. 5) – (y – 5) Ex. 6) – 6(2a – 3b + 5c)

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**Which Statement Demonstrates the Distributive Property Incorrectly?**

3(x + y + z) = 3x + 3y + 3z (a + b) c = ac + bc 5(2 + 3x) = x 6(3k - 4) = 18k - 24

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**A term is a: 1) number, 2) variable, or**

3) a product / quotient of numbers and variables, Example: 5, m, 2x2

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**Like Terms are terms with the same variable AND exponent.**

To simplify expressions with like terms, simply combine the like terms by adding the coefficients.

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**The Coefficient is the number in front of the variable.**

Examples 4a y2 5x

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Are these like terms? 1) 13k, 22k 2) 5ab, 4ba 3) x3, x

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-2a 12b 10 15 4x Like Terms 7a -15b 8y 4x -9y

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**Which of the following is the simplified form of -4x + 7x ?**

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**Simplify 1.) 5a + 7a 2.) 6y – 2y 3.) 4x2y + x2y**

4.) 3m2 + 10n2 + 7m2 - 4n2

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Simplify 5.) 13a + 8a + 6b 6.) 4d d + 12 7.) 2y – 5y² + 4y + 7y²

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**Practice -6k + 7k 12r – 8 – 12 n – 10 + 9n – 3 -4x – 10x - r – 10r**

-v + 12v 8x + 11x 4p – 2p n + 4 – 9 – 5n 12r r - 5

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Simplify a + 3a - 4(9 - a) 5(x – 1) – 4(2x – 8)

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Simplify -3(y + 7) + 5(3y – 9) -2x + 7(x - 2)

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Simplify 5(2x + 3) – 7 -(5x + 2) + 4x – 10

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