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WARM UP

WARM UP. 4. MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) 6 + x = 8 x – 7 = 4 8 – x = 4 3x = 15 (x)(2) = 24 X ÷ 6 = 2. WARM UP. 3. MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) 6 + x = 8 x – 7 = 4 8 – x = 4 3x = 15 (x)(2) = 24 X ÷ 6 = 2.

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WARM UP

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  1. WARM UP 4 MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) 6 + x = 8 x – 7 = 4 8 – x = 4 3x = 15 (x)(2) = 24 X ÷ 6 = 2

  2. WARM UP 3 MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) 6 + x = 8 x – 7 = 4 8 – x = 4 3x = 15 (x)(2) = 24 X ÷ 6 = 2

  3. WARM UP 2 MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) 6 + x = 8 x – 7 = 4 8 – x = 4 3x = 15 (x)(2) = 24 X ÷ 6 = 2

  4. WARM UP 1 MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) 6 + x = 8 x – 7 = 4 8 – x = 4 3x = 15 (x)(2) = 24 X ÷ 6 = 2

  5. WARM UP 0 MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) 6 + x = 8 x – 7 = 4 8 – x = 4 3x = 15 (x)(2) = 24 X ÷ 6 = 2

  6. 2.6 The Distributive Property • Today’s Objective • Simplify expressions using the distributive property.

  7. Distribution 3(x + 2) • What operation happens here?

  8. Definition 3(x + 2) = 3(x) + 3(2) =3x + 6 Keyword = SHARED • Distributive Property • A number outside parenthesis must be multiplied by everything inside • Ex.

  9. Distributive Property 3 ** 3 is the candy. We must share the candy with everyone. That is, we must share 3 with x & 2. (x + 2) 3x + 32 Think of it like this… Ex. 3(x + 2) = ???

  10. Distributive Property (x + 9) -10 Uh oh! Don’t lose the negative sign as you distribute the spotlighted number!! -10(x) + -10(9) -10x + -90 -10x - 90 • Think of it like this… Ex. -10(x + 9) = ???

  11. Distributive Property -5 Make sure you know where your negative signs are in this problem!!!!! (x – 7) • Think of it like this… Ex. -5(x – 7) = ???

  12. Distributive Property 3 (2x + 3y – 4) • Think of it like this… Ex. 3(2x +3y – 4) = ???

  13. Distributive Property -5 (2x – y) Make sure you know where your negative signs are in this problem!!!!! • Think of it like this… Ex. -5(2x – y) = ???

  14. Distributive Property EXAMPLE 1 2(x + 5)

  15. Distributive Property EXAMPLE 2 8(1 + 2x)

  16. Distributive Property EXAMPLE 3 5(x + 3)

  17. Distributive Property EXAMPLE 4 (2x + 6)3

  18. Distributive Property EXAMPLE 5 2(x – 5)

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