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Mastering the Distributive Property for Math Success

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Understand and apply the distributive property through detailed examples and practice problems to enhance your math skills. Perfect for students looking to improve their algebraic understanding.

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Mastering the Distributive Property for Math Success

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  1. 132 99 62 160 Bell Work 1. 62 + 132 + (–62) 22 + 49 + 28 3. 4. 5. 4 × 8 × 5

  2. Check the paper you were handed • X = -9 • X = • X = -3 • X = 4 • X = 2 • X = 3 • X = • X = 10 • X = 4 • X = • X = -2 • X = Story Problems: Must have an equation with a variable, variable can be any letter. $12 + $3b = $30; b = 6 buckets $145 + $36w = $433; w = 8 weeks $6.99 + $0.55p = $11.49; p = 9 pounds -$10 + $7c = $32; c = 6 CD’s $500 + $22h = $1,204; h = 32 hours $5.95 + $0.19p = $15.83; p = 52 prints

  3. The Distributive Property

  4. The Distributive Property The product of a and (b+c): a(b+c) = ab + ac ex: 5(x + 2) = 5(x) + 5(2) 5x + 10 The product of a and (b-c): a(b-c) = ab – ac ex: 4(x –7)= 4(x) – 4(7) 4x –28 Sharing what is Outsidethe parentheses with EVERYTHING INSIDE the parentheses.

  5. 4 x 2 x +2 A Visual Example of the Distributive property Find the area of this rectangle. We could say that this is 4(x + 2) Or..

  6. 4 2 4 x So we can say that 4(x+2) = 4x+8

  7. Example using the distributive property

  8. Another Example

  9. Another Example Or

  10. Another Example Or

  11. 1) Which of the following expressions shows the distributive property for 5(3 + 7)? (5 + 3) x (5 + 7) (5 x 3) x (5 x 7) (5 x 3) + (5 x 7)

  12. Which of the following expressions shows the distributive property for 3(9 + 4) ? (3 x 9) + (3 x 4) (3 + 9) + (3 + 4) (3 + 9) x (3 + 4)

  13. Which of the following expressions is equivalent to:2( 3) + 2( 3) 2 + 2 + 3 + 3 2 (3 + 3) 3(2 + 3)

  14. Which of the following expressions is equivalent to:(4 x 3) + (4 x 8) ? 3 x (4 + 8) 8 x (3 + 4) 4 x (3 + 8)

  15. Which of the following expressions is equivalent to:(5 x 9) – (5 x 3) ? 3 x (9 – 5) 5 x (9 – 3) 9 x (3 – 5)

  16. 11) Which expression is equivalent to 3(x + 7)? x + 10 x + 21 3x + 7 3x + 21

  17. 12) Which expression is equivalent to 4(x + 5)? x + 9 4x + 20 4x + 5 9x

  18. 13) Which expression is equivalent to 8(x – 2)? 10x 8x – 2 8x – 16 8x – 10

  19. 14) Which expression is equivalent to 2(x – 3)? 2x – 6 2x – 5 2x – 3 2x – 2

  20. Practice: Worksheet Go Broncos

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