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Expressions with Double Distribution

Expressions with Double Distribution. Double Distribution. Simplify 2 ( x – 4) – 5 ( 3x – 8). = 2x – 8 . - 15x + 40. Distribute. = -13x + 32. Combine like terms. Your Turn:. Simplify. 1. 5(x + 7) + 4(2x – 3) 2. -2(4x – 2) + 3(3x – 7) 3. -6(-3x – 2) + 5(2x – 4).

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Expressions with Double Distribution

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  1. Expressions with Double Distribution

  2. Double Distribution Simplify 2 ( x – 4) – 5 ( 3x – 8) = 2x – 8 - 15x + 40 Distribute = -13x + 32 Combine like terms

  3. Your Turn: Simplify. 1.5(x + 7) + 4(2x – 3) 2. -2(4x – 2) + 3(3x – 7) 3. -6(-3x – 2) + 5(2x – 4)

  4. Solving Multi-Step Equations Solve Equations with Distribution and Like Terms

  5. Combining Like Terms to Solve Equations Solve 12 – 7b + 10b = 18. 12 – 7b + 10b = 18 12 + 3b = 18 Combine like terms. – 12 – 12 Subtract 12 from both sides. 3b = 6 3b = 6 Divide both sides by 3. 3 3 b = 2

  6. Another Example Solve 14 – 8b + 12b = 62. 14 – 8b + 12b = 62 14 + 4b = 62 Combine like terms. – 14 – 14 Subtract 14 from both sides. 4b = 48 4b = 48 Divide both sides by 4. 4 4 b = 12

  7. Distribute and Combine like terms To solve an equation that contains parentheses you: Distribute Combine Like Terms Undo

  8. Using the Distributive Property to Solve Equations Solve 5(y – 2) + 6 = 21 5(y – 2) + 6 = 21 Distribute 5 on the left side. 5y– 10 + 6 = 21 Simplify and combine like terms. 5y – 4 = 21 + 4 + 4 Add 4 to both sides. 5y = 25 55 Divide both sides by 5. y = 5

  9. Another Exmple Solve 3(x – 3) + 4 = 28 3(x – 3) + 4 = 28 Distribute 3 on the left side. 3x – 9 + 4 = 28 Simplify and combine like terms. 3x – 5 = 28 + 5 + 5 Add 5 to both sides. 3x = 33 33 Divide both sides by 3. x = 11

  10. Your Turn: Solve. 1.c + 21 + 5c = 63 2. –x – 11 + 17x = 53 3. 6(x – 2) + 5x =43 4. 4(k – 3) + 1 = 33 5. 5(x – 6) + 4(2 - 3x) = -1 6. 2(x + 3) – 5( x – 1) = 32 c = 7 x = 4 x = 5 k = 11 x = -3 x = -7

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