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BELL-WORK

This tutorial explains how to solve multi-step equations by combining like-terms and using the distributive property. It provides examples and step-by-step instructions.

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BELL-WORK

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  1. BELL-WORK 1. Evaluate 3x + 5y2 for x = 0, y = -3 3(0) + 5(-3)2 0 + 5(9) 45

  2. BELL-WORK Solve: 2. x + 7 = 41 2 x = 34 2 x = 68

  3. BELL-WORK Solve: 3. -x = 45 5 -x = 225 x = -224 • -2x + 9 = -11 -2x = -20 x = 10

  4. Solving 2-Step Equations Solve: 23 – 2x = 49 -2x = 49 – 23 -2x = 26 x = -13

  5. Solving 2-Step Equations Solve: 14 – h = 8 -h = 8 – 14 -h = -6 -1h = -6 -1h = -6 ÷ -1 h = 6

  6. Solving 2-Step Equations Solve: 4 – x = 10 -x = 10 – 4 -x = 6 -1x = 6 -1x = 6 ÷ -1 x = -6

  7. Did you get it? On your page solve: 10 – 3x = 31 -3x = 21 x = -7 15 – x = 13 -x = -2 x = 2

  8. Solving Multi-Step Equations:Combining Like-Terms Examples: 3a + 6 + a = 90 3a + a + 6 = 90 4a + 6 = 90 4a = 84 a = 21 7p + 8p – 12 = 59 15p = 71 p = 71 15

  9. Solving Multi-Step Equations:Using The Distributive Property The distributive property states that multiplication can be distributed over a sum. a(b + c) = a●b + a●c Example: 2(4 + 6) 2●4 + 2●6 8 + 12 20

  10. The Distributive Property Simplify using the distributive property : 2(5x + 3) 2●5x + 2●3 10x + 6 6(m + 5) = 6●m + 6●5 = 6m + 30 2(h – 7t) 2●h – 2●7t 2h – 14t

  11. The Distributive Property -2(6x + 4) = = -2●6x + -2●4 = -12x + -8 = -12x – 8 Please note: 2 different signs yield a minus 2 of the same signs yield a plus + - = – – - = +

  12. The Distributive Property -3(7 + 5b) -3●7 + -3●5b -21 – 15b -15b – 21 -4(2 – 9c) -4●2 – -4●9c -8 + 36c 36c – 8

  13. The Distributive Property -(3 – 8y) -1(3 – 8y) -1●3 – -1●8y -3 + 8y 8y – 3 -(4t – 5) -1(4t – 5) -1●4t – -1●5 -4t + 5

  14. Solving Multi-Step Equations 2(x – 3) = 8 2x – 6 = 8 2x = 14 x = 7 8n – (2n – 3) = 12 8n – 1(2n – 3) = 12 8n –1∙ 2n – -1∙3 = 12 8n – 2n + 3 = 12 6n + 3 = 12 6n = 9 n = 3 2

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