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Solving Multi-Step Equations

hermione-demetra avatar
hermione-demetra
20 diapositives · 527 Views · Nov 13, 2014

Solving Multi-Step Equations. Just remember to follow the steps Distribute if you can Collect all like terms to simplify Isolate the variable using the opposite order of operations Check your answer. Example # 1. 1 st Step: Distribute if you can

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Solving Multi-Step Equations
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  1. Solving Multi-Step Equations Just remember to follow the steps Distribute if you can Collect all like terms to simplify Isolate the variable using the opposite order of operations Check your answer

  2. Example # 1 1st Step: Distribute if you can 2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations 4th step: Check your answer 15 – 4 ( y + 3 ) = 19 • - 4y- 12 = 19 3 - 4y = 19 -3 - 3 -4 y = 16 -4 -4 y = -4 15 – 4 ( y + 3 ) = 19 15 – 4 ( -4 + 3) = 19 15 + 16 – 12 = 19 31 – 12 = 19 19 = 19

  3. Example # 2 ¼ (12 x – 16) + x = 20 1st Step: Distribute if you can 2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations 4th step: Check your answer

  4. Example # 3 1st Step: Distribute if you can 2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations 4th step: Check your answer 2( 4x + 3) – 5(2x – 1) = 27

  5. The Distributive Property Our Friend for Solving Equations Also starring, his Wacky Sidekick, Combining Like Terms

  6. 3(2x + 5) = 39

  7. Answer: x = 4

  8. - 4(8 + 5n) = 8

  9. Answer: n = -2

  10. 6(3x - 5) - 7x = 25

  11. Answer: x = 5

  12. -2(5 + 6m) + 16 = -90

  13. Answer: m = 8

  14. 18x - (8x - 7) = 67

  15. Answer: x = 6

  16. 7w - 3(4w + 8) = 11

  17. Answer w = -7

  18. Solving Multi-Step Equations with Distributive Property & Collecting Like Terms Write and solve an equation to find the missing length, a, if the length of the two line segments combined is 36 cm. 2a cm 4a cm

  19. 1st Step: Collect like terms to simplify 2nd Step: Isolate the variable using the opposite order of operations 3rd step: Check your answer Write and solve an equation to find the missing length, a, if the length of the two line segments combined is 36 cm. 2a cm 4a cm 2a + 4a = 36 6a = 36 6 6 a = 6 • 2(6) + 4(6) = 36 • + 24 • 36 = 36

  20. 1st Step: Distribute if you can2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations 4th step: Check your answer Six friends go to the movies. Movie tickets are $5 and treats are $2 each. If all 6 friends bought the same number of treats, how many did each person buy if the total spent by all was $54? 6(5 + 2x) = 54 30 + 12x = 54 -30 -30 12x = 24 12 12 x = 2 6 ( 5 + 2x ) = 546 ( 5 + 2*2) 6 ( 5 + 4) 6(9) 54 = 54