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Solving 2-step Equations

Solving 2-step Equations. Algebra 1 – Mrs. Puccio. 9. Isolate k.  9  9. Cancel 9. 1. 4k = -8. 4. Cancel 4. 4 4. 9 + 4k = 1. k = -2. – 7. Isolate b. + 7 + 7. Cancel - 7. 2. 6b = 24. 6. Cancel 6. 6 6. 6b – 7 = 17. b = 4. 3. Isolate n. 3 3.

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Solving 2-step Equations

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  1. Solving 2-step Equations Algebra 1 – Mrs. Puccio

  2. 9 Isolate k.  9  9 Cancel 9. 1. 4k = -8 4 Cancel 4. 4 4 9 + 4k = 1 k = -2

  3. –7 Isolate b. + 7 + 7 Cancel - 7. 2. 6b = 24 6 Cancel 6. 6 6 6b – 7 = 17 b = 4

  4. 3 Isolate n. 3 3 Cancel 3. 3. 10 = 2n 2 Cancel 2. 2 2 13 = 3 + 2n 5 = n n = 5

  5. 2 Isolate c.  2  2 Cancel 2. 4. = 21 -7 7 - c Cancel -7. -7 -7 2 – 7c = 23 c = -3

  6. 8 Isolate m.  8  8 Cancel 8. 5. Rewrite with coefficient. = 28 - m -1m= 28 -1 Cancel -1. 8 – m = 36 -1 -1 m = -28

  7. Mult. Eq. by 10. 5y + 10 = 65 + 10 Isolate y. 6.  10  10 Cancel + 10. 5y = 55 5 Cancel 5. 0.5y + 1 = 6.5 5 5 y = 11

  8. + 1 Isolate t. 1 1 Cancel + 1. 7. 40 = -10t -10 Cancel -10. -10 -10 41 = -10t + 1 -4 = t t = -4

  9. x 3 x 3 Isolate x. +6 66 Cancel + 6. 8. = 4 ( ) ( ) 33 Cancel 3. 3 + 6 = 10 x = 12

  10. 7+n 4 7+n 4 = -8 = -8 Isolate n. ( )() 44 9. Cancel 4. 4 7 + n = -32 7 Cancel 7. -7 -7 n = -39

  11. a 7 a 7 10 Isolate a. = 12 1010 Cancel 10. 10. - = 2 -7(-7) ( ) ( ) - Cancel -7. 7 10 – a = -14

  12. 2 3 5 Isolate m. 2 3 m = 13  55 Cancel 5. 11. 2 3 4 2 3 - - m = 8 -(- ) Cancel - . ( ) ( ) 1 5 – 1 3 2 3 2 m = -12

  13. Find three consecutive integers whose sum is 42. first: x -15 12. -15 + 1 second: x + 1 -14 -15 + 2 third: x + 2 + -13 sum: 3x + 3 = -42 + 3 - 3 - 3 Answer: 3x = -45 3 -15, -14, -13 3 3 x = -15

  14. Find two consecutive odd integers whose sum is 38. first: x 18 13. 18 + 2 second: x + 2 + 20 sum: 2x + 2 = 38 + 2 - 2 - 2 Answer: 2x = 36 2 18, 20 2 2 x = 18

  15. Find three consecutive even integers such that the sum of the first and last is -34. -20 first: x second: x + 2 -18 14. third: x + 4 -20 + 2 -20 + 4 -20 + 6 -16 last: x + 6 Answer: -14 first + last x + x + 6 = -34 -20,-18,-16,-14 2x + 6 = -34 + 6 - 6 - 6 2 2x = -40 2 2 x = -20

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