Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Unit 3 hw 4 - solving equations variable both sides

4,936 views

Published on

Published in: Education, Travel, Business
  • Sex in your area is here: ❶❶❶ http://bit.ly/2Qu6Caa ❶❶❶
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • Dating direct: ♥♥♥ http://bit.ly/2Qu6Caa ♥♥♥
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here

Unit 3 hw 4 - solving equations variable both sides

  1. 1. Unit 3 - Homework 4Solving Equations with Variables on Both Sides
  2. 2. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.
  3. 3. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign.
  4. 4. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation
  5. 5. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative.
  6. 6. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative. ★ Opposite Side, Opposite Operation
  7. 7. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative. ★ Opposite Side, Opposite Operation(4) Isolate term with variable.
  8. 8. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative. ★ Opposite Side, Opposite Operation(4) Isolate term with variable. ★ Opposite Side, Opposite Operation
  9. 9. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative. ★ Opposite Side, Opposite Operation(4) Isolate term with variable. ★ Opposite Side, Opposite Operation(5) Multiply or Divide to get coefficient of variable to 1.
  10. 10. Solve: 2a − 3 = 5a − 8
  11. 11. Solve: 2a − 3 = 5a − 8✦ Variables together Opposite side = Opposite operation
  12. 12. Solve: 2a − 3 = 5a − 8✦ Variables together Opposite side = Opposite operation ✦ Moving the smallest avoids dividing by a negative.
  13. 13. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation ✦ Moving the smallest avoids dividing by a negative.
  14. 14. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest avoids dividing by a negative.
  15. 15. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest avoids dividing by a negative.✦ Isolate variable term.
  16. 16. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest avoids dividing by a negative.✦ Isolate variable term.
  17. 17. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative.✦ Isolate variable term.
  18. 18. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative. 5 = 3a✦ Isolate variable term.
  19. 19. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative. 5 = 3a✦ Isolate variable term.✦ Divide by variables coefficient to make coefficient of variable 1.
  20. 20. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative. 5 = 3a Isolate variable term. 3 3✦✦ Divide by variables coefficient to make coefficient of variable 1.
  21. 21. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative. 5 = 3a Isolate variable term. 3 3✦✦ Divide by variables coefficient to make 5 coefficient of variable 1. =a 3
  22. 22. Solve: −3( x − 2 ) = −7 ( x + 5 )
  23. 23. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute.
  24. 24. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35
  25. 25. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, moving smallest. Opposite side = Opposite operation
  26. 26. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = Opposite operation
  27. 27. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation
  28. 28. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation✦ Isolate variable term.
  29. 29. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation✦ Isolate variable term.
  30. 30. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term.
  31. 31. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term. 4x = −41
  32. 32. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term. 4x = −41✦ Divide to make coefficient of variable 1.
  33. 33. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term. 4x = −41✦ Divide to make 4 4 coefficient of variable 1.
  34. 34. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term. 4x = −41✦ Divide to make 4 4 coefficient of variable 1. 41 x=− 4
  35. 35. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)
  36. 36. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute.
  37. 37. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3
  38. 38. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on left side.
  39. 39. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side.
  40. 40. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side.✦ Variables together, moving smallest. Opposite side = Opposite operation
  41. 41. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. Opposite side = Opposite operation
  42. 42. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = Opposite operation
  43. 43. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = Opposite operation✦ Isolate variable term.
  44. 44. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = Opposite operation✦ Isolate variable term.
  45. 45. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation✦ Isolate variable term.
  46. 46. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation 19x = −19✦ Isolate variable term.
  47. 47. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation 19x = −19✦ Isolate variable term.✦ Divide to make coefficient of variable 1.
  48. 48. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation 19x = −19✦ Isolate variable term. 19 19✦ Divide to make coefficient of variable 1.
  49. 49. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation 19x = −19✦ Isolate variable term. 19 19✦ Divide to make coefficient of variable 1. x = −1

×