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Solving One-Step Equations Gangnam Style Video

Solving One-Step Equations Gangnam Style Video. Step-by-step. Vocabulary. Inverse Operation- two operations that “undo” each other, such as addition and subtraction Equivalent Equations- equations that have the same solution. Solving an equation using subtraction. Solve m + 12 = 7

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Solving One-Step Equations Gangnam Style Video

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  1. Solving One-Step EquationsGangnam StyleVideo

  2. Step-by-step

  3. Vocabulary • Inverse Operation- two operations that “undo” each other, such as addition and subtraction • Equivalent Equations- equations that have the same solution

  4. Solving an equation using subtraction • Solve m + 12 = 7 First write the original equation. m + 12 = 7

  5. Solving an equation using subtraction • Solve m + 12 = 7 First write the original equation. m + 12 = 7 Then do the inverse operation. Subtract 12 from each side. m + 12 = 7 - 12 -12

  6. Solving an equation using subtraction • Solve m + 12 = 7 First write the original equation. m + 12 = 7 Then do the inverse operation. Subtract 12 from each side. m + 12 = 7 - 12 -12 Simplify m = - 5

  7. Check your solution. • m + 12 = 7

  8. Check your solution. • m + 12 = 7 -5 + 12 =? 7 Substitute the solution for the variable

  9. Check your solution. • m + 12 = 7 -5 + 12 =? 7 7 = 7 Simplify

  10. Check your solution. • m + 12 = 7 -5 + 12 =? 7 7 = 7 YES! SOLUTION CONFIRMED!

  11. Solving an equation using addition • Solve -2 = x - 9

  12. Solving an equation using addition • Solve -2 = x - 9 First write the original equation.

  13. Solving an equation using subtraction • Solve -2 = x - 9 First write the original equation. -2 = x - 9 Then do the inverse operation. Which is what?

  14. Solving an equation using subtraction • Solve -2 = x - 9 First write the original equation. -2 = x - 9 Then do the inverse operation. Add 9 to each side. -2 = x – 9 + 9 + 9

  15. Solving an equation using subtraction • Solve -2 = x - 9 First write the original equation. -2 = x - 9 Then do the inverse operation. Add 9 to each side. -2 = x – 9 + 9 + 9 Simplify + 7 = x

  16. Check your solution. • -2 = x - 9 -2 =? 7 – 9 -2 = -2 YES! SOLUTION CONFIRMED!

  17. Writing and Solving an Equation • You are traveling to Louisville, Kentucky. You have already traveled 122 miles, and you just passed a road sign that said Louisville is 76 miles away. How far is Louisville from the start of your trip?

  18. Writing and Solving an Equation • Let d represent the distance from the start of your trip to Louisville. • Write a verbal model. - = Distance from the start to Louisville Distance traveled Remaining distance

  19. Writing and Solving an Equation • Let d represent the distance from the start of your trip to Louisville. • Write a verbal model. - = Use the verbal model to write an equation. d - 122 = 76 Distance from the start to Louisville Distance traveled Remaining distance

  20. Writing and Solving an Equation • Let d represent the distance from the start of your trip to Louisville. • Write a verbal model. - = Use the verbal model to write an equation. d - 122 = 76 Inverse operation + 122 + 122 Distance from the start to Louisville Distance traveled Remaining distance

  21. Writing and Solving an Equation • Let d represent the distance from the start of your trip to Louisville. • Write a verbal model. - = Use the verbal model to write an equation. d - 122 = 76 Inverse operation + 122 + 122 Simplify d = 198 Distance from the start to Louisville Distance traveled Remaining distance

  22. Check your solution • d = 198 • d – 122 = 76 198 – 122 =? 76 76 = 76 • YES! • Louisville is 198 miles from the start of your trip.

  23. Your turn-Shopping Spree • You have $37 left after shopping. You started with $85. How much money did you spend? • Write a verbal model, equation, and then solve.

  24. Shopping Spree • Money + Money = Money left spent started Let m be the money I spent.

  25. Shopping Spree • Money + Money = Money left spent started Let m be the money I spent. 37 + m = 85

  26. Shopping Spree • Money + Money = Money left spent started Let m be the money I spent. 37 + m = 85 -37 - 37

  27. Shopping Spree • Money + Money = Money left spent started Let m be the money I spent. 37 + m = 85 -37 - 37 m = 48

  28. Check your Solution • 37 + m = 85 • 37 + 48 =? 85 85 = 85 YES!

  29. One more-Bike Race • You are in a 50 km bike race. You have to bike 21 kilometers until you reach the finish line. How far have you already biked?

  30. Bike Race • Total = Distance + Distance distance traveled left d = distance traveled

  31. Bike Race 50 = d + 21 - 21 - 21 29 = d

  32. Check • 50 = d + 21 50 =? 29 + 21 50 = 50 YES!

  33. Equations-Multiplying & Dividing Gangnam Style Video

  34. Solving an Equation Using Division • Solve 9x = -108

  35. Solving an Equation Using Division • Solve 9x = -108 • Inverse Operation?

  36. Solving an Equation Using Division • Solve 9x = -108 • Inverse Operation? Divide by 9

  37. Solving an Equation Using Division • Solve 9x = -108 • Inverse Operation? Divide by 9 9x = -108 9 9

  38. Solving an Equation Using Division • Solve 9x = -108 • Inverse Operation? Divide by 9 9x = -108 9 9 x = -12

  39. Check 9x = -108 9 (-12) =? -108 -108 = -108 YES!

  40. Solving an Equation Using Multiplication • k = 5 25

  41. Solving an Equation Using Multiplication • k = 5 25 Inverse Operation?

  42. Solving an Equation Using Multiplication • k = 5 25 25 k = 5 25 25

  43. Solving an Equation Using Multiplication • k = 5 25 25 k = 5 25 25 k = 125

  44. Check • k = 5 25 125 =? 5 25 5 = 5 YES!

  45. Writing and Solving an Equation • If you divide your camera film equally over your 7-day vacation, you will take 25 pictures a day. How many exposures do you have? • Let e represent the number of exposures.

  46. Writing and Solving an Equation • Total number = # of pics taken Number of days

  47. Writing and Solving an Equation • Total number = # of pics taken Number of days e= 25 7

  48. Writing and Solving an Equation • Total number = # of pics taken Number of days 7 e= 25 7 7

  49. Writing and Solving an Equation • Total number = # of pics taken Number of days 7 e= 25 7 7 e = 175

  50. Check e= 25 7 175 =? 25 7

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