# Solving One-Step Equations Gangnam Style Video - PowerPoint PPT Presentation Download Presentation Solving One-Step Equations Gangnam Style Video

Solving One-Step Equations Gangnam Style Video Download Presentation ## 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