Create Presentation
Download Presentation

Download Presentation

Solving One-Step Equations Gangnam Style Video

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

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**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 First write the original equation. m + 12 = 7**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**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**Check your solution.**• m + 12 = 7**Check your solution.**• m + 12 = 7 -5 + 12 =? 7 Substitute the solution for the variable**Check your solution.**• m + 12 = 7 -5 + 12 =? 7 7 = 7 Simplify**Check your solution.**• m + 12 = 7 -5 + 12 =? 7 7 = 7 YES! SOLUTION CONFIRMED!**Solving an equation using addition**• Solve -2 = x - 9**Solving an equation using addition**• Solve -2 = x - 9 First write the original equation.**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?**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**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**Check your solution.**• -2 = x - 9 -2 =? 7 – 9 -2 = -2 YES! SOLUTION CONFIRMED!**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?**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**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**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**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**Check your solution**• d = 198 • d – 122 = 76 198 – 122 =? 76 76 = 76 • YES! • Louisville is 198 miles from the start of your trip.**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.**Shopping Spree**• Money + Money = Money left spent started Let m be the money I spent.**Shopping Spree**• Money + Money = Money left spent started Let m be the money I spent. 37 + m = 85**Shopping Spree**• Money + Money = Money left spent started Let m be the money I spent. 37 + m = 85 -37 - 37**Shopping Spree**• Money + Money = Money left spent started Let m be the money I spent. 37 + m = 85 -37 - 37 m = 48**Check your Solution**• 37 + m = 85 • 37 + 48 =? 85 85 = 85 YES!**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?**Bike Race**• Total = Distance + Distance distance traveled left d = distance traveled**Bike Race**50 = d + 21 - 21 - 21 29 = d**Check**• 50 = d + 21 50 =? 29 + 21 50 = 50 YES!**Equations-Multiplying & Dividing**Gangnam Style Video**Solving an Equation Using Division**• Solve 9x = -108**Solving an Equation Using Division**• Solve 9x = -108 • Inverse Operation?**Solving an Equation Using Division**• Solve 9x = -108 • Inverse Operation? Divide by 9**Solving an Equation Using Division**• Solve 9x = -108 • Inverse Operation? Divide by 9 9x = -108 9 9**Solving an Equation Using Division**• Solve 9x = -108 • Inverse Operation? Divide by 9 9x = -108 9 9 x = -12**Check**9x = -108 9 (-12) =? -108 -108 = -108 YES!**Solving an Equation Using Multiplication**• k = 5 25**Solving an Equation Using Multiplication**• k = 5 25 Inverse Operation?**Solving an Equation Using Multiplication**• k = 5 25 25 k = 5 25 25**Solving an Equation Using Multiplication**• k = 5 25 25 k = 5 25 25 k = 125**Check**• k = 5 25 125 =? 5 25 5 = 5 YES!**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.**Writing and Solving an Equation**• Total number = # of pics taken Number of days**Writing and Solving an Equation**• Total number = # of pics taken Number of days e= 25 7**Writing and Solving an Equation**• Total number = # of pics taken Number of days 7 e= 25 7 7**Writing and Solving an Equation**• Total number = # of pics taken Number of days 7 e= 25 7 7 e = 175**Check**e= 25 7 175 =? 25 7