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Chapter 7: Section 2: Solving Multi-Step Equations January 6 th , 2009
Warm Up: Review, Solve. ,[object Object],[object Object],[object Object],[object Object]
Things to Remember for Solving Multi-Step Equations! ,[object Object],[object Object],[object Object],[object Object]
Word Problem ,[object Object],Jake + Suki together have 14 Let m = number of models Jake has. Then, 2m – 4 = the number Suki has. m + (2m – 4) = 14  m + (2m – 4) = 14  3m – 4 = 14  3m – 4  + 4  = 14  + 4 3m  / 3  = 18  / 3 m = 6
Word Problem m + (2m – 4) = 14  3m  – 4 = 14  3m – 4  + 4  = 14  + 4 3m  / 3  = 18  / 3 m = 6 Combine Like Terms   Addition Prop. of Equality Division Prop. of Equality Solution. Let m = number of models Jake has. Then, 2m – 4 = the number Suki has. 6 = Jake’s Planes 2(6) – 4 = Suki’s Planes 8 = Suki’s Planes
Try This One ,[object Object],p + p – 13 = 171 2p – 13 = 171 EQUATION Combine Like Terms 2p – 13  + 13  = 171  + 13 Add. Prop. of Equ. p = 92 Div. Prop. of Equ. 2p  / 2  = 184  / 2 Solution, 92 points scored
Dealing with Consecutive Numbers: 1, 2, 3, 4, 5, 6, 7… ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Number Sense ,[object Object],Three Consecutive Numbers is 96 N = the least integer N + 1 = the second integer N + 2 = the third integer N  +   N + 1  +  N + 2  = 96  3N + 3 = 96  N = 31 ,  N + 1 = 32 ,  N + 2 = 33   31  +  32  +  33  = 96
Number Sense: Try These ,[object Object],[object Object],88, 89, 90, and 91 32, and 34
Using the Distributive Property ,[object Object],[object Object],2(5x – 3) = 14 10x – 6  = 14 10x – 6  + 6  = 14  + 6 10x   =  20 10  10 x  = 2    Equation    Distribute    Add. Prop. of Equ.    Div. Prop. of Equ.    Solution
Distributive Property ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Try These: Some times you get Fractions or Decimals. ,[object Object],[object Object]
Assignment #53 ,[object Object]

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7.2 Solving Multi Step Equations

  • 1. Chapter 7: Section 2: Solving Multi-Step Equations January 6 th , 2009
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  • 5. Word Problem m + (2m – 4) = 14 3m – 4 = 14 3m – 4 + 4 = 14 + 4 3m / 3 = 18 / 3 m = 6 Combine Like Terms Addition Prop. of Equality Division Prop. of Equality Solution. Let m = number of models Jake has. Then, 2m – 4 = the number Suki has. 6 = Jake’s Planes 2(6) – 4 = Suki’s Planes 8 = Suki’s Planes
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