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Solving Multi-Step Equations

Solving Multi-Step Equations. 7.2. Useful Steps to Solve a Multi-Step Equations. Distribute (if necessary) Combine like terms (if one same side of equation) Undo addition or subtraction Undo multiplication or division. 2x + 7 + x =16. 3x+7 =16 3x =9 X=3. -3(m-6)=4. -3m +18 =4 -3m=-14

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Solving Multi-Step Equations

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  1. Solving Multi-Step Equations 7.2

  2. Useful Steps to Solve a Multi-Step Equations • Distribute (if necessary) • Combine like terms (if one same side of equation) • Undo addition or subtraction • Undo multiplication or division

  3. 2x + 7 + x =16 3x+7 =16 3x =9 X=3

  4. -3(m-6)=4 -3m +18 =4 -3m=-14 M =14/3

  5. 3(x+12)-x=8 3x+36 –x =8 2x +36 =8 2x=-28 X=-14

  6. 2(x+1) +x=7 2x+2 +x =7 3x +2 =7 3x =5 X= 5/3

  7. Consecutive Numbers • Counting by ones from any integer • Examples: 120,121,122,… -5,-4,-3,… • Formula: n, n+1, n+2, n+3, n+4….

  8. Consecutive Even Integers • Counting by evens from any integer • Examples: 2,4,6,8,… 122,124,126,128… • Formula: n, n+2, n+4, n+6, n+8, n+10

  9. Consecutive Odd Integers • Counting by odds from any integer • Examples: …,-9,-7,-5,-3 83,85,87,89,… • Formula: n, n+2, n+4, n+6, n+8, n+10

  10. Find four consecutive integers with a sum of 358 n + (n+1)+ (n+2)+ (n+3) = 358 4n+6 =358 4n =352 n =88 n+1=89 n+2=90 n+3=91 Answer: 88,89,90,91

  11. Find two consecutive even integers with a sum of 66. n + (n+2) =66 2n+2 =66 2n=64 n=32 n+2=34 Answer:32, 34

  12. Homework • Page 343 (11-29) all

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