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2.4 – Solving Equations with the Variable on Each Side

2.4 – Solving Equations with the Variable on Each Side. Ex. 1 4( k +3)+2 = 4.5( k +1). REMEMBER : REVERSE Order of Operations!. Ex. 1 4( k +3) +2 = 4.5( k +1) 4( k )+4(3) +2 = 4.5( k )+4.5(1). REMEMBER : REVERSE Order of Operations!. Ex. 1 4( k +3) +2 = 4.5( k +1)

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2.4 – Solving Equations with the Variable on Each Side

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  1. 2.4 – Solving Equations with the Variable on Each Side

  2. Ex. 1 4(k+3)+2 = 4.5(k+1) REMEMBER: REVERSE Order of Operations!

  3. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) REMEMBER: REVERSE Order of Operations!

  4. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 REMEMBER: REVERSE Order of Operations!

  5. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 REMEMBER: REVERSE Order of Operations!

  6. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k REMEMBER: REVERSE Order of Operations!

  7. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k REMEMBER: REVERSE Order of Operations!

  8. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 REMEMBER: REVERSE Order of Operations!

  9. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14 REMEMBER: REVERSE Order of Operations!

  10. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14 REMEMBER: REVERSE Order of Operations!

  11. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14 -0.5k = -9.5 REMEMBER: REVERSE Order of Operations!

  12. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14 -0.5k = -9.5 -0.5 -0.5 REMEMBER: REVERSE Order of Operations!

  13. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14 -0.5k = -9.5 -0.5 -0.5 REMEMBER: REVERSE Order of Operations!

  14. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14 -0.5k = -9.5 -0.5 -0.5 k = 19 REMEMBER: REVERSE Order of Operations!

  15. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14 -0.5k = -9.5 -0.5 -0.5 k = 19 Ex. 2 2(b – 3) = 3(b – 1) REMEMBER: REVERSE Order of Operations!

  16. Ex. 1 4(k+3)+2 = 4.5(k+1) 4(k)+4(3)+2 = 4.5(k)+4.5(1) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14 -0.5k = -9.5 -0.5 -0.5 k = 19 Ex. 2 2(b – 3) = 3(b – 1) 2(b)–2(3) = 3(b)–3(1) 2b – 6 = 3b – 3 2b – 6 = 3b – 3 -3b -3b -b – 6 = -3 + 6 +6 -b= 3 -1 -1 b = -3 REMEMBER: REVERSE Order of Operations!

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