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

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

3. 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)

4. 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) 4k + 12 + 2 = 4.5k + 4.5

5. 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) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5

6. 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) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k

7. 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) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k

8. 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) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5

9. 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) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14

10. 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) 4k + 12 + 2 = 4.5k + 4.5 4k + 14 = 4.5k + 4.5 -4.5k -4.5k -0.5k + 14 = 4.5 - 14 - 14

11. 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) 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

12. 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) 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

13. 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) 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

14. 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) 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

15. 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) 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)

16. 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) 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 -3b -3b -b – 6 = -3 + 6 +6 -b = 3 -1 -1 b = -3