2. ALGEBRA TILES SOLVING EQUATIONS

3. Replace the equation with tiles: Negative Positive -X X 1

4. 3X + 2 = 11 ADD –2 TO EACH SIDE 3X + 2 + (-2) = 11 = (-2) ZERO PAIRS

5. 3X = 9 Read each line: x = 3

6. Check your answer: 3x + 2 = 11 3 (3) + 2 = 11 9 + 2 = 11 11=11

7. 4x – 3 = 2x + 1 4X –3 –2X = 2X +1 –2X WITH TILES: Make zero pairs Subtract 2x from each side

8. 2x – 3 = 1 Add 3 to each side: 2X –3 + 3 = 1 + 3 X = 2 Zero pairs

9. Check: 4x – 3 = 2x + 1 4(2) – 3 = 2(2) + 1 8 – 3 = 4 + 1 5 = 5

10. X – 3 = 4x – 3 X – 3 - X = 4X – 3 - X Add -x to each side Make zero pairs

11. -3 = 3x –3 -3 + 3 = 3X – 3 + 3 Add 3 to each side Zero pairs

12. 0 = 3x ? X = 0 Check: x-3 = 4x-3 (0) – 3 = 4(0) – 3 -3 = -3

13. Try these: 6x + 3 = -3 5 – x = 1 3 –2(x + 1) =5 1 – 5x = 2x -6