BALANCING 2

AIM: To solve equations with variables on both sides

T T T T 5 T T 11

4T + 5 = 2T + 11

T T T 5 T 11

4T + 5 = 2T + 11

3T + 5 = T + 11

T T 5 11

4T + 5 = 2T + 11

3T + 5 = T + 11

2T + 5 = 11

T 2 +5 11

T 2 -5 11

T = 3

T T T T T 2 T T 17

5T + 2 = 2T + 17

T T T T 2 T 17

5T + 2 = 2T + 17

4T + 2 = T + 17

T T T 2 17

5T + 2 = 2T + 17

4T + 2 = T + 17

3T + 2 = 17

T 3 +2 17 T 3 -2 17

T = 5

T T T T T -10 T 18

5T - 10 = T + 18

T T T T -10 18

5T - 10 = T + 18

4T - 10 = 18

T 4 -10 18 T 4 +10 18

T = 7

T T T T T T -15 T T T 3

6T - 15 = 3T + 3

How many Ts can I take from each side?

T T T -15 3

6T - 15 = 3T + 3

How many Ts can I take from each side?

3T - 15 = 3

T 3 -15 3 T 3 +15 3

T = 6

Now try these. Draw a diagram and use it to help you solve these equations.

1. 4T + 1 = 2T + 9

2. 5T + 3 = 2T + 21

3. 3T + 8 = T + 12

4. 8T - 1 = 4T + 7

5. 6T - 11 = T + 14

6. 7T + 4 = 3T + 24

7. 5T - 6 = 3T + 1

T = 4

T = 6

T = 2

T = 2

T = 5

T = 5

T = 3.5