1. 1.5 Balancing Equations

2. Review
Fill in the following tables m
6m - 3 5 10 15 20 x 4x 2 16 24 8

3. Problems
Robin’s hiking club charges a flat rate of $10 to join. The club also charges $2 for each hike. How can you make a table of values to show the cost of hiking with Robin’s club? 
A rock climbing club charges an annual fee of $100. They also charge $5 an hour for each hour of climbing. Make a table of values to show the cost for 15 to 20 hours of climbing.

4. Equations
An equation is a math sentence that has an equal sign and both sides are the same
EX: 3 – 1 = 2
2a = 16

5. Commutative Property
Commutative Property: changing the order of the problem doesn’t change the answer
EX: = 3 + 2
Addition and multiplication are commutative, subtraction and division are not.

6. Example Which of these shows the commutative property?
A) 3 x 6 = 3 x 6
B) 3 x 6 = 6 x 3
C) 3 x 1 = 1
D) 6 ÷ 3 = 3 ÷ 6

7. Solving Equations How to solve an equation:
Work out what to remove to get the variable alone
Remove it by doing the opposite
Do the same thing to the other side
Important: Always remember to preserve equality, whatever you do to one side, you must do to the other!

8. Example We want to remove the – 2
Do the opposite (Opposite of – 2 is + 2)
Do the same thing to the other side

9. Keep it Balanced Why do we add 2 to each side? To keep the balance
In Balance
Out of balance
In balance again