1. Several Transformations
Chapter 2
Section 2.2

2. Objective
Students will solve equations using more than one transformation

3. concept
We use inverse operations to solve problems. Addition and subtraction are inverse operations. Multiplication and division are inverse operations. One operation “undoes” the other operation

4. concept For all real numbers, a and b,
(a + b) – b = a and (a – b) + b = a
For all real numbers a & all nonzero numbers b,
(ab) ÷ b = a and (a ÷ b) * b = a

5. concept Steps to solving several transformation problems
1. Distributive Property
2. Combine Like Terms
3. Opposite of Adding or Subtracting
4. Opposite of Multiplying or Dividing

6. Example
5x – 9 = 71

7. example
1/2x + 3 = 9

8. example
x – 5 = 2 9

9. example
32 = 7x + 9x

10. example
4(x + 8) – 7 = 15

11. questions

12. Assignment
Worksheet