1. OTCQ 1-6 Evaluate the expression: 5+ 3(2 3 + 5(-1)) =

2. Aim 1-6 How do we define the commutative and associative properties? NY AN 1 Homework read 1-6 and do problems 52- 60 on page 36

3. Objective The student will be able to: recognize and use the commutative and associative properties and the properties of equality. NY Performance Indicator AN 1

4. Commutative Property Commutative property says that order does not make any difference when only adding/multiplying. a + b = b + aa b = b a Examples 4 + 5 = 5 + 4 2 3 = 3 2 Commutative property does not work for subtraction or division!

5. Associative Property Associative property says that grouping does not make any difference when only adding/multiplying. (a + b) + c = a + (b + c) (ab) c = a (bc) Examples (1 + 2) + 3 = 1 + (2 + 3) (2 3) 4 = 2 (3 4) The associative property does not work for subtraction or division.

6. Name the property 1) 5a + (6 + 2a) = 5a + (2a + 6) commutative (switching order) 2) 5a + (2a + 6) = (5a + 2a) + 6 associative (switching groups) 3) 2(3 + a) = 6 + 2a distributive

7. Which property would justify rewriting the following expression without parentheses? 3(2x + 5y) 1.Associative property of multiplication 2.Distributive property 3.Addition property of zero 4.Commutative property of multiplication

8. Which property would justify the following statement? 8x + 4 = 4 + 8x 1.Associative property of addition 2.Distributive property 3.Addition property of zero 4.Commutative property of addition

9. Which property would justify the following statement? 8 + (2 + 6) = (8 + 2) + 6 1.Associative property of addition 2.Distributive property 3.Addition property of zero 4.Commutative property of addition

10. Regents Questions

14. Regents Questions (time permitting start homework)

15. Regents Questions