1. The Foundation Copyright Scott Storla 2015

2. Wolfram Alpha Simplify Prime Factor the Polynomial Solve

3. Properties Copyright Scott Storla 2015

4. A property allows us to use a general idea in specific situations. For instance a property of fire is that it needs oxygen to burn. We use this property when we blow on a struggling campfire or extinguish a frying pan fire with a cover. Numbers and operations have properties too. Copyright Scott Storla 2015

6. ____________________________________ Copyright Scott Storla 2015 Where it’s appropriate use a property to justify the step. The commutative property of addition. ____________________________________ The distributive property. Added. ___________________________________ ____________________________________ The commutative property of addition. Wrote adding an opposite as subtraction. Wrote subtraction as adding an opposite. Simplify

7. The Foundation Copyright Scott Storla 2015

8. The Commutative properties are about order.

9. Copyright Scott Storla 2015 The Associative properties are about grouping.

10. Copyright Scott Storla 2015 Describe which property is being used to transform the upper expression to the lower expression. Don’t simplify the expression. The commutative property of addition. The associative property of addition. The commutative property of multiplication. The associative property of multiplication.

11. Copyright Scott Storla 2015 Describe which property is being used to transform the upper expression to the lower expression. Don’t simplify the expression. The commutative property of addition. The commutative property of multiplication. The associative property of addition. The associative property of multiplication.

12. Copyright Scott Storla 2015

13. The Distributive property of multiplication over addition

14. Copyright Scott Storla 2015 Using the distributive property to add or subtract natural numbers Simplify using the distributive property.

15. Copyright Scott Storla 2015 Use the distributive property to add or subtract like terms.

16. Copyright Scott Storla 2015 The Distributive property of multiplication over addition

17. Copyright Scott Storla 2015 Simplify using the distributive property

18. Copyright Scott Storla 2015 The Identity Properties

19. Copyright Scott Storla 2015 The Inverse properties

20. Copyright Scott Storla 2015 Describe which property is being used to transform the upper expression to the lower expression. Don’t simplify the expression. The additive inverse. The multiplicative identity. The multiplicative inverse. The multiplicative identity.

21. Copyright Scott Storla 2015 Describe which property is being used to transform the upper expression to the lower expression. Don’t simplify the expression. The additive inverse. (4x + –4x + 7) The additive identity. The multiplicative identity. The additive inverse. The additive identity. The additive inverse.

22. ____________________________________ Copyright Scott Storla 2015 Fill in the property which allows each step. The associative property of multiplication ____________________________________ The multiplicative inverse The multiplicative identity

23. ___________________________________ ____________________________________ Copyright Scott Storla 2015 Fill in the property which allows each step. The associative property of addition ____________________________________ The commutative property of addition The associative property of addition ____________________________________The additive inverse The additive identity

24. ____________________________________ Copyright Scott Storla 2015 Fill in the property which allows each step. The commutative property of addition ____________________________________ The distributive property Added ___________________________________ ____________________________________ The commutative property of addition Wrote adding an opposite as subtraction Wrote subtraction as adding an opposite

25. ____________________________________ Copyright Scott Storla 2015 Fill in the property which allows each step. Additive property of equality ____________________________________ Added on the right side Additive inverse ____________________________________ Additive identity Multiplicative property of equality ____________________________________ The associative property of multiplication ____________________________________ The multiplicative inverse ____________________________________ The multiplicative identity

26. ___________________________________ ____________________________________ Copyright Scott Storla 2015 Justifying the Product to a Power Property The definition of an exponent ____________________________________ The associative property of multiplication The commutative property of multiplication ____________________________________The associative property of multiplication The definition of an exponent

27. Properties Copyright Scott Storla 2015