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POD: Using the table determine if the operation

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Presentation on theme: "POD: Using the table determine if the operation"— Presentation transcript:

1 POD: Using the table determine if the operation
Aim: How can we use the distributive property to simplify algebraic expressions? Think back to the definition of Natural Numbers. POD: Using the table determine if the operation is closed for the set of natural numbers {1,2,3,4}? Is the operation commutative? Show proof

2 Distributive Property Terms Constant Coefficient Like Terms
Aim: How can we use the distributive property to simplify algebraic expressions? Vocabulary: Distributive Property Terms Constant Coefficient Like Terms

3 Aim: How can we use the distributive property to simplify algebraic expressions?

4 Aim: How can we use the distributive property to simplify algebraic expressions?

5 Aim: How can we use the distributive property to simplify algebraic expressions?

6 Aim: How can we use the distributive property to simplify algebraic expressions?
Practice

7 Aim: How can we use the distributive property to simplify algebraic expressions?

8 Aim: How can we use the distributive property to simplify algebraic expressions?

9 Aim: How can we use the distributive property to simplify algebraic expressions?

10 Aim: How can we use the distributive property to simplify algebraic expressions?

11 Aim: How can we use the distributive property to simplify algebraic expressions?

12 Aim: How can we use the distributive property to simplify algebraic expressions?

13 Aim: How can we use the distributive property to simplify algebraic expressions?

14 Aim: How can we use the distributive property to simplify algebraic expressions?

15 Aim: How can we use the distributive property to simplify algebraic expressions?

16 Aim: How can we use the distributive property to simplify algebraic expressions?

17 Aim: How can we use the distributive property to simplify algebraic expressions?

18 They CANNOT be combined
Aim: How can we use the distributive property to simplify algebraic expressions? 2x and 6c are unlike terms (different variables or different exponents) They CANNOT be combined

19 Aim: How can we use the distributive property to simplify algebraic expressions?
Rule #1: Add two #’s with the same sign · Add the #s without the signs · Keep the sign · Ex 1: +5+6= · Ex 2: =

20 Aim: How can we use the distributive property to simplify algebraic expressions?
Rule #2: Add two #’s that have different signs · Subtract the #s without the signs · Keep the sign of the # with the largest absolute value (highest # without the sign) · Ex 3: -5+6= · Ex 4: -6+5= · Ex 5: 11-21= · Ex 6: =

21 Aim: How can we use the distributive property to simplify algebraic expressions?

22 Aim: How can we use the distributive property to simplify algebraic expressions?
Simplify each expression 1. 2. 3.

23 Aim: How can we use the distributive property to simplify algebraic expressions?

24 Aim: How can we use the distributive property to simplify algebraic expressions?

25 Aim: How can we use the distributive property to simplify algebraic expressions?
Make sure all questions are completed. Will be checked during HW collection on WED 1) Why is it appropriate that the word distribute is found in the name of the Distributive Law?. 2) Explain the circumstances when the distributive property is used. Illustrate you answer with an example. 3) Explain the error: -4 (x+3) = -4x + 12.

26 Aim: How can we use the distributive property to simplify algebraic expressions?
pg 82 #'s 16, 27, 44, pg 84 # 88 pg 90 # 52


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