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1.2 - Products Commutative Properties Addition: Multiplication:

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Presentation on theme: "1.2 - Products Commutative Properties Addition: Multiplication:"— Presentation transcript:

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2 1.2 - Products Commutative Properties Addition: Multiplication:

3 1.2 - Products Associative Properties Addition: Multiplication:

4 1.2 - Products Distributive Property of Multiplication

5 Product Rule for Exponents
1.2 - Products Product Rule for Exponents If m and n are positive integers and a is a real number, then Examples:

6 Power Rule for Exponents
1.2 - Products Power Rule for Exponents If m and n are positive integers and a is a real number, then Examples:

7 1.2 - Products Power of a Product Rule Examples:
If m, n, and r are positive integers and a and b are real numbers, then Examples:

8 1.2 - Products Multiplying Monomials by Monomials Examples:

9 1.2 - Products Multiplying Monomials by Polynomials Examples:

10 Multiplying Two Binomials using FOIL
1.2 - Products Multiplying Two Binomials using FOIL First terms Outer terms Inner terms Last terms

11 Multiplying Two Binomials using FOIL
1.2 - Products Multiplying Two Binomials using FOIL First terms Outer terms Inner terms Last terms

12 1.2 - Products Squaring Binomials

13 Multiplying Two Polynomials
1.2 - Products Multiplying Two Polynomials Examples:

14 1.3 – Sums and Differences Algebraic Expression - A combination of operations on variables and numbers. Evaluate the following:

15 1.3 – Sums and Differences Evaluate the following:

16 1.3 – Sums and Differences Simplify each polynomial.

17 1.3 – Sums and Differences Simplify each polynomial.

18 A Number as a Product of Prime Numbers
1.4 - Factorizations A Number as a Product of Prime Numbers Factor Trees

19 A Number as a Product of Prime Numbers
1.4 - Factorizations A Number as a Product of Prime Numbers Factor Trees

20 A Number as a Product of Prime Numbers
1.4 - Factorizations A Number as a Product of Prime Numbers

21 1.4 - Factorizations Factoring by Grouping 4x2 + 2x + 10x + 5

22 1.4 - Factorizations Factoring by Grouping 2x2 - 3x - 8x + 12

23 1.4 - Factorizations Factoring by Grouping 35x2 - 10x + 14x - 4

24 1.4 - Factorizations Factoring Trinomials Factors of 50 are: 1, 50
2, 25 5,10

25 1.4 - Factorizations Factoring Trinomials Factors of 36 are: 1, 36
2, 18 3, 12 4, 9 6, 6

26 1.4 - Factorizations Factoring Trinomials Factors of 9 are: 1, 9 3, 3

27 1.4 - Factorizations Factoring Trinomials Product of 2 and 12: 24
Factors of 24 are: 1, 24 2, 12 3, 8 4, 6 Factors of 24 that combine to 11: 3, 8 2x2 - 3x - 8x + 12

28 1.4 - Factorizations Factoring Trinomials Product of 12 and 3: 36
Factors of 36 are: 1, 36 2, 18 3, 12 4, 9 6, 6 Factors of 36 that combine to 16: 2, 18 12a2 + 2ab - 18ab - 3b2

29 The Difference of Two Squares
1.4 - Factorizations The Difference of Two Squares Not the difference

30 The Difference of Two Squares
1.4 - Factorizations The Difference of Two Squares

31 The Sum and Difference of Two Cubes
1.4 - Factorizations The Sum and Difference of Two Cubes

32 The Sum and Difference of Two Cubes
1.4 - Factorizations The Sum and Difference of Two Cubes

33 1.5 – Quotients What is the Rule? Zero Exponent

34 If a is a real number other than 0 and n is an integer, then
1.5 – Quotients Problem: If a is a real number other than 0 and n is an integer, then

35 1.5 – Quotients Examples:

36 If a is a real number other than 0 and n is an integer, then
1.5 – Quotients If a is a real number other than 0 and n is an integer, then Examples:

37 1.5 – Quotients Examples: = 1 𝑦 11

38 1.5 – Quotients Practice Problems = 1 𝑦 30

39 1.5 – Quotients Practice Problems


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