1.2 - Products Commutative Properties Addition: Multiplication:

1.2 - Products Associative Properties Addition: Multiplication:

1.2 - Products Distributive Property of Multiplication

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:

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:

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:

1.2 - Products Multiplying Monomials by Monomials Examples:

1.2 - Products Multiplying Monomials by Polynomials Examples:

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

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

1.2 - Products Squaring Binomials

Multiplying Two Polynomials 1.2 - Products Multiplying Two Polynomials Examples:

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

1.3 – Sums and Differences Evaluate the following:

1.3 – Sums and Differences Simplify each polynomial.

1.3 – Sums and Differences Simplify each polynomial.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

1.5 – Quotients What is the Rule? Zero Exponent

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

1.5 – Quotients Examples:

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:

1.5 – Quotients Examples: = 1 𝑦 11

1.5 – Quotients Practice Problems = 1 𝑦 30

1.5 – Quotients Practice Problems