Lesson 8 Factor Linear Expressions Unit 3A Expressions Lesson 8 Factor Linear Expressions

Lesson 8: Factor Linear Expressions Objective: Swbat factor linear expressions. Do Now: Worksheet

Lesson 8: Factor Linear Expressions Definitions Monomial – is a number, a variable, or a product of a number and one or more variables. Factor – means to write the expression as a product of its factors. Factored Form – when a linear expression is expressed as the product of its factors.

Lesson 8: Factor Linear Expressions Real-World Example A rectangular yard is being separated into four equal size sections for different items at a yard sale. The area of the yard is (8x + 12) square meters. 1.) How can you find the area of each section of the yard sale? 2.) What is the area of each section? 3.) Use the Distributive Property to write the area in terms of length x width. Area=8x + 12

Lesson 8: Factor Linear Expressions Real-World Example A rectangular yard is being separated into four equal size sections for different items at a yard sale. The area of the yard is (8x + 12) square meters. 1.) How can you find the area of each section of the yard sale? 2.) What is the area of each section? 3.) Use the Distributive Property to write the area in terms of length x width. 2x +3________________ 2x +3________________ 2x + 3________________ 2x + 3________________

Lesson 8: Factor Linear Expressions Monomials Not Monomials 25 x + 4 x 40x + 1 40x 2x - 5 2xy x + y

Lesson 8: Factor Linear Expressions The greatest common factor (GCF) of two monomials is the greatest monomial that is a factor of both. Methods for finding GCF: list all factors for each (circle the greatest common ) Prime factorization Ladder method Cake method Simplify fraction method

Lesson 8: Factor Linear Expressions Find the GCF of each pair of monomials 1.) 4, 12 2.) 12, 28x 3.) 5x, 15x 4.) 12xy, 36xy

Lesson 8: Factor Linear Expressions 5.) 25x, 15xy 6.) 42mn, 14mn

Lesson 8: Factor Linear Expressions You can use Distributive Property and the work backward strategy to express a linear expression as a product of its factors. Example: 8x + 4y the GCF is 4 4(2x) + 4(y) factor out the 4 or divide by 4 4(2x + y) Distributive Property

Lesson 8: Factor Linear Expressions Factor each linear expression. 1.) 3x + 9 2.) 4x - 28

Lesson 8: Factor Linear Expressions 3.) 12x + 7y 4.) 3x + 33y 5.) 4x + 35

Lesson 8: Factor Linear Expressions Real-World Problem The drawing of the garden has a total area of (15x + 18) square feet. Find possible dimensions (length and width) of the garden.

Classwork Guided Practice #1 – 8 Independent Practice #1 – 10 Problem Solving #1 -

Closure Question: What must you find to factor a linear expression? Exit Ticket Homework: Practice

Exit Ticket Factor. 54x + 18

Homework