Transcript Document

How do you factor a linear
expression?
For example, how do you factor
4x + 8?
In this lesson you will learn how
to factor linear expressions with
rational coefficients by using the
distributive property.
Let’s
Review
Let’s
Review
Vocabulary:
Linear expression
Rational coefficient
Constant
2v + 30
Let’s
Review
Let’s
Review
Greatest Common Factor
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
GCF = 8
A Common
Let’s
Review Mistake
Using a common factor, but not the
Greatest Common Factor:
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
CoreReview
Lesson
Let’s
Factor 4x + 8
4x + 8
1
x
x
x
x+2
4
x
x
x
x
x
1
1
1
1
1
4(x + 2)
1
1
1
1
= 4(x) + 4(2)
1
1
= 4x + 8
1
1
1
1
1
CoreReview
Lesson
Let’s
Using the distributive property:
4x + 8
Factors of 4: 1, 2, 4
Factors of 8: 1, 2, 4, 8
4x = 4(x)
8 = 4(2)
4x + 8 = 4(x) + 4(2) = 4(x + 2)
CoreReview
Lesson
Let’s
Using the distributive property:
24x - 32
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
24x = 8(3x)
32 = 8(4)
24x - 32 = 8(3x) - 8(4) = 8(3x - 4)
In this lesson you have learned
how to factor linear expressions with
rational coefficients by using the
distributive property.
Guided
Practice
Let’s
Review
Factor: 12x - 18
Extension
Let’s
ReviewActivities
Factor: 2m + 19 + 6m - 7
Extension
Let’s
ReviewActivities
Use a diagram to show why
6y + 15 = 3(2y + 5).
Extension
Let’s
ReviewActivities
Factor: -3x - 18
Quick Quiz
Let’s
Review
1. Factor: 9y + 15
2. Factor: 24x - 60