3.5-Factoring expressions

​WARMUP

Math Response

#1

Type answer here

Correct Answer: 4

Deg^°

Rad

Math Response

#2

Type answer here

Correct Answer: 5

Deg^°

Rad

Math Response

#3

Type answer here

Correct Answer: 4

Deg^°

Rad

Math Response

#4

Type answer here

Correct Answer: 3x

Deg^°

Rad

Math Response

#5

Type answer here

Correct Answer: 3

Deg^°

Rad

Open Ended

​

In previous lessons, we used the distributive property to write 3(5x − 4) as 15x − 12.






Today, we will use the distributive property to go in the opposite direction. This is called FACTORING

Distributive Property & Factoring in Algebra

Math Response

Type answer here

Correct Answer: 3\left(5x-4\right)

Deg^°

Rad

Math Response

A. What expression does this tabular model represent?

Type answer here

Correct Answer: 15x-12

Deg^°

Rad

​

​

​

​

​Example

​GCF

​30 divided by 6

​-6x divided by 6

Math Response

Use the tabular model to represent the equivalent expression to the one in part A.

Type answer here

Correct Answer: 3\left(5x-4\right)

Deg^°

Rad

Draw

Use the distributive property and put the products in the boxes below.

Draw

Factor each of the monomials by 2 and put the other factor in the boxes above.

Draw

Find the greatest common factor to factor this expression. Put the GCF in the box on the left. Put the factors in the top boxes.

Labeling

Fill out the table with the correct factored form or equivalent expression.

Drag labels to their correct position on the image

-6y+2z

4a-44

-2x+3y

5(2a-5b)

10(2x-y)

-8w+20z

​Write your factored expression in the blank

Math Response

FACTOR

Type answer here

Correct Answer: 5\left(3x-4y+10\right)

Deg^°

Rad

Math Response

FACTOR

Type answer here

Correct Answer: \frac{1}{2}\left(x+y-2\right)

Deg^°

Rad

Math Response

FACTOR

Type answer here

Correct Answer: 7x\left(y-3\right)

Deg^°

Rad

Math Response

FACTOR

Type answer here

Correct Answer: 14x\left(y-3\right)

Deg^°

Rad

Math Response

FACTOR

Type answer here

Correct Answer: 2.4\left(x-2y+10\right)

Deg^°

Rad

Open Ended

Open Ended

CLOSING:

Give an example of 2 equivalent expression and explain how you know they are equivalent.