Factoring Expressions with the Cake Method

The video tutorial introduces the concept of factoring expressions, contrasting it with simplifying expressions. It explains that factoring is the process of reintroducing parentheses into expressions while maintaining equivalence. The tutorial uses the cake method to demonstrate factoring, providing multiple examples and approaches to ensure understanding. The video emphasizes the importance of checking work by redistributing to verify the original expression is obtained.

What is the opposite of simplifying an expression?

• Combining like terms

• Factoring an expression

• Adding fractions

• Multiplying numbers

When factoring an expression, what should the final answer include?

• Only variables

• No parentheses

• Parentheses

• Only numbers

What is the first step in the cake method for factoring expressions?

• Combine like terms

• Divide by the greatest common factor

• Add the numbers

• Multiply the variables

In the cake method, what do you do after finding the GCF?

• Add the numbers

• Put the GCF inside the parentheses

• Multiply the outside numbers

• Divide the expression by the GCF

What is the GCF of 8 and 56?

• 1

• 2

• 8

• 4

If you start with 2 as the GCF for 8 and 56, what is the next step?

• Subtract 2 from the expression

• Add 2 to the expression

• Multiply by 2

• Divide by 4

Tags

CCSS.7.EE.A.1

What is the GCF of 9 and 54?

• 1

• 9

• 6

• 3

What do you do if the numbers in the expression have nothing in common?

• Divide by the smallest number

• Add the numbers

• Stop and multiply the outside numbers

• Continue factoring

Tags

CCSS.7.EE.A.1

What is the GCF of 10 and 15?

• 3

• 5

• 2

• 1

What is the final step in checking your factored expression?

• Divide by the GCF

• Add the numbers

• Combine like terms

• Use the distributive property

Tags

CCSS.HSA.APR.D.6