Factoring and Expanding Expressions

This video tutorial covers Math 7 Unit 6 Lesson 19, focusing on expanding and factoring expressions. It begins with an introduction to the concepts, followed by examples of factoring and expanding using the distributive property. Advanced techniques for factoring are demonstrated, and the video concludes with solving equations by completing equivalent expressions and using distribution and division methods.

What is the main purpose of expanding an expression?

• To simplify the expression

• To make the expression longer

• To find the common factors

• To solve the equation

Which property is used to expand expressions?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

When factoring an expression, what are you looking for?

• The sum of the terms

• The difference of the terms

• The product of the terms

• Common factors

How do you handle a negative sign when expanding an expression?

• Ignore it

• Add it to the result

• Distribute it through the expression

• Subtract it from the result

What is the first step in factoring an expression?

• Add all terms

• Divide all terms

• Identify common factors

• Multiply all terms

Which of the following is a common factor of 4, 8, and 12?

• 5

• 3

• 7

• 2

What should you do after factoring out the greatest common factor?

• Add the terms back together

• Multiply the terms

• Divide the terms

• Simplify the remaining expression

In the expression 14x + 21y, what is the greatest common factor?

• 2

• 3

• 7

• 14

What is the result of distributing -2 in the equation -2d = 2?

• d = -1

• d = 1

• d = -2

• d = 2

What is the final step in solving an equation after distributing?

• Subtract all terms

• Multiply or divide to isolate the variable

• Add all terms

• Factor the expression