Factoring Expressions and GCF

The video tutorial covers the use of the greatest common factor (GCF) and the distributive property to write equivalent expressions in factored form. It provides three examples: factoring 2x + 8, 13aB + 15aC, and 20g + 24h. The tutorial emphasizes identifying common factors and using the distributive property to simplify expressions.

What is the purpose of using the greatest common factor and distributive property in expressions?

• To simplify fractions

• To solve equations

• To write equivalent expressions in factored form

• To find the value of variables

In the expression 2x + 8, what is the greatest common factor?

• x

• 8

• 4

• 2

How can the expression 2x + 8 be rewritten using the greatest common factor?

• 4(x + 2)

• x(2 + 8)

• 8(x + 1)

• 2(x + 4)

What does the model of 2x + 8 demonstrate?

• The solution to the equation

• The distribution of terms

• The concept of factoring

• The value of x

In the expression 13aB + 15aC, what are the common factors?

• a and B

• 13 and 15

• a and C

• B and C

How is the expression 13aB + 15aC rewritten using common factors?

• aB(13 + 15)

• a(13B + 15C)

• aC(13B + 15)

• aB(13 + 15C)

What is the greatest common factor of 20g and 24h?

• 4

• 6

• 2

• 5

How can the expression 20g + 24h be rewritten using the greatest common factor?

• 4(6g + 5h)

• 6(4g + 5h)

• 5(4g + 6h)

• 4(5g + 6h)

What property is used within the distributive property to make it work?

• Inverse property

• Commutative property

• Identity property

• Associative property

What is the result of factoring 20g + 24h using the greatest common factor?

• 4(5g + 6h)

• 5g + 6h

• 4g + 6h

• 20g + 24h