Expanding and Factoring Expressions: Part 1 Challenge

This video tutorial covers expanding and factoring expressions, focusing on positive numbers. It begins with an introduction to the concepts, followed by a practical example using a milkshake recipe to illustrate the distributive property. The video then introduces the rectangle method for expanding expressions, providing detailed examples and practice. The latter part of the video shifts to factoring, explaining the use of the greatest common factor (GCF) and offering examples to reinforce understanding.

What is the purpose of using the distributive property in expanding expressions?

• To change the variables

• To make an expression smaller

• To eliminate constants

• To make an expression bigger

If you need to triple a recipe that requires 4 scoops of ice cream and 1/4 cup of milk per serving, how much ice cream and milk will you need for three servings?

• 8 scoops of ice cream and 1/2 cup of milk

• 12 scoops of ice cream and 3/4 cup of milk

• 6 scoops of ice cream and 1/2 cup of milk

• 10 scoops of ice cream and 1 cup of milk

What does the number outside the parentheses indicate in the expression 3(4i + 1/4m)?

• The difference of the terms inside the parentheses

• The sum of the terms inside the parentheses

• The number of times to multiply each term inside the parentheses

• The number of terms inside the parentheses

In the rectangle method, what do the highlighted sections represent?

• The sum of the terms

• The difference of the terms

• The individual terms and the multiplier

• The product of the terms

When using the rectangle method, what operation is used to fill in the boxes?

• Division

• Multiplication

• Subtraction

• Addition

What is the greatest common factor (GCF) of 12x and 6?

• 4

• 6

• 3

• 2

If you factor out the GCF from 12x + 6, what is the resulting expression?

• 3(4x + 2)

• 6(2x + 1)

• 2(6x + 3)

• 12(x + 0.5)

What is the GCF of 24d, -8e, and 6?

• 2

• 6

• 8

• 4

After factoring out the GCF from 24d - 8e + 6, what is the expression inside the parentheses?

• 24d - 8e + 3

• 12d - 4e + 6

• 24d - 4e + 6

• 12d - 4e + 3

What is the main benefit of using the rectangle method for expanding and factoring expressions?

• It changes the constants

• It eliminates variables

• It helps visualize the multiplication process

• It simplifies the expressions