Understanding Algebra Tiles Expressions

The video tutorial explains the distributive property using algebra tiles. It starts with the expression 4 times the quantity of X plus 2, demonstrating how to multiply using algebra tiles. The expression is rewritten as 4X plus 8. Another example with 6X plus 2 is explored, showing how to split the expression into equal groups, resulting in 2 times the quantity of 3X plus 1.

What does the expression 4 times the quantity of X plus 2 represent in terms of algebra tiles?

• 4X plus 2

• 2 groups of X plus 4

• 4 groups of X plus 2

• X plus 8

How many X tiles are there when you multiply X plus 2 by 4 using algebra tiles?

• 2

• 4

• 6

• 8

What is the new expression when you have four X's and eight ones?

• 8X plus 4

• 4X plus 8

• 2X plus 8

• 4X plus 2

In the new example, what does the expression 6X plus 2 mean in terms of algebra tiles?

• 6X plus 4

• 3 groups of 2X plus 1

• 2 groups of 3X plus 1

• 6 groups of X plus 2

How can you split the expression 6X plus 2 into equal groups using algebra tiles?

• 3 groups of 2X plus 1

• 2 groups of 3X plus 1

• 6 groups of X plus 2

• 1 group of 6X plus 2

What is the new expression formed by two groups of 3X plus 1?

• 6X plus 2

• 3X plus 2

• 2 times the quantity of 3X plus 1

• 3 times the quantity of 2X plus 1