Algebraic Expressions and Properties

The video tutorial covers lesson 10.3 from the sixth grade Go Math textbook, focusing on using properties of operations to solve independent practice problems. It includes using algebra tiles to demonstrate equivalence, simplifying expressions, and applying these concepts to real-world scenarios like calculating the total weight of Olympic medals. The lesson also explores writing and simplifying expressions for perimeters and understanding equivalent expressions.

Which property allows you to change the order of factors in a multiplication expression?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

What is the equivalent expression for X + 13 using the commutative property?

• X/13

• 13X

• 13 + X

• X - 13

How many sets of 2x + 1 are needed to prove the equivalence of 4 + 8X using algebra tiles?

• 3 sets

• 2 sets

• 4 sets

• 5 sets

What is the simplified form of 7x^4 - 5x^4?

• x^4

• 12x^4

• 2x^4

• 0

If you have 6B + 7B - 10, what is the simplified expression?

• 6B - 7B

• B - 10

• 13B - 10

• 13B + 10

Ted worked 8 hours at the concession stand and three times as many hours at the ticket counter. How many total hours did he work?

• 24 hours

• 32 hours

• 8 hours

• 40 hours

What is the expression for the total weight of gold medals if the weights are multiplied by 46, 38, and 29?

• 113B

• 113G

• 113S

• 113

Which expression cannot be simplified further?

• 8B + 8

• 8B - 7

• 8B + 8B

• 8B + 7

What is the simplified form of 8 times the sum of 2y + 4?

• 8y + 8

• 16y + 32

• 8y + 32

• 16y + 8

If a third row of tiles is added to a model with 6x + 4, what is the new expression?

• 18x + 12

• 6x + 4

• 9x + 6

• 12x + 8