Properties and Expressions in Algebra

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

Which property is used to rewrite the expression c × d as d × c?

• Commutative Property

• Identity Property

• Distributive Property

• Associative Property

What is the equivalent expression for 4 times the difference of 2x and 3 using the distributive property?

• 4 × 2x - 3

• 4 × (2x - 3)

• 4 × 2x - 4 × 3

• 4 + 2x - 3

How many sets of 2x + 1 are needed to prove the equivalence of 4 + 8x and 4 times the sum of 2x + 1?

• 5 sets

• 4 sets

• 3 sets

• 2 sets

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

• 12x^4

• 2x^4

• x^4

• 0

Which property is used to combine 6B + 7B into 13B?

• Identity Property

• Associative Property

• Distributive Property

• Commutative Property

How much did Ted earn if he worked 8 hours at the concession stand and three times as many hours at the ticket counter, earning $13 per hour?

• $104

• $52

• $156

• $208

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

• 71

• 113G

• 84

• 113

What is the simplified expression for the perimeter of a rectangle with sides 3x + 1 and 6?

• 12x + 2

• 9x + 2

• 6x + 14

• 3x + 6

Which expression cannot be simplified further?

• 8B + 7B

• 8 × (B + 7)

• 8 × B + 7

• 8B + 7

What is an equivalent expression for 8 times the sum of 2y + 4?

• 8 × 2y + 8 × 4

• 8y + 16

• 2 × (8y + 16)

• 16y + 32