Understanding Equivalent Expressions

The video tutorial explains how to determine if expressions are equivalent to a given sum using the distributive property and order of operations. It provides multiple examples, demonstrating both methods to evaluate expressions and confirm their equivalence or non-equivalence to the sum of 35 + 49. The tutorial emphasizes understanding the distributive property, order of operations, and the commutative property of addition.

What is the sum of 35 + 49?

• 85

• 84

• 83

• 82

Which property is often referred to as multiplication across addition or subtraction?

• Distributive Property

• Associative Property

• Identity Property

• Commutative Property

What is the result of applying the distributive property to 2 * (5 + 3)?

• 8

• 13

• 16

• 10

Using the order of operations, what is 5 * (7 + 9)?

• 84

• 80

• 85

• 90

Which expression is equivalent to 35 + 49?

• 7 * (10 + 2)

• 5 * (7 + 9)

• 7 * (5 + 7)

• 5 * (7 + 10)

What is the result of 7 * (5 + 7) using the distributive property?

• 49

• 84

• 35

• 70

Which expression is not equivalent to 35 + 49?

• 7 * (5 + 7)

• 7 * (10 + 2)

• 5 * (7 + 10)

• 7 * (7 + 5)

What is the result of 5 * (7 + 10) using the order of operations?

• 80

• 85

• 90

• 84

What is the commutative property of addition?

• Multiplying a number by 1 gives the same number

• Adding zero to a number gives the same number

• Grouping numbers differently does not change the sum

• Changing the order of addends does not change the sum

What is the result of 7 * (7 + 5) using the distributive property?

• 84

• 85

• 90

• 80