Understanding Equivalent Expressions

The video by Mumu Math and Science explains how to determine if two algebraic expressions are equivalent. It covers the use of the distributive property and the commutative law to simplify expressions. The video provides two examples to illustrate the process of checking equivalency by distributing terms and combining like terms. The first example shows non-equivalent expressions, while the second example further demonstrates the method. The video concludes with a reminder of daily uploads of math and science content.

What is the first step in checking if two expressions are equivalent?

• Use the commutative property on the left

• Combine all terms on the right

• Use the distributive property on the left

• Add all coefficients

What does the distributive property help you do in algebra?

• Divide terms equally

• Multiply a single term across terms inside parentheses

• Add all variables together

• Subtract terms from both sides

In the distributive property, what operation is performed between 'a' and 'B' in the expression a(B + C)?

• Division

• Subtraction

• Addition

• Multiplication

In Example 1, what is the result of distributing 2 across (3e - 8)?

• 6e - 16

• 5e - 10

• 4e - 12

• 7e - 14

What is the final result on the right side of Example 1 after combining like terms?

• 7e + 17

• 6e + 16

• 8e + 18

• 5e + 15

In Example 2, what is the result of combining 13JK and -3JK?

• 15JK

• 8JK

• 10JK

• 12JK

What property is used in Example 2 to rearrange terms?

• Distributive Property

• Identity Property

• Commutative Property

• Associative Property

What is the final expression on the left side in Example 2 after combining like terms?

• 13JK + 6J - 6

• 12JK + 5J - 5

• 11JK + 4J - 4

• 10JK + 3J - 3

Are the expressions in Example 2 equivalent?

• No, they are not equivalent

• Cannot be determined

• Yes, they are equivalent

• They are partially equivalent

What is the main takeaway from the video on equivalent expressions?

• Expressions can be equivalent if simplified correctly

• Expressions are always equivalent

• Expressions are never equivalent

• Expressions are equivalent only if they have the same variables