Identifying Equivalent Expressions with Distribution and Negatives

The video tutorial focuses on identifying equivalent expressions by simplifying them. The instructor presents an expression and two potential equivalent expressions, guiding viewers through the simplification process to determine equivalence. The tutorial includes two examples, each demonstrating the step-by-step process of distributing terms and combining like terms to simplify expressions. The goal is to help viewers understand how to identify equivalent expressions through simplification.

What is the first step in identifying equivalent expressions?

• Distribute the constants

• Combine like terms

• Pause the video

• Simplify the expressions

What do you get when you distribute 2 in the expression 2(-6c + 3) + 4c?

• -12c + 6 + 4c

• -6c + 3 + 4c

• -12c + 3 + 4c

• -6c + 6 + 4c

After distributing and combining like terms in 2(-6c + 3) + 4c, what is the simplified form?

• -8c + 3

• -12c + 3

• -12c + 6

• -8c + 6

What is the result of distributing 3 in the expression 3(-4c + 2) + 4c?

• -12c + 2 + 4c

• -4c + 2 + 4c

• -4c + 6 + 4c

• -12c + 6 + 4c

What is the simplified form of 3(-4c + 2) + 4c?

• -8c + 6

• -8c + 3

• -12c + 6

• -12c + 3

What should you do first when simplifying the new example expression?

• Distribute the constants

• Simplify the expressions

• Combine like terms

• Pause the video

What is the simplified form of -6n + 4n - 12?

• -6n + 12

• -2n + 12

• -6n - 12

• -2n - 12

What do you get when you distribute 4 in the expression 4(n - 3) - 6n?

• 4n - 3 + 6n

• 4n - 12 + 6n

• 4n - 12 - 6n

• 4n - 3 - 6n

What is the simplified form of 4(n - 3) - 6n?

• -6n - 12

• -2n - 12

• -6n + 12

• -2n + 12

What is the simplified form of 2(2n - 6)?

• 4n - 12

• 2n - 12

• 4n - 6

• 2n - 6