Combining and Simplifying Algebraic Expressions

The video tutorial guides viewers through determining which of four expressions is equivalent to the given expression 12x + y. The instructor simplifies each choice, eliminating A, B, and C, and confirms that Choice D is the correct answer. The process involves combining like terms and verifying equivalence to the target expression.

What is the main objective of the problem discussed in the video?

• To solve for y

• To determine which expression is equivalent to 12x + y

• To find the value of x

• To simplify 12x + y

Which operation is performed first in simplifying Choice A?

• Dividing y terms

• Multiplying x terms

• Adding x terms

• Subtracting y terms

Why is Choice A eliminated?

• It is already simplified

• It does not match the given expression 12x + y

• It has more y terms than needed

• It has more x terms than needed

In Choice B, what is the result of combining 6X and 7x?

• 13x

• 12x

• 11x

• 14x

What happens to the y terms in Choice B?

• They remain unchanged

• They are added

• They are subtracted

• They are multiplied

Why is Choice B not equivalent to the given expression?

• It has an extra x term

• It has an extra y term

• It has fewer x terms

• It has fewer y terms

What is the result of combining 8X and 4X in Choice C?

• 12x

• 11x

• 10x

• 13x

How are the y terms handled in Choice C?

• They cancel each other out

• They are added

• They are subtracted

• They are multiplied

Why is Choice C eliminated?

• It is already simplified

• It has fewer y terms

• It does not match the given expression 12x + y

• It has more x terms

What is the result of simplifying 15x - -3x in Choice D?

• 10x

• 12x

• 18x

• 15x