Combining Like Terms and Expressions

The video tutorial explains how to add and subtract monomials by combining like terms. It identifies like terms in a polynomial, expands expressions, and simplifies them to find the final polynomial solution.

What is the key rule when adding or subtracting monomials?

• Variables must be ignored.

• You must always subtract.

• You can combine any terms.

• Only like terms can be combined.

Which of the following is a like term to 12Z^4?

• 12Z^4

• 12Z^3

• 12ZX

• 12

What happens to constants when identifying like terms?

• They are considered like terms to each other.

• They are combined with variables.

• They are subtracted from variables.

• They are ignored.

What is the result of expanding the expression 12Z^4 - 12ZX + 12 - 2 - 8ZX?

• 12Z^4 - 4ZX + 10

• 12Z^4 - 20ZX + 12

• 12Z^4 - 4ZX + 12

• 12Z^4 - 20ZX + 10

How do you handle the minus sign when expanding expressions?

• Ignore it.

• Apply it to all terms.

• Apply it to the first term only.

• Apply it to the last term only.

What is the final simplified form of the expression after combining like terms?

• 12Z^4 - 20ZX

• 12Z^4 + 4ZX

• 12Z^4 - 4ZX

• 12Z^4 + 20ZX

What is the result of combining 12ZX and -8ZX?

• 4ZX

• 12ZX

• 20ZX

• 0