Combining Like Terms in Algebra

Mrs. Nathal reviews the concept of combining like terms, starting with a simple example using coconuts and mangoes. She explains how to represent these terms mathematically with symbols and how to combine them in algebraic expressions. The lesson progresses to more complex terms, focusing on organizing and combining terms with different variables and coefficients. The video concludes with practice problems to reinforce the concepts learned.

What would be the result of combining 2 coconuts and 4 coconuts?

• 4 coconuts

• 2 mangoes

• 6 coco mangoes

• 6 coconuts

In algebraic terms, how would you represent three mangoes?

• 3c

• 3m

• 3x

• m3

Which of the following is a correct representation of a single mango in algebraic terms?

• 1 mango

• m1

• 1m

• m

If you have 3x and -18x, what is their sum?

• 15x

• 21x

• -15x

• -21x

What should you consider when combining terms with exponents?

• Neither is necessary to match

• Only the exponent needs to match

• Only the variable needs to match

• Both the variable and the exponent must match

What does 21y - 1y - 4y simplify to?

• 16y

• 22y

• 20y

• 18y

Which terms can be combined: 5x^2, -13x^2, and 16x^3?

• All can be combined

• -13x^2 and 16x^3

• 5x^2 and 16x^3

• 5x^2 and -13x^2

What is the result of combining -8x^2, -16x^2, and 16x^2?

• 8x^2

• 0

• 24x^2

• -8x^2

What is the final expression when combining 6xy and 7xy?

• 6xy

• 42xy

• 1xy

• 13xy

If you have 14x and 18x, what do they combine to?

• 30x

• 2x

• 4x

• 32x