Combining Like Terms in Algebra

The video tutorial explains the concept of like terms in algebra, focusing on identifying and combining them to simplify expressions. It covers the importance of pronumerals and their powers, provides examples of like and non-like terms, and offers practical tips for avoiding common pitfalls. The tutorial includes various examples to illustrate the process of combining like terms, emphasizing the need to keep pronumerals and their powers consistent.

What is the primary goal when simplifying algebraic expressions by adding and subtracting?

• To divide the terms

• To count identical terms

• To change the pronumerals

• To multiply the coefficients

Which of the following are considered like terms?

• x and x^2

• xy^2 and yx^2

• xy and yx

• x^2 and y^2

What must be identical for terms to be considered like terms?

• The coefficients

• The constants

• The pronumerals and their powers

• The order of terms

Which of the following pairs are not like terms?

• x^2 and x

• 2xy and 3yx

• 3x and 5x

• 4y and 7y

How do you simplify 7t + 2t - 3t?

• 7t

• 2t

• 12t

• 6t

What is the result of combining 4x and 2x?

• 8x

• 4x

• 2x

• 6x

In the expression 4x + 3y + 2x + 7y, which terms can be combined?

• 2x and 3y

• 4x and 7y

• 3y and 7y

• 4x and 3y

What analogy is used to help understand combining like terms?

• Counting books

• Counting stars

• Counting apples and oranges

• Counting tortoises

How many lots of XY are there in 4XY + 5YX?

• 5 lots

• 4 lots

• 1 lot

• 9 lots

What is the result of simplifying -x + 2x?

• 0

• x

• 3x

• -x