Basics of Algebra: Adding and Subtracting Like Terms

The video tutorial covers the basics of algebra, focusing on combining like terms and adding or subtracting expressions. It uses practical examples involving stationery items to illustrate these concepts. The tutorial explains two methods for adding expressions: horizontal and vertical. It also highlights the importance of only adding or subtracting like terms. The session concludes with solving algebraic questions and introduces the next topic of multiplication between expressions.

What are the components of an algebraic expression?

• Only variables

• Only constants

• Constants, variables, and terms

• Only terms

How many pencils are there in total after combining like terms from the boxes?

• 6 pencils

• 8 pencils

• 12 pencils

• 10 pencils

What is the result of subtracting 3 erasers, 2 pencils, and 6 notebooks from the total?

• 5 pencils, 11 erasers, 3 notebooks

• 7 pencils, 9 erasers, 5 notebooks

• 6 pencils, 10 erasers, 4 notebooks

• 8 pencils, 12 erasers, 6 notebooks

What is the correct expression after subtracting x - y from 7x - 3y + 5?

• 6x - 2y + 5

• 7x - 2y + 5

• 6x - 4y + 5

• 8x - 4y + 5

Why is it important to only add or subtract like terms?

• Because it makes calculations faster

• Because unlike terms cannot be combined meaningfully

• Because it is a rule of algebra

• Because it simplifies the expression

Which of the following is a like term to -x²y?

• -x²y

• -x²

• -xy²

• -y²x

What is the result of subtracting 8x + 8 from 11x?

• 3x + 8

• 3x - 8

• 19x

• 3x