Combining Like Terms in Algebraic Expressions

This video tutorial covers the fundamental concepts of adding and subtracting like terms in algebra. It begins with an introduction to terms, explaining the difference between like and unlike terms. The tutorial provides examples to illustrate these concepts, emphasizing that only like terms can be added or subtracted. It also demonstrates how to simplify algebraic expressions by combining like terms, using various examples to reinforce understanding.

What is a term in algebra?

• A number added to another number.

• A variable subtracted from a number.

• A number divided by a variable.

• A number or a variable, or numbers and variables multiplied together.

Which of the following pairs are unlike terms?

• 9b and 3b

• 4a and 6a

• 2y and 5y

• 3x and 7

Why can't you add 3x and 7 together?

• Because they are both numbers.

• Because they are both terms.

• Because they have different variables.

• Because they are both variables.

What is the result of adding 3x and 2x?

• 5x

• 6x

• 3x

• 2x

Which of the following are like terms?

• 7m and 8n

• 6a and 3a

• 2a and 2b

• 4x and 5y

How do you simplify 2a + 6a?

• 8a

• 4a

• 2a

• 6a

What is the simplified form of -a + 10a?

• 8a

• 9a

• 10a

• 11a

How do you simplify -2a + 3a + b - 7b?

• a - 6b

• a + 6b

• 5a - 6b

• 5a + 6b

What is the result of 8a - 6a?

• 2a

• 14a

• 8a

• 6a

Simplify -7x - 9x + b.

• -16x + b

• -2x + b

• -7x + b

• -9x + b