Combining Like Terms: Practice and Application

The video tutorial covers the concept of like terms, explaining that they have the same variables or are constants. It provides examples of like terms and unlike terms, demonstrating how to combine them. The tutorial includes practice problems and advanced techniques for combining like terms, concluding with final notes and tips for simplifying expressions.

What is a constant in mathematical terms?

• A symbol representing an operation

• A letter that takes the place of a number

• A plain old number

• A number with a variable

Which of the following are like terms?

• 7c and 7c

• 3a and 3b

• 2d and 2e

• 5x and 5y

Why can't 31g and 29a be combined?

• They have different coefficients

• They are constants

• They have different variables

• They are both negative

What is the result of combining 3a and 4a?

• 7a

• 1a

• 0a

• 12a

What happens when you combine 2y and -2y?

• y

• 4y

• 0y

• 2y

How do you simplify 5x + 7 - x - 4 + 3x?

• 5x + 3

• 7x + 3

• 7x + 7

• 5x + 7

What is the simplified form of 10y + 3x - 2 + 4y + 2x?

• 10y + 5x - 2

• 14y + 5x - 2

• 10y + 3x + 2

• 14y + 3x - 2

What should you do first when solving an expression with distribution?

• Add all constants

• Distribute the number to everything in the parentheses

• Combine like terms

• Subtract all variables

How should you write the final expression in terms of order?

• Variables first, then constants

• Constants first, then variables

• In alphabetical order with constants at the end

• In reverse alphabetical order

What is the best way to write the expression 8a + 5c + 15?

• 8a + 15 + 5c

• 8a + 5c + 15

• 15 + 8a + 5c

• 5c + 8a + 15