Terms and Variables

The video tutorial explains the concepts of variables, coefficients, and like terms in mathematical expressions. It defines terms as parts of expressions separated by addition or subtraction. Constants are values that do not change, while variables can change and are usually represented by letters. Coefficients are constants that multiply variables. Like terms have the same variables with the same exponents, and their coefficients can be added or subtracted. The tutorial emphasizes not adding exponents when combining like terms. Examples are provided to illustrate these concepts, and the video concludes with a review of the key ideas.

What is a constant term in an algebraic expression?

• A term that does not change

• A term that includes a variable

• A term that multiplies a variable

• A term that has an exponent

In the expression 3X - 4, what role does the number 3 play?

• It is a variable

• It is a constant term

• It is a coefficient

• It is an exponent

What are like terms in an algebraic expression?

• Terms with the same variables and exponents

• Terms with different variables

• Terms with no variables

• Terms with different coefficients

When combining like terms, what should you do with the coefficients?

• Add the exponents

• Subtract the exponents

• Add the coefficients

• Multiply the coefficients

In the expression 10X^2 + 8X^2 + 3X + 5, which terms can be combined?

• 10X^2 and 8X^2

• 10X^2 and 3X

• 8X^2 and 5

• 3X and 5