Addition and Subtraction of Algebraic Expressions

The video tutorial introduces basic algebraic concepts, including variables, constants, and expressions. It explains how to identify and classify expressions as monomials, binomials, trinomials, and polynomials. Through practical examples involving age calculations, the tutorial demonstrates how to add and subtract like terms and apply the distributive law. It concludes by teaching how to evaluate expressions by substituting values for variables.

What is the coefficient of x in the expression x + 6?

• 6

• 1

• 0

• 10

Which of the following is a binomial?

• x + y + z

• xyz

• x + 6

• x

If Sela's age is x, what is the expression for her father's age?

• x + 5

• 3x + 5

• 5x + 3

• x - 5

What is the expression for Sela's grandfather's age if her age is x?

• 2x + 5

• x + 15

• 4x + 15

• 3x + 10

Which of the following are like terms?

• 3x and 5

• x and 3x

• x and y

• 5 and 10

What is the result of subtracting 2x from 5x?

• 5x

• 3x

• 7x

• 2x

If Sam's mother's age is 3x, what was her age five years ago?

• 3x - 5

• 3x + 5

• x - 5

• 5x - 3

What is the value of the expression 4x + 15 when x = 12?

• 60

• 48

• 63

• 51

How do you find the value of an expression?

• By multiplying all terms

• By adding all terms

• By substituting the variable with a number

• By guessing

What is the value of 5a^2 - 5 when a = 2?

• 15

• 25

• 30

• 20