Identifying Components of Algebraic Expressions

The video tutorial explains the components of an algebraic expression, including terms, coefficients, and constants. It provides examples to illustrate how terms are separated by signs and how coefficients are the numerical parts of terms with variables. Constants are identified as terms without variables. The tutorial also covers like terms, which share the same variables, and provides examples to clarify these concepts.

What separates terms in an algebraic expression?

• Parentheses

• Positive and negative signs

• Equal signs

• Multiplication and division signs

How many terms are in the expression 6x + 8 + 7y + x - 5?

• Six

• Five

• Four

• Three

What is the coefficient of the term 7y?

• 7

• 1

• 0

• y

Which term in the expression 4x - 6y + x - 10 is a constant?

• -10

• 4x

• x

• -6y

Identify the coefficients in the expression 4x - 6y + x - 10.

• 4, 6, 1

• 4, 6, 10

• 4, -6, 10

• 4, -6, 1

Which of the following is a constant term?

• 2z

• 5

• 7y

• 3x

In the expression 5 + 6x - 2y + x - 8, which terms are like terms?

• 5 and 6x

• 6x and -2y

• 6x and x

• 5 and -8

Which of the following pairs are like terms?

• 5 and -5

• 3x and 3y

• 4 and 4x

• 2y and -2y

In the expression 5 + 6x - 2y + x - 8, which term is an 'only child'?

• -2y

• 5

• 6x

• x