Exploring Parts of an Expression

This video tutorial covers the basics of algebraic expressions, including the definition and components such as variables, constants, coefficients, and terms. It explains how to identify these components within expressions and provides examples for practice. The tutorial also distinguishes between expressions and equations, emphasizing that expressions do not contain equal signs. Viewers are encouraged to pause and answer practice questions to reinforce their understanding.

What is an algebraic expression?

• An equation with an equal sign

• A mathematical phrase with one or more variables

• A sentence with words and numbers

• A number without any variables

Which of the following is a constant in the expression 5x^2 + 3x - y + 4?

• 4

• y

• 3

• 5

Identify the variables in the expression 5x^2 + 3x - y + 4.

• 4 and y

• x and y

• x and 4

• 5 and 3

What is the coefficient of x in the expression 5x^2 + 3x - y + 4?

• 5

• 1

• 3

• 4

If a coefficient is not written, what is it understood to be?

• 2

• 1

• 3

• 0

How many terms are in the expression 5x^2 + 3x - y + 4?

• 2

• 3

• 4

• 5

Which of the following is a term in the expression 5x^2 + 3x - y + 4?

• 5

• y + 4

• 5x^2

• 3

What separates terms in an algebraic expression?

• Operators (addition or subtraction signs)

• Division signs

• Equal signs

• Multiplication signs

What is the constant in the expression 6a^2 + 5ab + 3b + 12?

• 3

• 12

• 5

• 6

Is x + 4 = 10 an algebraic expression?

• No, because it has operators

• Yes, because it has numbers

• No, because it has an equal sign

• Yes, because it has variables