Exploring Algebraic Expressions with Variables

What is an algebraic expression?

• A mathematical phrase that includes at least one variable

• A symbol that represents a specific number

• A number without any variables

• A sentence that describes a mathematical operation

In the expression 3 * y, what does 'y' represent?

• A product

• A coefficient

• A variable

• A constant

Which of the following is NOT a way to represent multiplication in algebra?

• 3 * y

• 3 + y

• 3y

• 3(y)

Julia charges $5 per person for face drawings. If 'P' represents the number of people, what is the algebraic expression for the total cost?

• P - 5

• P/5

• 5P

• 5 + P

Why is 'P' an appropriate variable for the number of people in the face drawing problem?

• Because it is the first letter of 'people'

• Because it is a constant

• Because it is a common variable in algebra

• Because it represents the cost

Bruce adds two extra cookies for every order on Mondays. If 'C' represents the number of cookies ordered, what is the algebraic expression for the total number of cookies?

• C/2

• C + 2

• 2C

• C - 2

If multiple choice questions are worth 2 points each and short answer questions are worth 5 points each, what is the algebraic expression for the total score if 'M' is the number of multiple choice questions and 'S' is the number of short answer questions?

• 2M - 5S

• 5M - 2S

• 5M + 2S

• 2M + 5S

What does the expression 40 + 5y represent?

• 40 more than the product of 5 and y

• The product of 40 and 5y

• The sum of 40 and y

• 40 less than the product of 5 and y

How can we show which operation to perform first in an algebraic expression with multiple operations?

• By using a multiplication sign

• By using parentheses

• By using brackets

• By using a division sign

Which property states that the order of addition does not affect the sum?

• Commutative Property

• Identity Property

• Associative Property

• Distributive Property