Understanding Algebraic Expressions

The video tutorial reviews key algebraic vocabulary, including variables, constants, coefficients, and terms. Variables are unknowns in expressions, constants are numbers without variables, coefficients are numbers multiplied by variables, and terms are parts of an equation separated by addition or subtraction symbols. The tutorial emphasizes the importance of understanding these concepts for solving algebraic problems.

Which of the following is NOT a key algebraic term introduced in the video?

• Constant

• Exponent

• Variable

• Coefficient

What are variables in an algebraic expression?

• Known numbers

• Unknown quantities

• Fixed values

• Symbols of addition

In the expression 5x + 3y + 8, which are the variables?

• 3 and 8

• 5 and 3

• x and y

• 8 and 5

What defines a constant in an algebraic expression?

• A symbol of addition

• A variable without a number

• A number without a variable

• A number with a variable

In the expression 5x + 3y + 8, which number is the constant?

• x

• 5

• 3

• 8

What is a coefficient in an algebraic expression?

• A number added to a variable

• A number multiplied by a variable

• A variable without a number

• A constant value

In the expression 5x + 3y, what are the coefficients?

• x and y

• 5 and 3

• 5 and x

• 3 and y

How should coefficients and variables be written in an expression?

• Separated by a multiplication symbol

• Separated by an addition symbol

• Coefficient first, then variable

• Variable first, then coefficient

What is a term in an algebraic expression?

• A symbol of multiplication

• A variable without a number

• A part of the equation separated by addition or subtraction

• A number without a variable

In the expression 5x + 3y + 8, how many terms are there?

• 1

• 2

• 3

• 4