Understanding Numerical and Algebraic Expressions

The video tutorial by Mr. J explains the difference between numerical and algebraic expressions. Numerical expressions consist of known numbers and operations, while algebraic expressions include variables representing unknown values. Examples of both types are provided, and viewers learn to identify whether an expression is numerical or algebraic. The video concludes with practice problems to reinforce the concepts.

What is an expression in mathematics?

• A sentence with words and punctuation

• A combination of numbers, variables, and operations

• A paragraph describing a math problem

• A list of numbers only

Which of the following is a numerical expression?

• m / 2 + n

• x - y

• 10 + x

• 14 + 7

Which of the following is NOT a numerical expression?

• x + 10

• 4^2 - 9

• 80 / (12 + 8) - 4

• 36 * 5

What is a key characteristic of algebraic expressions?

• They do not include operations

• They are always equations

• They include at least one variable

• They only include numbers

What does a variable in an algebraic expression represent?

• A mathematical operation

• An unknown value

• A fixed number

• A constant

In the expression 36 * P, what does P represent?

• A known number

• A variable representing an unknown value

• A constant

• A mathematical operation

Tags

TEKS.MATH.6.7B

How can you represent a situation where the number of people is unknown?

• Use a mathematical operation

• Use a variable

• Use a fixed number

• Use a constant

What operation does placing a number next to a variable imply?

• Subtraction

• Addition

• Division

• Multiplication

Tags

TEKS.MATH.5.4F

Which expression represents the sum of 42 and 19?

• 42 / 19

• 42 + 19

• 42 * 19

• 42 - 19

Which expression is algebraic?

• 28 - 33

• 9W + 4

• 42 + 19

• 80 / (12 + 8)