Exploring Algebraic Expressions and Operations

This video tutorial covers writing algebraic expressions, focusing on understanding variables, terms, coefficients, and constants. It provides examples and explains how to approach word problems using algebraic expressions. The lesson emphasizes the importance of having notes and guides students through practice exercises.

What is a variable in an algebraic expression?

• A term without any coefficient

• A number that is always constant

• A symbol, usually a letter, that represents a number

• An operation like addition or subtraction

Which of the following is a term in the expression 6n + 7n + 2n + 4?

• 7

• 6n

• n

• 4n

What is the coefficient in the term 7n?

• None of the above

• n

• 7

• 14

Identify the constant in the expression 3x + 2 + 10 + 4x.

• 3x

• 4x

• x

• 2

Which of the following are like terms?

• x and 10

• 2 and 10

• 3x and 4

• 3x and 4x

What operation does the word 'product' indicate?

• Addition

• Subtraction

• Multiplication

• Division

How would you write '$10 more than Anthony earned' if D represents the dollars Anthony earned?

• 10 - D

• D - 10

• 10D

• D + 10

If G represents the number of gallons, how would you write 'four and a half times the number of gallons'?

• 4.5 + G

• 4.5G

• 4.5 / G

• G - 4.5

What does the phrase 'five less than three times the number of points' translate to if P is the number of points?

• 3P + 5

• 5 - 3P

• P - 5

• 3P - 5

Which symbol is commonly used to represent multiplication in higher-level math?

• x

• •

• None of the above

• *