Topic 3 Test

Front

What are the parts of the expression 6g + 8 - 3g - 2?

Back

Terms: 4 (6g, -3g, 8, -2); Coefficients: 6, -3; Constants: 8, -2; Like Terms: (6g, -3g), (8, -2)

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you combine like terms in the expression 6g + 8 - 3g - 2?

Back

Combine like terms: (6g - 3g) + (8 - 2) = 3g + 6.

Front

What is the expression for the total cost of renting a van if the daily fee is $50 and $0.35 per mile?

Back

Total cost = 50 + 0.35m, where m is the number of miles driven.

Front

What does the variable 'm' represent in the context of Mr. Parker's van rental?

Back

The variable 'm' represents the number of miles driven by Mr. Parker.

Front

What is the total cost if Mr. Parker drives 100 miles?

Back

Total cost = 50 + 0.35(100) = 50 + 35 = $85.

Front

What is the difference between a term and a coefficient?

Back

A term is a single mathematical expression, while a coefficient is the numerical part of a term that contains a variable.

Front

What is the first step in simplifying the expression 6g + 8 - 3g - 2?

Back

Identify and combine like terms.