Matt wants a wood deck built in his backyard. The construction company charges a one-time fee of $175 to start the work and then $45 per hour to build the deck. The deck boards cost $3 per linear foot. The expression 45x + 3y + 175 represents the total cost to build the deck.

Question

Question 1
Which math word describes 175 in the expression?
Responses
A factorfactor
B constantconstant
C variablevariable
D coefficientcoefficient
Question 2
Which two math words describe 45x in the expression?
Responses
A difference and productdifference and product
B term and productterm and product
C term and divisorterm and divisor
D term and quotient

Answer 1

Question 1: The correct answer is B. constant. The value 175 is a fixed amount that does not change, hence it is a constant.

Question 2: The correct answer is B. term and product. The expression 45x consists of a term (45x) and represents the product of the coefficient 45 and the variable x.