Question

which algebraic expression represents each verbal expression?
a. 4.2 fewer than the product of 12 and a number select choice

b. 4.2 decreased by the quantity 12 plus a number select choice

c. 4.2 minus the product of 12 and a number select choice

d. 4.2 less than the sum of 12 and a number select choice
select choice
12n - 4.2
4.2 - 12n
(12 + n) - 4.2
4.2 - (12 + n)

Explanation:

Step1: Define variable

Let $n$ = the unknown number

Step2: Solve part a

"Product of 12 and a number" = $12n$; "4.2 fewer than" means subtract 4.2 from the product:
$12n - 4.2$

Step3: Solve part b

"Quantity 12 plus a number" = $12 + n$; "4.2 decreased by" this quantity means subtract the quantity from 4.2:
$4.2 - (12 + n)$

Step4: Solve part c

"Product of 12 and a number" = $12n$; "4.2 minus" this product:
$4.2 - 12n$

Step5: Solve part d

"Sum of 12 and a number" = $12 + n$; "4.2 less than" this sum means subtract 4.2 from the sum:
$(12 + n) - 4.2$

Answer:

a. $12n - 4.2$
b. $4.2 - (12 + n)$
c. $4.2 - 12n$
d. $(12 + n) - 4.2$