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

Explanation:

Step1: Let the number be $x$.

Step2: Analyze part a

The product of 12 and a number is $12x$. 4.2 fewer than this product means $12x - 4.2$.

Step3: Analyze part b

The quantity 12 plus a number is $12 + x$. 4.2 decreased by this quantity is $4.2-(12 + x)=4.2 - 12 - x=-7.8 - x$.

Step4: Analyze part c

The product of 12 and a number is $12x$. 4.2 minus this product is $4.2-12x$.

Step5: Analyze part d

The sum of 12 and a number is $12 + x$. 4.2 less than this sum is $(12 + x)-4.2=12 + x-4.2 = 7.8+x$.

Answer:

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