This example is about writing algebraic expressions given quantitative information.
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From the 5 possible solutions, we understand that we need to rewrite the given statements in the problem into one mathematical expression.
We will first rewrite the problem as follows:
Which of the following is the product of $1$ less than $4$ times $x$ and $3$ more that $5$ times $x$?
The word product is important and means multiplication. The two expressions to multiply are: "$1$ less than $4$ times $x$" and "$3$ more that $5$ times $x$"
We now translate the underlined expressions mathematically
$1$ less than $4$ times $x$ is equivalent to $4x - 1$
$3$ more that $5$ times $x$ is equivalent to $5x + 3$
Finally the product is
$(4x - 1)(5x+3)$
Expand (multiply) to obtain
$(4x - 1)(5x+3)= 20x^2+12x-5x-3 = 2x^2+7x-3$
Answer E