SAT Mathematics Practice Test 4

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Question : 5 of 58

Marks: +1, -0

3(2x+1)(4x+1)

Which of the following is equivalent to the expression above?

$45x$
$24x^2+3$
$24x^2+18x+3$
$18x^2+6$

Solution:

The expression

3(2x+1)(4x+1)

can be simplified by first distributing the

3

to yield

(6x+3)(4x+1)

, and then expanding to obtain

24x^2+12x+6x+3

. Combining like terms gives

24x^2+18x+3.

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