Which of the following expressions is equivalent to 15 - 3(2k + 4) after applying the prop… — Armed Services Vocational Aptitude Battery (ASVAB)

Which of the following expressions is equivalent to

15 - 3(2k + 4)

after applying the proper order of operations and combining like terms?

$-6k + 3$ Cevap
B
$24k + 48$
C
$-6k + 27$
D
$-3k$

Cevap

-6k + 3

The correct answer is found by first distributing the -3 to both the 2k and the 4, yielding -6k - 12. Then, combining the constant terms 15 and -12 results in a final, standard form simplified expression of -6k + 3.

Adım Adım Çözüm

Distribute the -3 to both terms inside the parentheses.

15 - 6k - 12

According to the order of operations, multiplication (distribution) must be performed before subtraction.

Identify and group the like terms.

-6k + (15 - 12)

Constant numbers are like terms and must be combined to fully simplify the expression.

Perform the arithmetic to combine the constants.

-6k + 3

Subtracting 12 from 15 yields the final constant value in the expression.

Anahtar Kavram

Distributive property and combining like terms

Soru

Cevap

Adım Adım Çözüm

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