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If the smaller of two consecutive even integers is a multiple of 4, which of the following could not be the sum of these two integers?

Explanation	Calculations	Help
$We translate "two consecutive even integers" into algebraic expressions.$	$2 k, 2 k + 2$	Theory & Tactics Method Card TRANS5-A Click to view full details
$We translate "the smaller is a multiple of 4" to relate the integers to a new integer variable.$	$2 k = 4 n$	Theory & Tactics Method Card TRANS5-E Click to view full details
$We solve for the variable k in terms of n.$	$k = 2 n$
$We substitute this value into our expressions for the two integers.$	$4 n, 4 n + 2$
$We write the sum of these two integers.$	$4 n + (4 n + 2)$
$We simplify this expression.$	$8 n + 2$
$We test the choice 20 to see if it can match this form.$	$20 = 8 n + 2$

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B

If the smaller of two consecutive even integers is a multiple of 4, which of the following could not be the sum of these two integers?

Explanation	Calculations	Help
$We translate "two consecutive even integers" into algebraic expressions.$	$2 k, 2 k + 2$	Theory & Tactics Method Card TRANS5-A Click to view full details
$We translate "the smaller is a multiple of 4" to relate the integers to a new integer variable.$	$2 k = 4 n$	Theory & Tactics Method Card TRANS5-E Click to view full details
$We solve for the variable k in terms of n.$	$k = 2 n$
$We substitute this value into our expressions for the two integers.$	$4 n, 4 n + 2$
$We write the sum of these two integers.$	$4 n + (4 n + 2)$
$We simplify this expression.$	$8 n + 2$
$We test the choice 20 to see if it can match this form.$	$20 = 8 n + 2$

Scroll horizontally to view all columns

B