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04 Jul 2022, 06:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:30) correct
25%
(01:32)
wrong
based on 116
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If x = 3a and y = 9b, then all of the following are equal to 2(x + y) EXCEPT
A. 3(2a + 6b)
B. 6(a + 3b)
C. 24(a/4 + 3b/4)
D. 1/3(18a + 54b)
E. 12(a/2 + 3b/4)
A. 3(2a + 6b)
B. 6(a + 3b)
C. 24(a/4 + 3b/4)
D. 1/3(18a + 54b)
E. 12(a/2 + 3b/4)
04 Jul 2022, 08:54
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Develop the expressions and check common terms and distributions.
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DA03F4E5-A1F2-43E6-B9E9-C6540AA1D434.jpeg [ 289.1 KiB | Viewed 1815 times ]
17 Feb 2024, 23:23
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To find the value of 2(x + y) in terms of a and b, we can substitute x = 3a and y = 9b into the expression:
2(x + y) = 2(3a + 9b) = 6(a + 3b)
Therefore, we need to find the answer choice that does not equal 6(a + 3b). Let's evaluate each answer choice:
A. 3(2a + 6b) = 6a + 18b = 18b + 6a (by commutativity) = 6(3b + a)
B. 6(a + 3b) (this is the correct value)
C. 24(a/4 + 3b/4) = 6(a + 3b) (by factoring out 6)
D. 1/3(18a + 54b) = 18a + 54b = 54b + 18a (by commutativity) = 18(3b + a) = 6 \* 3(3b + a)
E. 12(a/2 + 3b/4) = 6(2a + 3b/2) (by factoring out 6) = 6(2a + 3b) (by multiplying 3b/2 by 2) = 6(a + 3b) \* 2
Therefore, the answer is E) 12(a/2 + 3b/4). This expression is equal to 6(a + 3b) \* 2, which is not equal to 6(a + 3b).
2(x + y) = 2(3a + 9b) = 6(a + 3b)
Therefore, we need to find the answer choice that does not equal 6(a + 3b). Let's evaluate each answer choice:
A. 3(2a + 6b) = 6a + 18b = 18b + 6a (by commutativity) = 6(3b + a)
B. 6(a + 3b) (this is the correct value)
C. 24(a/4 + 3b/4) = 6(a + 3b) (by factoring out 6)
D. 1/3(18a + 54b) = 18a + 54b = 54b + 18a (by commutativity) = 18(3b + a) = 6 \* 3(3b + a)
E. 12(a/2 + 3b/4) = 6(2a + 3b/2) (by factoring out 6) = 6(2a + 3b) (by multiplying 3b/2 by 2) = 6(a + 3b) \* 2
Therefore, the answer is E) 12(a/2 + 3b/4). This expression is equal to 6(a + 3b) \* 2, which is not equal to 6(a + 3b).
