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If a = 3b + 2, then, in terms of a, what is the value of b ? [#permalink]
29 Jan 2018, 15:14

Expert's post

00:00

Question Stats:

88% (00:19) correct
11% (00:43) wrong based on 26 sessions

If a = 3b + 2, then, in terms of a, what is the value of b ? A. \(b =\frac{a}{3}-\frac{2}{3}\) B. \(b =\frac{a}{3}+\frac{2}{3}\) C. \(b =\frac{a}{3}-2\) D. \(b =a-\frac{2}{3}\) E. \(b =a+\frac{2}{3}\)

Re: If a = 3b + 2, then, in terms of a, what is the value of b ? [#permalink]
29 Jan 2018, 16:57

Expert's post

sandy wrote:

If a = 3b + 2, then, in terms of a, what is the value of b ? A. \(b =\frac{a}{3}-\frac{2}{3}\) B. \(b =\frac{a}{3}+\frac{2}{3}\) C. \(b =\frac{a}{3}-2\) D. \(b =a-\frac{2}{3}\) E. \(b =a+\frac{2}{3}\)

Drill 1 Question: 13 Page: 495

GIVEN: a = 3b + 2 Subtract 2 from both sides to get: a - 2 = 3b Divide both sides by 3 to get: (a - 2)/3 = b Rewrite as a/3 - 2/3 =b

Answer: A

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Re: If a = 3b + 2, then, in terms of a, what is the value of b ? [#permalink]
04 Mar 2018, 14:21

Expert's post

Explanation

The problem has variables in the answer choices so Plug In.

Because the problem says, “in terms of a,” a is the variable that you want to plug in for. If a = 8, then b = 2, and that is now your target. When you plug in your value for a into choice (B), you get \(\frac{8}{3}-\frac{2}{3}=\frac{6}{3}=2\); thus, the correct answer.
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