<p>hey guys i was doing some math prep and while i was checking my answers i found one of the answers that I thought was correct to be wrong
the question is number 9 on pg. 11 section 9</p>
<p>If p is an integer and 3 is the remainder when 2p+7 is divided by 5, the p could be?</p>
<p>(A) 2
(B) 3
(C) 4
(D) 5
(E) 6</p>
<p>I received C as my answer but the book says that B is the correct answer</p>
<p>If you try them all, you can see it clearly.</p>
<p>2(4) + 7 = 8 + 7 = 15</p>
<p>15 / 5 = 3 (ZERO remainder)</p>
<p>2(3) + 7 = 6 + 7 = 13</p>
<p>13 / 5 = 10 R 3</p>
<p>B is correct</p>
<p>2(4) + 7 = 15. 15/5 has a remainder of 0, so C is not the solution.</p>
<p>2(3) + 7 = 13. 13/5 has a remainder of 3, so B is the answer.</p>
<p>ah so the blue book is wrong once again
i knew i was right</p>
<p>No, the blue book indeed was correct. Your answer was C and it’s not C.</p>
<p>If p is an integer and 3 is the remainder when 2p+7 is divided by 5, the p could be?</p>
<p>(A) 2
(B) 3
(C) 4
(D) 5
(E) 6</p>
<p>So,</p>
<p>(2p + 7) / 5 = something + 3</p>
<p>What I do is put this into my graphing calculator.</p>
<p>First thing you do is change p to x.</p>
<p>Then you graph the equation using following the model:</p>
<p>y = fPart(n/d)d
Where n = the number, d = what you divide by, and y = the remainder.</p>
<p>So, that becomes</p>
<p>y = fPart((2x+7)/5)5
(to get fPart on your graphing calculator, press MATH, go to NUM, and press 4)</p>
<p>Graph it, check the table (2ND, GRAPH) for any y values that equal 3. You’ll find that when x = 3, y = 3, so the answer is B.</p>
<p>This saves so much time. This is the equivalent of plugging in all the answer choices. It’s better than plugging in manually because you’re prone to mistakes that way, and this way is fun to do lol.</p>
<p>You now know how to do any remainder problem on the SAT in less than a minute.</p>