ACT math questions please help

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<p>1.)))Al bikes a trail to the top of a hill and back down. He bikes up the hill in m minutes, then returns twice as quickly downhill on the same trail. What is the total time, in hours, that Al spends biking up the hill and back down? The answer choices are:
a. m/60
b. m/40
c. m/30
d. 3m/2
e. 2m</p>

<p>Well the answer is B. m/40. Can someone please explain it to me I'm so confused I thought the answer was d. 3m/2</p>

<p>2.))The Next question is:
Two girls walk home from school. Starting from school, Susan walks 2 blocks north and the west 8 blocks, while Cindy walks east 3 blocks and then south 1 block. Approximately how many blocks apart are the girls' homes?
a) 7.1
b) 10.4
c) 11.4
d) 12.7
e) 16.0</p>

<p>Well the answer is c) 11.4 and I don't know how. Please explain it to me.</p>

<p>3.)))Next Question:
For all integer values of a and b such that a>0 and b<0, which of the following must also be an integer?
f. 3^(a+b)
g. 3^(a-b)
h. 3^(ab)
j. 3^(-a)
k. 3^(a/b)</p>

<p>The answer is G. 3^(a-b) I really don't understand this question.</p>

<p>4.))Next Question:
A circular running track is being built in a fenced-in athletic field 100ft wide and 150ft long. If a border of 10ft is needed between the outside edge of the track and the fence, what is the radius of the largest track that can be built?
f. 40
g. 45
h. 65
j. 90
k. 110
The answer is F. 40...</p>

<p>5.))Next Question:
If a sphere is cut by two different planes, dividing it into sections, how many sections is it possible to end up with?
a. 2 only
b. 2 or 4 only
c. 3 only
d. 3 or 4 only
e. 2, 3, or 4 only
Well the answer is D. 3 or 4 only</p>

<p>6.))Last Question:
Erin and Amy are playing poker. At a certain point in the game, Erin has 3 more chips than Amy. On the next hand, Erin wins 4 chips from Amy. Now how many more does Erin have than Amy?
The Answer is J. 11 and I really don't understand why.</p>

<p>Next Question:
For all real values of a and b, the equation |a-b|=5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?
The answer is K. 10</p>

<p>PLEASE HELP ME. I'M SO CONFUSED AND I HAVE TO TAKE THE ACT IN ABOUT A WEEK. JUST TRY AND GIVE A GOOD EXPLANATION FOR THESE QUESTIONS. IT WILL MEAN A LOT AND IT IS GREATLY APPRECIATED.</p>

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<p>1 time traveled is 3/2m but to covert m to h you divide by 60 3m/60•2=m/40.</p>

<p>Sent from my iPhone using CC</p>

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<ol>
<li>Note that 3 raised to the power of any negative number is not an integer.</li>
</ol>

<p>F is not true because a+b could be negative (when b is larger in absolute value than a, e.g. a = 1, b = -3). </p>

<p>H, J, K are not true because the quantities ab, -a, a/b are always negative for integers a>0, b<0. </p>

<p>G is true because a-b is equal to a positive integer minus a negative integer, which is a positive integer. 3 raised to a positive integer is always an integer.</p>

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<p>If you still need help on those questions, bump this, I will write out the explanations for you. For #6, provide all the answer choices, might be easier to figure out by process of elimination.</p>

5

<ol>
<li>So it 1m up + .5 minutes down. The total is 1.5 m. Divide that by 60 = 1.5m/60. that is m/40.</li>
<li>This is just an undercover distance formula question. The two points are (-8,2) and (3,-1). Just do distance formula for 11.4!!</li>
<li>Its asking for an integer so that means the power has to be a positive number. So if B is negative you put a-b so the -b ends up being +b. A is already positive so you are left with a positive power, which would be an integer.</li>
<li>Well this is kinda hard without a picture, but basically the rectangle is 150 by 100 and there is a 10 foot area on each side so you subtract 20. Your two choices for diameter are either 80 or 130, and 130 would not fit in the rectangle so the diameter has to be 80, radius 40.</li>
<li>Ok this is super hard without a picture but basically the planes can only be arranged parrallel or intersecting. Parallel would leave you with 3 sections and intersecting would leave you with 4 sections. </li>
<li>So if Erin have 3 more than Amy to start off then Erin gains 4 and amy loses 4, the total difference between the two is 4+4+3=11!!</li>
<li>Not gonna lie this one is very easy but worded extremely hard. The two solutions for A without the absolute value signs are -5 and 5. The difference between the two is 10!!</li>
</ol>

<p>I have not taken the ACT yet but im taking it next month, im a junior.</p>

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<p>On 7. i meant not gonna lie it was very hard, not easy. didnt mean to make it sound like that.</p>

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<p>The hard part of 7 is that it’s not worded very well. If you assume b is fixed then the problem is very easy. The simplest solution is to fix b = 0 so that |a| = 5. Then a = 5, -5, so the positive difference is 10.</p>

<p>If you want to solve it in general, we have two cases:</p>

<p>a-b = 5 → a = b+5
a-b = -5 → a = b-5</p>

<p>So the positive difference in these two solutions for a is 10.</p>

8

<p>Are these the math questions from the test in Sept.?</p>

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<p>^ Umm…this thread was started on August 31 of last year. Unless they reuse ACT questions (highly doubt it), no.</p>