<p>i have a couple questions on ACT math and there are no answer explanations so if you could help i would really appreciate it. thanks! </p>
<p>If x is less than or equal to 2, then |x-2|= ?
a. 0
b. x + 2
c. x-2
d. -x-2
e. -x + 2</p>
<p>There are 25 buildings on Elm Street. Of these 25 buildings, 10 have fewer than 6 rooms, 10 have more than 7 rooms, and 4 have more than 8 rooms. What is the total number of buildings on Elm Street that have 6, 7, or 8 rooms?
a. 5
b. 9
c. 11
d. 14
e. 15</p>
<p>A plane contains 11 horizontal lines and 11 vertical lines. These lines divide the plane into disjoint regions. How many of these disjoint regions have a finite, nonzero area?
a. 100
b. 110
c. 144
d. 156
e. 169</p>
<p>For the first one just plug in 2 for x and that eliminates choices b and d (because from the equation the answer is 0. Plugging in 2 in the formulas provided by b and d do not produce 0 as the answer). Then plug in 0 for x and that eliminates choices a and c (because plugging in 0 gets you 2 as the answer, but when you plug it into the formulas in a and c you get the wrong answer), leaving choice e as your answer. </p>
<p>For the second one start off with 25. Then subtract 10 because we are only looking for 6/7/8 rooms. Then subtract 4 because there are 4 that have more than 8 rooms. This leaves you with 11 (25 - 14).</p>
<p>For the last question I actually remember doing it on the actual test: all I did was draw the lines and count the spaces. It doesn’t take as long as you would think, and I got it right. I can’t recall the answer right now. But there is probably a faster way.</p>
<p>thank you so much! except the answer is 9 for the question about the rooms i also got 11, and i don’t get why it’s 9! so if someone could help with that one it’d be amazing.</p>
<p>I don’t get the buildings question. I thought that if a building has more than 8 rooms, then it also has 1,2,3,4,5,6,7 rooms in it also. Can someone explain? Also, what about the one building that isn’t mentioned? How do you know how many rooms it has?</p>
<p>@Vince011, second statement is slightly incorrect. 10 have fewer than 6 rooms, 10 have more than 7 rooms, so this tells you that 5 buildings have 6 or 7 rooms. However the correct answer is still 11.</p>
<p>@triassiic, what do you mean by “the one building that isn’t mentioned?”</p>
<p>Well it says that there are 25 buildings, but only says the room numbers for 10, 10, and 4. So what about the last one?</p>
<p>Also, I don’t understand how you got that “10 have fewer than 6 rooms, 10 have more than 7 rooms, so this tells you that 5 buildings have 6 or 7 rooms.”</p>
<p>The four buildings with more than 8 rooms are accounted for twice, once here and once when it says “10 buildings have more than 7 rooms.” (since buildings with more than 8 rooms also have more than 7 rooms). You can’t just simply add 10, 10, and 4.</p>
<p>But if the hotel has more than seven or eight rooms, wouldn’t it mean that it also has six or seven rooms? Sorry, this question is just really annoying me because I don’t get it at all.</p>
<p>Sorry, what I mean by “the building has six or seven rooms” is “the building has exactly six or seven rooms.”</p>
<p>The question says that four buildings have more than 8 rooms, and ten buildings (including the aforementioned four) have more than 7 rooms. This should tell you that exactly six buildings have exactly 8 rooms. Once we know this, we can find that there are five buildings with six or seven rooms. Note that we don’t actually know how many buildings have six rooms, or how many have seven, but there are five buildings with six or seven rooms.</p>
i also got 11, and i don’t get why it’s 9! so if someone could help with that one it’d be amazing.</p>