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ACT Exam Questions
Page 6 of 26
101.
Solve for m if 2mp/t = 5s.
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m = 5st/2p
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m = 5s/pt
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m = 2st/5p
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m = 10s/pt
Correct answer: m = 5st/2p
We express m in terms of the other variables:
2mp/t = 5s Multiplying both sides by t gives 2mp = 5st.
Dividing both sides by 2p gives m = 5st/2p.
102.
Choose the option that represents the best way to write the underlined portion of the sentence below.
Thomas found his keys crawling on the floor.
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While crawling on the floor, Thomas found his keys.
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No change
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Thomas found his keys, crawling on the floor.
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Crawling on the floor, the keys were found.
While crawling on the floor, Thomas found his keys.
As the sentence was originally written, it sounds as if the keys were crawling on the floor. This is an example of a misplaced modifier. It can be corrected by adding additional words or reversing the order the words.
103.
Choose the option that represents the best way to write the underlined portion of the sentence below.
There is a very high rate of unemployment in Detroit Michigan.
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Detroit, Michigan
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No change
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Detroit; Michigan
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Detroit-Michigan
There is a very high rate of unemployment in Detroit, Michigan.
A comma is used to separate a city and a state.
104.
Read the passage then answer the following question.
Employees are angry about all of the following except:
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Having to work overtime
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Not getting raises
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Having sick days taken away
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Their benefits package being altered
The author does not mention having to work overtime.
From the passage: Irritated by the organization's broken promises, employees are angry about not receiving raises and having their sick days taken away ... which decided to alter the benefit package to which employees were accustomed.
105.
Solve for t if:
2t/m − 5d − 3s = 0
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t = m(5d + 3s)/2
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t = -m(5d + 3s)/2
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t = 2m(5d + 3s)
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t = (5d + 3s)/2m
Correct answer: t = m(5d + 3s)/2
Given 2t/m − 5d − 3s = 0, we first add 5d and 3s to both sides:
2t/m = 5d + 3s
Multiplying by m and dividing by 2, we have:
t = m/2(5d + 3s) = m(5d + 3s)/2.
106.
John currently has enough money to buy 45 books. If the cost of each book was 10 cents less, John could buy 5 more books. How much money does John have to spend on books?
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$45
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$50
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$75
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$100
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$40
Correct answer: $45
Let c = cost of each book. Let m = total money. Thus m = 45c and m = 50(c − 10).
m = 45c = 50(c − 10)
45c = 50c − 500
500 = 5c
100 = c
Thus m = 4500 cents, or $45
107.
Read the passage then answer the following question.
According to the author, downloads of e-books are expected to surpass paper book sales by:
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30%
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10%
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50%
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5%
The last sentence of the passage states that e-book sales are expected to eclipse the sale of paper books by 30%.
From the passage: The book industry expects the e-book market to surpass paper book sales by 30% by the end of next year.
108.
Find the x coordinate of the point of intersection of line y = -1 and line -3x + y = 5.
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-2
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2
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1
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-1
Correct answer: -2
To find the point of intersection, we solve the two equations simultaneously.
Substituting for y ( y = -1) in -3x + y = 5, we have:
-3x − 1 = 5
-3x = 6; x = -2.
109.
Choose the option that represents the best way to write the underlined portion of the sentence below.
Let me know how it goes, he said and quickly walked away.
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it goes, he said,
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No change
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it goes he, said
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it goes; he said
Let me know how it goes, he said, and quickly walked away.
Commas are used to set off expressions that interrupt the flow of sentence. In this case, "he said" should be set off by commas.
110.
Read the passage then answer the following question.
How many claims had at least one error?
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303
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400
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350
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197
The author clearly states that 303 of 400 claims had errors.
From the passage: ...it was identified that only 97 claims were in accordance with company documentation requirements. The remaining 303 claims contained 1 or more deficiencies.
111.
Read the passage, and then answer the following question.
How many hydrogen atoms are in water?
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2
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5
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1
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8
Water, a chemical compound, contains one oxygen atom and two hydrogen atoms that are connected by covalent bonds.
In the second sentence of the first paragraph, the author of the passage states that there are 2 hydrogen atoms in each water molecule. Each water molecule also contains one oxygen atom, which is connected to the hydrogen atoms by covalent bonds.
112.
Choose the option that represents the best way to write the underlined portion of the sentence below.
In the mid-1800s, New England has became a center of American literature.
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became
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No change
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become
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had became
In the mid-1800s, New England became a center of American literature.
Sentences that include a date in the past or that reference a historical period will always use the simple past. In this case, "became" is the correct usage.
113.
What would be the value of 2(3² - 2³)?
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2
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0
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5
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6
Correct answer: 2
2(3² - 2³) = 2((3 × 3) − (2 × 2 × 2)) = 2(9 − 8) = 2(1) = 2
114.
Choose the option that represents the best way to write the underlined portion of the sentence below.
This is my favorite quote from Dr. King "Injustice anywhere is a threat to justice anywhere."
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from Dr. King:
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No change
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from Dr. King,
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from, Dr. King,
This is my favorite quote from Dr. King: "Injustice anywhere is a threat to justice anywhere."
A colon is used to introduce a direct quote.
115.
Read the passage then answer the following question.
Polar bears possess a layer of fat that is used for which of the following?
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Keeping them warm and providing energy
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Attracting a mate
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Making them look bigger and more threatening to predators
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Allowing them to float
The author states that the bears' layer of fat is used for keeping warm and providing them with energy.
From the passage: Polar bears come equipped with a layer of fat up to 4.3 inches thick that is used as a mechanism to keep the bears warm and provide them the needed energy to swim the long distances.
116.
Choose the option that represents the best way to write the underlined portion of the sentence below.
All four of the Beatles were talented, but in my opinion, John Lennon was the creativest.
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most creative
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No change
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more creative
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mostest creative
All four of the Beatles were talented, but in my opinion, John Lennon was the most creative.
When forming superlatives, multi-syllable adjectives use "more" or "most" rather than adding -er. Therefore, when comparing the four Beatles, the correct usage would be "most creative."
117.
Choose the option that represents the best way to write the underlined portion of the sentence below.
Diana is the faster swimmer I have ever seen.
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fastest
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No change
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fast
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more faster
Diana is the fastest swimmer I have ever seen.
Because this is a comparison of all the swimmers the writer has ever seen, the superlative must be used. The correct usage would be "fastest."
118.
Angles a and b are base angles of an isosceles triangle. If b = 52°, find the size of c, the other interior angle.
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76°
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86°
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52°
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62°
Correct answer: 76°
The base angles of an isosceles triangle are equal to 52°. Let the other angle be c.
c + 52 + 52 = 180°.
c + 104 = 180°; c = 180 − 104 = 76°.
119.
Read the passage, and then answer the following question.
Crater Lake is located in which of the following states?
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Oregon
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Washington
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Montana
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Utah
Located in south-central Oregon, Crater Lake is arguably the most striking site in that part of the country.
In the second sentence of the passage, the author clearly states that Crater Lake is located in the state of Oregon.
120.
Choose the option that represents the best way to write the underlined portion of the sentence below.
The runners who train regularly are more likely to complete the marathon.
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No change
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who train regularly,
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, who train regularly,
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: who train regularly,
The runners who train regularly are more likely to complete the marathon.
Commas are not used to set off phrases that are essential to a sentence's meaning.