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ACT Exam Questions
Page 7 of 26
121.
Choose the option that represents the best way to write the underlined portion of the sentence below.
Each of us has taken the required coursework.
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No change
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Each of us have taken
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Each of us is taken
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Each of us are taken
Each of us has taken the required coursework.
The sentence is correct as written. The subject, "each," is singular. Therefore, to ensure subject-verb agreement, the verb phrase "has taken" must be used.
122.
Choose the option that represents the best way to write the underlined portion of the sentence below.
He is telling a brazen lie, I thought, as I listened to his unbelievable story.
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No change
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I thought
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I thought;
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I thought:
He is telling a brazen lie, I thought, as I listened to his unbelievable story.
Commas are used to set off phrases that interfere with the flow of a sentence. In this case, "I thought" should be set off by commas.
123.
Identify a positive prime factor that divides evenly into 12 whose square divides evenly into 28.
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2
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4
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7
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3
Correct answer: 2
The prime numbers that divide evenly into 12 are 2 and 3. The squares of these numbers are:
2² = 4; and 3² = 9.
Since 4 divides evenly into 28 and 9 does not, the positive prime factor is 2.
124.
A positive number x is such that when divided by 8 and 6, the remainder is always 2. What is the lowest possible value for x?
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26
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24
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50
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46
Correct answer: 26
We can start by determining the lowest common multiple of 8 and 6. The multiples of 8 and 6 are:
For 8: 8, 16, 24, 32
For 6: 6, 12, 18, 24, 30
The lowest common multiple is 24.
Let the number be x. When 8 and 6 divide into x, the remainder is 2. We know that the lowest number that both 8 and 6 divide into evenly is 24.
We must simply add the remainder to find the value for x:
x = 24 + 2 = 26.
125.
Choose the option that represents the best way to write the underlined portion of the sentence below.
You cannot drive down that road, the bridge is washed out.
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road; the bridge
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No change
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road the bridge
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road the bridge,
You cannot drive down that road; the bridge is washed out.
This sentence consists of two independent clauses, which should be joined using a semicolon. As it is written, it contains a comma splice, which is incorrect.
126.
The parallel sides of a trapezoid measure 12 inches and 6 inches, respectively. If the perpendicular height of the trapezoid is 9 inches, determine its area.
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81 square inches
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27 square inches
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162 square inches
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54 square inches
Correct answer: 81 square inches
Area = 1/2 height × sum of parallel lines
9 × 1/2 × (12 + 6) = 81 square inches.
127.
Find the slope of a line passing perpendicular to a line with the following equation:
-4y = -8x + 2
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-1/2
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2
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-2
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1/2
Correct answer: -1/2
The equation -4y = -8x + 2 is converted to the form y = mx + b.
-4y = -8x + 2; 4y = 8x − 2; y = 2x − 1/2.
Thus, the slope of this line is 2.
Since the slope of a perpendicular line is the negative reciprocal of the original line, the perpendicular line's slope is -1/2.
128.
Sara has some oranges. She sold 40% more than she ate. If she sold 70 oranges, how many did she eat?
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50 oranges
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25 oranges
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75 oranges
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100 oranges
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None of these
Correct answer: 50 oranges
Let x = the number of oranges that Sara ate.
Thus, x + 0.4x = 1.4x is the number of oranges that Sara sold.
Thus, 1.4x = 70
x = 70 ÷ 1.4
x = 50 oranges
129.
Choose the option that represents the best way to write the underlined portion of the sentence below.
By the late 1960s the Republican party was beginning to dominate the South.
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By the late 1960s,
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No change
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By the late 1960s;
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By the late, 1960s
By the late 1960s, the Republican party was beginning to dominate the South.
A comma is always used following a date or a period in time.
130.
How far away from (-5, 1) is its reflection about x = 0?
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10 units
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2 units
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1 unit
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4 unit
Correct answer: 10 units
The image of a general point (a,b) under reflection about x = 0 (y-axis), is (-a, b). Thus, the image of (-5, 1) will be (5, 1).
These points (-5, 1) and (5, 1) are on the same horizontal line y = 1.
Thus, the distance between them will be 5 − -5 = 5 + 5 = 10 units.
131.
Read the passage, and then answer the following question.
What species of penguin lives near the Equator?
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The Galapagos Penguin
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The Yucatan Penguin
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The Caribbean Penguin
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The Peruvian Penguin
Several species are found in the temperate region, and one species, the Galapagos Penguin, resides near the Equator.
In the last sentence of the second paragraph, the author of the passage states that the Galapagoes Penguin lives near the Equator. Other species of penguins live in either colder or more temperate climates.
132.
Find the intersection of the two sets {-1, 0, 1, 2, 3} and {0, 1, 2, ..., 8 , 9}.
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{0, 1, 2, 3}
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{-1, 0, 1, ..., 8, 9}
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{-1, 0}
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{3, 4, ..., 8, 9}
Correct answer: {0, 1, 2, 3}
The intersection of the set is the set having elements that are common to both sets {-1, 0, 1, 2, 3} and {0, 1, 2, ..., 8 , 9}.
The values both sets have in common are 0, 1, 2, and 3. Hence, the intersection is {0, 1, 2, 3}.
133.
Angles s and t lie on straight line. If s = 89°, find the size of angle t.
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91°
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1°
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81°
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101°
Correct answer: 91°
The sum of angles that lie on a straight line is 180°.
Hence, t + s = t + 89 = 180°.
t = 180 − 89 = 91°.
134.
Choose the option that represents the best way to write the underlined portion of the sentence below.
Switch cable providers, he said; and you'll see savings immediately.
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he said, and
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No change
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he said and:
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he said and
Switch cable providers, he said, and you'll see savings immediately.
Commas are used to set off expressions that interfere with the flow of a sentence. In this case, "he said" would be set off by commas.
135.
Choose the option that represents the best way to write the underlined portion of the sentence below.
A champion of animal rights, Yvonne has created a foundation to protect baby pandas.
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No change
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A champion of animal rights
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A champion of animal rights;
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A champion, of animal rights
A champion of animal rights, Yvonne has created a foundation to protect baby pandas.
An introductory phrase, such as "a champion of animal rights," is always followed by a comma.
136.
Read the passage, and then answer the following question.
Gingerols can be helpful in treating which of the following?
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Arthritis
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Hearing loss
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Psoriasis
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Gout
Ginger has potent anti-inflammatory compounds called gingerols that can have a positive influence on osteoarthritis and rheumatoid arthritis.
The second paragraph details the benefits of ginger for people who suffer from arthritis, as the gingerols are linked to improved mobility and decreased pain. Ginger has also been shown to help with migraine headaches and a vast array of other health problems.
137.
Read the passage, and then answer the following question.
According to the passage, a yearly festival honors the:
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Cahaba River lily
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Cahaba River
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Large variety of endangered animals in the Cahaba River
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Abandoned town of Cahaba, which is located on the river
Studied by biologists, celebrated by photographers, and honored each May with the Cahaba Lily Festival, the lily, more than perhaps any other species, represents the tenacity—and the fragility—of the river.
The last sentence in the passage states that there is a festival each May specifically to honor the Cahaba River lily. This coincides with their blooming season, which extends from May to mid-June.
138.
Choose the option that represents the best way to write the underlined portion of the sentence below.
Carly is not used to driving on ice, so she drove slow on her way to work.
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she drove slowly
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No change
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she drove more slow
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she drive slow
Carly is not used to driving on ice, so she drove slowly on her way to work.
Adverbs are used to describe a verb, in this case "drive." As it is used in the sentence, "slow" is an adjective. "Ly" should be added, making it an adverb, which is the correct usage.
139.
Choose the option that represents the best way to write the underlined portion of the sentence below.
She plans to spend a semester abroad in Madrid, Spain, next year.
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Madrid, Spain
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No change
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Madrid Spain,
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Madrid; Spain
She plans to spend a semester abroad in Madrid, Spain next year.
Commas are used to separate both the city and the country in a sentence.
140.
Express s in terms of p and q if pq/4 = s²/25.
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s = 5√(pq)/2
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s = 25pq/4
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s = 5√(pq)/4
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s = 25√(pq)/2
Correct answer: s = 5√(pq)/2
pq/4 = s²/25
Multiplying by 25, we have:
s² = 25 pq/4.
Finding the square root of both sides, we have:
√s² = s = √(25pq/4) = (√25√(pq))/√4 = 5√(pq)/2