ACCUPLACER Exam — Questions and Answers

Question 1: Erica bought 3 1 2 yards of fabric. If she uses 2 3 of the fabric to make a curtain, how much will she have left?

two and one third yards
one and one sixth yards
one third yard
one sixth yard (Correct answer)

Correct answer: one sixth yard

Erica bought 3 1/2 yards of fabric, which is equivalent to 7/2 yards. If she uses 2/3 of the fabric, the fraction of fabric she has left is 1 - 2/3 = 1/3. To find the actual amount left, multiply this remaining fraction by the total fabric: (1/3) × (7/2) = 7/6 yards. This is equivalent to 1 and 1/6 yards, not one sixth yard.

Question 2: A soccer team played 160 games and won 65 percent of them. How many games did the team win?

94 (Correct answer)
124
104
114

Correct answer: 94

To find 65 percent of 160 games, convert the percentage to a decimal (0.65) and multiply it by the total number of games. So, 0.65 × 160 = 104. The team won 104 games. Option A (94) is incorrect, likely resulting from a calculation error such as multiplying 0.65 by 145 or a similar mistake.

Question 3: A function is defined as f(x) = −2x + 7. Over which interval is f(x) > 0?

x > 7
x > 7/2
x < −7/2
x < 7/2 (Correct answer)

Correct answer: x < 7/2

Set −2x + 7 > 0 → −2x > −7 → x < 7/2 (inequality flips when dividing by a negative).

Question 4: A store sells a jacket for $120 after applying a 20% discount. What was the original price?

$144
$160
$150 (Correct answer)
$140

Correct answer: $150

If $120 is 80% of the original price, divide $120 by 0.80 to get $150.

Question 5: Read: 'The instructions were so vague that no one knew what to do.' What does 'vague' mean?

Clear
Detailed
Unclear (Correct answer)
Loud

Correct answer: Unclear

'Vague' means not clearly expressed, which is why no one understood.

Question 6: Solve for x: 5x − 3 = 2x + 9

x = 2
x = 6
x = 4 (Correct answer)
x = 3

Correct answer: x = 4

Subtract 2x from both sides to get 3x − 3 = 9, then add 3 and divide by 3 to find x = 4.

Question 7: What is the best version of the underlined part of this sentence? One of the choices involves leaving the sentence as it is written.New haircut and glasses despited<\/u>, she was recognized by people wherever she went.

In spite of her new haircut and glasses, (Correct answer)
Her new haircut and glasses despite,
In spite, her new haircut and glasses,
Her new haircut and glasses despited,

Correct answer: In spite of her new haircut and glasses,

The original phrase 'New haircut and glasses despited' is grammatically incorrect because 'despited' is not a word. The correct idiomatic expression to introduce a contrasting element is 'in spite of' or 'despite'. Option B, 'In spite of her new haircut and glasses,' correctly uses this idiom to convey that she was recognized even with changes to her appearance.

Question 8: The largest angle in a triangle is 90 degrees. If one of the other angles is greater than or equal to 60 degrees, what is the largest possible measure of the third angle?

35 degrees
30 degrees (Correct answer)
25 degrees
40 degrees

Correct answer: 30 degrees

The sum of angles in any triangle is 180 degrees. Given one angle is 90 degrees, the sum of the other two angles must be 180 - 90 = 90 degrees. If one of the other angles is greater than or equal to 60 degrees, to find the largest possible measure of the third angle, we must make the second angle as small as possible, which is 60 degrees. Therefore, the third angle would be 90 - 60 = 30 degrees.

Question 9: –3(5 – 6) – 4(2 – 3) =

–1
7 (Correct answer)
1
–7

Correct answer: 7

Follow the order of operations (PEMDAS/BODMAS). First, evaluate the expressions inside the parentheses: (5 – 6) = –1 and (2 – 3) = –1. The expression becomes –3(–1) – 4(–1). Next, perform the multiplications: –3(–1) = 3 and –4(–1) = 4. Finally, perform the subtraction: 3 – (–4) which simplifies to 3 + 4 = 7.

Question 10: What is the best version of the underlined part of this sentence? One of the choices involves leaving the sentence as it is written. When my brother and I were children, we found five kittens hided under our porch<\/u>.

we found five kittens hidden under our porch (Correct answer)
five kittens that were hid under the porch, we found them
he found five kittens hided under our porch
we found the five kittens, hiding as they were under the porch

Correct answer: we found five kittens hidden under our porch

The original sentence uses the incorrect past participle 'hided.' The correct past participle of the verb 'to hide' is 'hidden.' Option D, 'we found five kittens hidden under our porch,' correctly uses 'hidden' to describe the state of the kittens, making the sentence grammatically sound and clear.

Question 11: Which inequality is represented by the statement 'twice a number is at most 14'?

2n > 14
2n ≤ 14 (Correct answer)
2n ≥ 14
2n < 14

Correct answer: 2n ≤ 14

'At most 14' means less than or equal to 14, so the inequality is 2n ≤ 14.

Question 12: The word 'meticulous' most nearly means:

Generous
Careless and rushed
Very careful about details (Correct answer)
Loud and forceful

Correct answer: Very careful about details

'Meticulous' describes someone extremely precise and detail-oriented.

Question 13: \t Samuel Morse, best known today as the inventor of Morse Code and one of the inventors of the telegraph, was originally a prominent painter. While he was always interested in technology and studied electrical engineering in college, Morse went to Paris to learn from famous artists of his day and later painted many pictures that now hang in museums, including a portrait of former President John Adams. In 1825, Morse was in Washington, D.C., painting a portrait of the Marquis de Lafayette when a messenger arrived on horseback to tell him that his wife was gravely ill back at his home in Connecticut. The message had taken several days to reach him because of the distance. Morse rushed to his home as fast as he could, but his wife had already passed away by the time he arrived. Grief-stricken, he gave up painting and devoted the rest of his life to finding ways to transmit messages over long distances faster. Morse left the art world and helped to invent the telegraph because he

experienced a personal tragedy in his life (Correct answer)
wanted to communicate with people far away
was tired of painting
was fascinated by science

Correct answer: experienced a personal tragedy in his life

The passage clearly states that Samuel Morse, originally a painter, gave up art and devoted his life to inventing the telegraph after a personal tragedy. His wife died because a message about her illness took too long to reach him. This profound personal loss directly motivated his pursuit of faster long-distance communication.

Question 14: What are the solutions to x² − 5x + 6 = 0?

x = −1 and x = −6
x = 1 and x = 6
x = 2 and x = 3 (Correct answer)
x = −2 and x = −3

Correct answer: x = 2 and x = 3

Factor as (x − 2)(x − 3) = 0, giving x = 2 and x = 3.

Question 15: What is the period of the function y = cos(πx)?

1
2 (Correct answer)
π
2π

Correct answer: 2

Period = 2π ÷ B = 2π ÷ π = 2.

Question 16: If y = 2x + 5 and x = −3, what is y?

−1 (Correct answer)
−11
1
11

Correct answer: −1

Substitute x = −3: y = 2(−3) + 5 = −6 + 5 = −1.

Question 17: What is 6 × 1 1/2?

9 (Correct answer)
6 1/2
7 1/2
8

Correct answer: 9

6 × 3/2 = 18/2 = 9.

Question 18: Read: 'The detective examined every clue meticulously.' What does 'meticulously' mean?

Rarely
Quickly
Carelessly
Very carefully (Correct answer)

Correct answer: Very carefully

'Meticulously' means with great attention to detail and care.

Question 19: Which BEST describes the 'focus' criterion in WritePlacer scoring?

The essay is exactly the required minimum length
The essay discusses many different topics to show broad knowledge
The essay consistently stays on the assigned topic and supports its thesis (Correct answer)
The essay uses a narrow vocabulary to maintain consistency

Correct answer: The essay consistently stays on the assigned topic and supports its thesis

Focus in WritePlacer scoring means the essay consistently addresses the assigned prompt and maintains a clear central argument throughout without straying to unrelated topics.

Question 20: An author writes mostly about the harmful effects of a new law, then briefly notes one benefit. What is the author's primary purpose?

To criticize the law (Correct answer)
To define the law
To compare two laws
To praise the law

Correct answer: To criticize the law

Emphasis on harmful effects shows the purpose is to criticize.

Question 21: Which of the following is equivalent to the expression 3x² − 12x?

3x(x − 4)
3(x² − 4x)
3x(x + 4)
Both A and B (Correct answer)

Correct answer: Both A and B

Factor out 3x to get 3x(x − 4), which equals 3(x² − 4x), so both A and B are correct.

Question 22: I missed the original broadcast of my favorite TV show, but luckily I was able to watch a repeat showing at 11. What happened at 11?

The TV show came on again. (Correct answer)
An episode from an earlier season came on.
A good movie came on TV.
A similar show came on.

Correct answer: The TV show came on again.

A 'repeat showing' explicitly means that a television program or movie is broadcast again after its initial airing. The speaker missed the 'original broadcast' and was able to watch a 'repeat showing,' indicating the same TV show was aired again.

Question 23: What is the domain of f(x) = 1/(x − 4)?

All real numbers
x ≠ 4 (Correct answer)
x > 4
x ≠ −4

Correct answer: x ≠ 4

The function is undefined when the denominator equals zero, i.e., when x = 4, so the domain is all real numbers except 4.

Question 24: Linda has a bag that is filled 2<\/sup>&frasl;3<\/sub> of the way with candy. If she takes out 1<\/sup>&frasl;4<\/sub> of the candy and gives it to her brother, what fraction of the bag will be filled with candy?

5<\/sup>&frasl;6<\/sub>
1<\/sup>&frasl;3<\/sub>
1<\/sup>&frasl;2<\/sub> (Correct answer)
1<\/sup>&frasl;4<\/sub>

Correct answer: 1<\/sup>&frasl;2<\/sub>

Linda's bag is 2/3 full. She takes out 1/4 *of the candy*, meaning 1/4 of the 2/3. So, the amount taken out is (1/4) * (2/3) = 2/12 = 1/6 of the bag. To find the remaining candy, subtract the amount taken out from the initial amount: 2/3 - 1/6. Convert 2/3 to 4/6, then 4/6 - 1/6 = 3/6, which simplifies to 1/2. Thus, 1/2 of the bag will be filled with candy.

Question 25: What is the sum of 0.25 + 0.5 + 0.125?

0.75
0.875 (Correct answer)
1.25
0.925

Correct answer: 0.875

0.25 + 0.5 + 0.125 = 0.875.

Question 26: Which of the following is a rational number?

π
√9 (Correct answer)
√5
√2

Correct answer: √9

√9 = 3, which is an integer and therefore a rational number.

Question 27: 22.46 + 2.005 + 0.7 =

26.145
25.165 (Correct answer)
22.025
261.65

Correct answer: 25.165

To add decimals, align the numbers vertically by their decimal points. It's helpful to add trailing zeros so all numbers have the same number of decimal places: 22.460 + 2.005 + 0.700. Then, add each column from right to left, carrying over when necessary. The sum of these numbers is 25.165.

Question 28: A bag contains 3 red, 5 blue, and 2 green marbles. What is the probability of randomly selecting a blue marble?

3/10
1/5
2/5
1/2 (Correct answer)

Correct answer: 1/2

There are 5 blue marbles out of 10 total, giving a probability of 5/10 = 1/2.

Question 29: \t In the words of Thomas De Quincey, “It is notorious that the memory strengthens as you lay burdens upon it.” If, like most people, you have trouble recalling the names of those you have just met, try this: The next time you are introduced, plan to remember the names. Say to yourself, “I’ll listen carefully; I’ll repeat each person’s name to be sure I have it, and I will remember.” You’ll discover how effective this technique is and probably recall those names for the rest of your life. The passage suggests that people remember names best when they

are intelligent
. are interested in people
meet new people
decide to do so (Correct answer)

Correct answer: decide to do so

The passage directly advises readers to 'plan to remember the names' and to consciously decide to listen, repeat, and actively intend to recall them. It suggests that this deliberate decision and mental commitment are the keys to improving memory for names. Therefore, remembering names best occurs when people make a conscious choice to do so.

Question 30: Select the correct verb form: If I ___ rich, I would travel.

was
were (Correct answer)
be
am

Correct answer: were

"Were" is used in hypothetical conditional sentences with "if."

Question 31: 6<\/sup>⁄7<\/sub> ÷ 1<\/sup>⁄8<\/sub> =

6 6<\/sup>&frasl;7<\/sub> (Correct answer)
44<\/sup>&frasl;7<\/sub>
5 4<\/sup>&frasl;7<\/sub>
6<\/sup>&frasl;56<\/sub>

Correct answer: 6 6<\/sup>&frasl;7<\/sub>

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/8 is 8/1. So, the problem becomes 6/7 * 8/1. Multiply the numerators (6 * 8 = 48) and the denominators (7 * 1 = 7) to get 48/7. Converting this improper fraction to a mixed number, 48 divided by 7 is 6 with a remainder of 6, resulting in 6 6/7.

Question 32: Solve the system: 2x + y = 7 and x − y = 2.

x = 3, y = 1 (Correct answer)
x = 1, y = 5
x = 2, y = 3
x = 4, y = −1

Correct answer: x = 3, y = 1

Add the two equations to eliminate y: 3x = 9, so x = 3; then y = 7 − 2(3) = 1.

Question 33: Which of the following is an example of a run-on sentence?

She studied hard, and she passed the exam.
The cat sat on the mat.
He likes pizza she prefers pasta. (Correct answer)
Although it was raining, we went outside.

Correct answer: He likes pizza she prefers pasta.

'He likes pizza she prefers pasta' is a run-on sentence because two independent clauses are joined without any punctuation or coordinating conjunction.

Question 34: What is the best version of the underlined part of this sentence? One of the choices involves leaving the sentence as it is written. Jodie was determined to try snorkeling and surfing in what was to be<\/u> a fun-filled vacation.

in what is
in what she thinks will be
in what was to be (Correct answer)
in what becomes

Correct answer: in what was to be

The phrase 'in what was to be' correctly sets up an expectation or future event from a past perspective. Since the main clause 'Jodie was determined to try snorkeling and surfing' is in the past tense, the phrase describing the vacation should also reflect a past perspective on a future event. The original phrasing maintains this consistent tense and meaning.

Question 35: What is the amplitude of y = 4sin(2x)?

8
π
2
4 (Correct answer)

Correct answer: 4

The amplitude of y = A·sin(Bx) is |A|, which is 4.

Question 36: For x > 0, 3y⁄x - y⁄2x + 2y⁄4x =

4y⁄3x
3y⁄x (Correct answer)
12y⁄x
4y⁄x

Correct answer: 3y⁄x

To combine these fractions, first simplify the third term: 2y/4x simplifies to y/2x. Now the expression is 3y/x - y/2x + y/2x. The terms -y/2x and +y/2x cancel each other out. Therefore, the simplified expression is simply 3y/x.

Question 37: What does "essential" mean in: "Water is essential for life"?

rare
necessary (Correct answer)
optional
harmful

Correct answer: necessary

"Essential" means absolutely necessary or required.

Question 38: If a passage's main idea is implied rather than stated, the reader must:

Find it in the title only
Ignore the supporting facts
Infer it from details (Correct answer)
Skip the passage

Correct answer: Infer it from details

An implied main idea is drawn from clues across the passage.

Question 39: Which is the clearest rewrite of: "The book that was written by the author who won the prize sold well."

The book sold well, written by the prize-winning author.
The book sold well that the author wrote who won.
The prize-winning author's book sold well. (Correct answer)
The book, written by who won the prize, sold well.

Correct answer: The prize-winning author's book sold well.

Condensing the clauses into a possessive phrase makes the sentence clear and concise.

Question 40: \t Dr. Ellen Ochoa is an inventor and is also the first female Hispanic astronaut. Her inventions include technology to help robots inspect equipment in space to maintain safety and quality control on spacecraft. Before retiring, she logged more than 1,000 hours in space across several space missions. According to the passage, Dr. Ochoa is the first

Hispanic woman to travel into space (Correct answer)
Hispanic person to travel into space
inventor to travel into space
woman to travel into space

Correct answer: Hispanic woman to travel into space

The passage clearly states, "Dr. Ellen Ochoa is an inventor and is also the first female Hispanic astronaut." This sentence directly identifies her as the first woman of Hispanic descent to achieve the status of an astronaut and travel into space.

Question 41: (x2+ 8x + 15)⁄(x + 3) =

(x−3)
(x+5) (Correct answer)
(x−5)
(x+2)

Correct answer: (x+5)

To simplify this rational expression, factor the quadratic in the numerator. We need two numbers that multiply to 15 and add to 8, which are 3 and 5. So, x^2 + 8x + 15 factors into (x+3)(x+5). Now, the expression becomes [(x+3)(x+5)] / (x+3). Since (x+3) is in both the numerator and denominator, they cancel out, leaving (x+5).

Question 42: There are 3 people who work full-time and are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. If one of the people is budgeted for 1 of his time to the project 2 and a second person for 1 3 of her time, what part of the third worker’s time should be budgeted to this project?

1\/8
1\/3
1\/6 (Correct answer)
3\/5

Correct answer: 1\/6

The total project time is equivalent to one full-time person, represented as 1. The first two workers contribute 1/2 + 1/3 of their time. To add these fractions, find a common denominator (6), resulting in 3/6 + 2/6 = 5/6. To find the third worker's contribution, subtract this sum from the total: 1 - 5/6 = 6/6 - 5/6 = 1/6.

Question 43: What is the y-intercept of the function f(x) = 3x² − 4x + 2?

−4
0
3
2 (Correct answer)

Correct answer: 2

The y-intercept occurs at x = 0: f(0) = 3(0) − 4(0) + 2 = 2.

Question 44: 0.65 x 0.33 =

2.145
0.2145 (Correct answer)
0.4465
4.465

Correct answer: 0.2145

To multiply decimals, first multiply the numbers without considering the decimal points: 65 multiplied by 33 equals 2145. Then, count the total number of decimal places in the original numbers (0.65 has two, and 0.33 has two, for a total of four). Place the decimal point in the product so there are four decimal places, which gives 0.2145.

Question 45: Simplify: √(75)

5√3 (Correct answer)
15√3
3√5
5√15

Correct answer: 5√3

75 = 25 × 3, so √75 = √25 · √3 = 5√3.

Question 46: Solve for x: |2x − 3| = 7

x = 5 only
x = −2 only
x = 2 or x = −5
x = 5 or x = −2 (Correct answer)

Correct answer: x = 5 or x = −2

Set 2x − 3 = 7 giving x = 5, and 2x − 3 = −7 giving x = −2.

Question 47: What is the value of 4³ ÷ 2²?

32
16 (Correct answer)
8
4

Correct answer: 16

4³ = 64 and 2² = 4, so 64 ÷ 4 = 16.

Question 48: What can you infer from: 'He grabbed his umbrella before leaving the house'?

He expected rain (Correct answer)
He was late
It was sunny
He forgot his keys

Correct answer: He expected rain

Taking an umbrella suggests he anticipated rain.

Question 49: Choose the correct word for the blank in this sentence: General Carter held strategy meetings ____ his most trusted advisors to help him decide the best plan of action.

around
without
with (Correct answer)
about

Correct answer: with

When someone holds strategy meetings and involves others in the discussion, they typically do so 'with' those individuals. The preposition 'with' indicates collaboration, participation, or accompaniment. This accurately describes General Carter's interaction with his trusted advisors.

Question 50: A recipe uses 2.5 cups of flour for 12 cookies. How many cups are needed for 36 cookies?

7 cups
7.5 cups (Correct answer)
8 cups
6 cups

Correct answer: 7.5 cups

36 ÷ 12 = 3, so multiply 2.5 × 3 = 7.5 cups.

Question 51: What is 5/6 ÷ 5/12?

25/72
10/6
2 (Correct answer)
1/2

Correct answer: 2

5/6 × 12/5 = 60/30 = 2.

Question 52: What is the average of 12, 18, and 30?

22
18
60
20 (Correct answer)

Correct answer: 20

(12 + 18 + 30) ÷ 3 = 60 ÷ 3 = 20.

Question 53: Choose the word that best completes the sentence: "Despite the heavy rain, the players were _____ to finish the game."

forbidden
unaware
reluctant
determined (Correct answer)

Correct answer: determined

"Determined" fits the contrast signaled by "despite," showing strong will to continue.

Question 54: Which sentence correctly uses "who" or "whom"?

Whom is at the door?
To who should I give the form?
To whom should I give the form? (Correct answer)
Who did you give it to whom?

Correct answer: To whom should I give the form?

"Whom" is the object of the preposition "to."

Question 55: What are the roots of the polynomial (x+1)(x2−x−6) = 0?

−1,2 and 3
1,−2 and 3
1,2 and −3
−1,−2 and 3 (Correct answer)

Correct answer: −1,−2 and 3

To find the roots, set each factor equal to zero. From (x+1)=0, we get x=-1. For the quadratic factor, x^2 - x - 6 = 0, factor it into (x-3)(x+2) = 0. Setting each of these factors to zero gives x-3=0 (so x=3) and x+2=0 (so x=-2). Therefore, the roots are -1, -2, and 3.

Question 56: What is the best version of the underlined part of this sentence? One of the choices involves leaving the sentence as it is written. Coal mining has a long tradition but is currently <\/u>firing under from heightened political scrutiny.

under fire from (Correct answer)
firing under from
under fire until
fired under

Correct answer: under fire from

The original phrase 'firing under from' is an incorrect and nonsensical idiom. The correct idiomatic expression to convey that something is facing criticism or intense scrutiny is 'under fire from.' Option C, 'under fire from,' accurately uses this idiom to describe the situation of coal mining.

Question 57: Which of the following is a zero of f(x) = x³ − x² − 6x?

x = 4
x = −2
x = 3 (Correct answer)
x = 1

Correct answer: x = 3

Factor: x(x² − x − 6) = x(x − 3)(x + 2), so zeros are x = 0, x = 3, and x = −2.

Question 58: Convert the decimal 0.6 to a fraction in lowest terms.

2/3
1/6
6/100
3/5 (Correct answer)

Correct answer: 3/5

0.6 = 6/10, which reduces to 3/5.

Question 59: Which value of x satisfies 2^(x+1) = 16?

x = 3 (Correct answer)
x = 2
x = 5
x = 4

Correct answer: x = 3

16 = 2⁴, so 2^(x+1) = 2⁴ means x + 1 = 4, giving x = 3.

Question 60: Television has been introduced to almost every country in the world, reaching a large number of viewers on every continent. About 600 million people saw the first person walk on the moon, and a billion people watched the twentieth Olympic Games. Television has in many ways promoted understanding and cooperation among people. It does this by showing educational and cultural programs. From this passage, a reader can most reasonably conclude that the author believes that

television is as important as schools (Correct answer)
not every country needs to have television
television can unify people from around the world
people spend too much time watching television

Correct answer: television is as important as schools

The passage highlights television's global reach and its capacity to show "educational and cultural programs" that "promoted understanding and cooperation among people." By emphasizing its role in widespread education and fostering global understanding, the author implicitly places television in a foundational role for societal development and knowledge dissemination, much like schools. The sheer number of people who witnessed significant global events via television also underscores its power as a universal educator and unifier.

Question 61: Glancing at his watch, Daniel picked up his speed.

Glancing at his watch, (Correct answer)
He glanced at his watch, and
He glanced at his watch,
To glance at his watch,

Correct answer: Glancing at his watch,

The original sentence uses a participial phrase, 'Glancing at his watch,' which correctly modifies the subject 'Daniel.' This construction is grammatically sound and avoids a dangling modifier, clearly indicating that Daniel is the one performing the action of glancing. It creates a concise and effective way to combine two related actions performed by the same subject.

Question 62: Social studies classes focus on the complexity of our social environment. The subject combines the study of history and the social sciences and promotes skills in citizenship. What does the second sentence do?

It expands on the first sentence. (Correct answer)
It proposes a solution.
It makes a contrast.
It states an effect.

Correct answer: It expands on the first sentence.

The first sentence makes a general statement about the focus of social studies classes. The second sentence then elaborates on this by specifying what the subject combines (history and social sciences) and what skills it promotes (citizenship). This provides more detail and depth to the initial statement, thus expanding on it.

Question 63: The word 'ambiguous' most nearly means:

Clearly defined
Extremely long
Brightly colored
Open to multiple interpretations (Correct answer)

Correct answer: Open to multiple interpretations

'Ambiguous' describes something unclear or having more than one meaning.

Question 64: What is the average of 8, 12, and 16?

16
12 (Correct answer)
14
10

Correct answer: 12

The sum is 36, and 36 / 3 = 12.

Question 65: Joan bought a new rectangular carpet for her living room. The carpet is 8.5 feet long and 10 feet wide, the area of the room is 20% larger than that of the carpet. What is the area of the room?

98 square feet
102 square feet (Correct answer)
100 square feet
104 square feet

Correct answer: 102 square feet

First, calculate the area of the carpet: 8.5 feet * 10 feet = 85 square feet. The area of the room is 20% larger than the carpet's area. To find this, calculate 20% of 85 (0.20 * 85 = 17) and add it to the carpet's area: 85 + 17 = 102 square feet. Alternatively, multiply 85 by 1.20 (representing 100% + 20%), which also gives 102 square feet.

Question 66: Simplify: (x³ · x²) ÷ x⁴

x²
x³
x⁴
x (Correct answer)

Correct answer: x

Multiply exponents in the numerator: x³ · x² = x⁵, then x⁵ ÷ x⁴ = x¹ = x.

Question 67: Graph of f(x) crosses the x-axis at x = −2 and x = 4. Which is a possible equation?

f(x) = (x + 2)(x − 4) (Correct answer)
f(x) = (x + 2)(x + 4)
f(x) = (x − 2)(x − 4)
f(x) = (x − 2)(x + 4)

Correct answer: f(x) = (x + 2)(x − 4)

Setting x + 2 = 0 gives x = −2 and x − 4 = 0 gives x = 4, matching both x-intercepts.

Question 68: Evaluate: log₂(32)

8
5 (Correct answer)
4
6

Correct answer: 5

2⁵ = 32, so log₂(32) = 5.

Question 69: Paris, France, is a city that has long been known as a center of artistic and cultural expression. In the 1920s, Paris was home to many famous artists and writers from around the world, such as Picasso and Hemingway. What does the second sentence do?

It reinforces the first (Correct answer)
It draws a conclusion.
It provides a contrast.
It states an effect.

Correct answer: It reinforces the first

The first sentence asserts that Paris is known as a center of artistic and cultural expression. The second sentence then provides specific historical evidence, mentioning that in the 1920s, Paris was home to many famous artists and writers like Picasso and Hemingway. This specific example strongly supports and confirms the general claim made in the first sentence, thereby reinforcing it.

Question 70: In a passage, a scientist is repeatedly called 'a tireless seeker of truth.' This characterization is meant to make the reader view her as:

Lazy and careless
Admirable and dedicated (Correct answer)
Dishonest
Indifferent

Correct answer: Admirable and dedicated

Calling her tireless and truth-seeking presents her positively.

Question 71: What is the best version of the underlined part of this sentence? One of the choices involves leaving the sentence as it is written. To change with the times<\/u>, the company began to manufacture and sell new products.

To change with the times (Correct answer)
They are changing with the times
They did not change with the times
The changing of the times

Correct answer: To change with the times

The original sentence is grammatically correct and effectively uses an infinitive phrase, 'To change with the times,' to express the purpose of the company's actions. This construction is concise and clear. The other options introduce grammatical errors or change the intended meaning, making the original the best choice.

Question 72: Divide: 5 1/2 ÷ 1/4.

11/8
20
22 (Correct answer)
1 3/8

Correct answer: 22

11/2 ÷ 1/4 = 11/2 × 4 = 44/2 = 22.

Question 73: What is the slope of the line passing through (2, 3) and (6, 11)?

4
3
1
2 (Correct answer)

Correct answer: 2

Slope = (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.

Question 74: What is the mode of the data set: 5, 8, 3, 8, 7, 5, 8?

8 (Correct answer)
7
3
5

Correct answer: 8

The number 8 appears three times, more than any other value, making it the mode.

Question 75: If you hold a piece of copper wire over the flame of a wooden match, heat will be conducted by the copper wire to your fingers, and you will be forced to drop the wire. You will, however, still be able to hold the match because wood is a poor conductor of heat. Which of the following is implied in the passage above?

Wood is an excellent conductor of heat.
Copper is a good conductor of heat (Correct answer)
\t Wood and copper conduct heat equally
Matches should be made of copper.

Correct answer: Copper is a good conductor of heat

The passage describes how holding a copper wire over a flame will cause heat to be conducted to your fingers, forcing you to drop it. In contrast, you can still hold the wooden match because "wood is a poor conductor of heat." This direct comparison implies that copper must be a good conductor of heat for the heat to transfer so quickly and intensely to your fingers.

Question 76: Read: 'Although she was exhausted, she finished the marathon.' What does this sentence show about her?

She never ran
She gave up
She showed perseverance (Correct answer)
She was lazy

Correct answer: She showed perseverance

Finishing despite exhaustion shows perseverance.

Question 77: Which of the following is the inverse function of f(x) = 3x − 6?

f⁻¹(x) = x/3 − 6
f⁻¹(x) = 3x + 6
f⁻¹(x) = (x + 6)/3 (Correct answer)
f⁻¹(x) = (x − 6)/3

Correct answer: f⁻¹(x) = (x + 6)/3

Swap x and y in y = 3x − 6, then solve for y: x = 3y − 6 → y = (x + 6)/3.

Question 78: Which scatterplot description indicates a strong negative correlation?

Points cluster along a line sloping upward
Points form a U shape
Points are randomly scattered
Points cluster tightly along a line sloping downward (Correct answer)

Correct answer: Points cluster tightly along a line sloping downward

A strong negative correlation means data points fall close to a downward-sloping line.

Question 79: The Institute for Public Learning (IPL) was founded in the late 20th century. Which year might the IPL have been founded?

2010
1950
1985 (Correct answer)
1898

Correct answer: 1985

The 20th century spans from the year 1901 to 2000. The 'late 20th century' refers to the latter decades of this period. Among the given options, 1985 falls within this timeframe, specifically in the latter half of the century.

Question 80: The mean of five numbers is 10. Four of the numbers are 8, 11, 9, and 12. What is the fifth number?

8
10 (Correct answer)
12
11

Correct answer: 10

The sum must be 5 × 10 = 50; subtracting the four known values: 50 − 40 = 10.

Question 81: What is the vertex of the parabola y = (x − 3)² + 5?

(3, −5)
(−3, 5)
(3, 5) (Correct answer)
(−3, −5)

Correct answer: (3, 5)

In vertex form y = (x − h)² + k, the vertex is (h, k) = (3, 5).

Question 82: 4(| − 3 − 2|) − 5 =

7
11
-25
15 (Correct answer)

Correct answer: 15

First, calculate the value inside the absolute value bars: -3 - 2 equals -5. The absolute value of -5 is 5. Next, multiply this result by 4, which gives 20. Finally, subtract 5 from 20 to get the final answer of 15.

Question 83: What is 9.5 − 3.75?

6.25
6.75
5.75 (Correct answer)
5.25

Correct answer: 5.75

9.50 - 3.75 = 5.75.

Question 84: Unemployment was the overriding fact of life when Franklin D. Roosevelt became president of the United States on March 4, 1933. At the time, the government did not systematically collect statistics of joblessness; actually it did not start doing so until 1940. The Bureau of Labor Statistics later estimated that 12,830,000 persons were out of work in 1933, about one-fourth of a civilian labor force of more than 51 million. Roosevelt signed the Federal Emergency Relief Act on May 12, 1933. The president selected Harry L. Hopkins, who headed the New York relief program, to run FERA. A gifted administrator, Hopkins quickly put the program into high gear. He gathered a small staff in Washington and brought the state relief organizations into the FERA system. While the agency tried to provide all the necessities, food came first. City dwellers usually got an allowance for fuel, and rent for one month was provided in case of eviction. This passage is primarily about

President Franklin D. Roosevelt’s presidency
methods of estimating unemployment rates in the 1930s
the effect of unemployment on United States families
the creation of President Roosevelt’s FERA program (Correct answer)

Correct answer: the creation of President Roosevelt’s FERA program

The passage begins by setting the scene of high unemployment and Franklin D. Roosevelt's presidency, but its primary focus quickly shifts. It then details the signing of the Federal Emergency Relief Act (FERA), the appointment of Harry L. Hopkins to lead it, and how the program was quickly put into action to provide necessities. Therefore, the main subject is the establishment and initial implementation of the FERA program.

Question 85: Which expression is equivalent to (2x³y²)²?

4x⁶y²
4x⁶y⁴ (Correct answer)
4x⁵y⁴
2x⁶y⁴

Correct answer: 4x⁶y⁴

Square each factor: 2² = 4, (x³)² = x⁶, (y²)² = y⁴, giving 4x⁶y⁴.

Question 86: The new Governor of Maryland won the election by a landslide, to the surprise of many voters. By how many votes did the new Maryland Governor win the election?

by just a few votes
it was a tie
by very many votes (Correct answer)
by a moderate number of votes

Correct answer: by very many votes

Winning an election 'by a landslide' is an idiom that means winning with an overwhelming majority of votes. It signifies a decisive victory where the winning candidate receives significantly more votes than their opponents. Therefore, the Governor won by very many votes.

Question 87: The wheel is considered one of the most important mechanical inventions of all time. Many technologies since the invention of the wheel have been based on its principles, and since the industrial revolution, the wheel has been a basic element of nearly every machine constructed by humankind. No one knows the exact time and place of the invention of the wheel, but its beginnings can be seen across many ancient civilizations. The passage suggests that the wheel is an important invention because it

is one the world’s most famous inventions
can be traced to many ancient cultures
is one of the world’s oldest inventions
forms the basis of so many later inventions (Correct answer)

Correct answer: forms the basis of so many later inventions

The passage emphasizes the wheel's importance by stating that 'Many technologies since the invention of the wheel have been based on its principles' and that it is a 'basic element of nearly every machine constructed by humankind.' This highlights its foundational role in subsequent mechanical innovations. Its significance stems from its influence on countless later inventions.

Question 88: A pair of pants is on sale for $48.00. If the pants are 25% off, what was the original price?

$60.00
$64.00 (Correct answer)
$56.00
$54.00

Correct answer: $64.00

If the pants are 25% off, the sale price of $48.00 represents 100% - 25% = 75% of the original price. To find the original price, divide the sale price by 0.75 (which is 75% as a decimal). So, $48.00 / 0.75 = $64.00.

Question 89: What is the best version of the underlined part of this sentence? One of the choices involves leaving the sentence as it is written. Maggie was so intelligent that to choose between a degree in the fields of anthropology, economics, and to study law<\/u> was a difficult proposition.

anthropology, economics, and to become a lawyer
anthropology, economics, and to study law
anthropologist, economist, and lawyer
anthropology, economics, and law (Correct answer)

Correct answer: anthropology, economics, and law

The sentence requires parallel structure for the list of fields of study: 'anthropology, economics, and law.' The original phrase 'anthropology, economics, and to study law' breaks this parallelism by mixing nouns with an infinitive phrase. Option A, 'anthropology, economics, and law,' correctly lists three nouns, ensuring consistent grammatical form within the series.

Question 90: If f(x) = x² + 1 and g(x) = 2x, what is f(g(3))?

19
49
13
37 (Correct answer)

Correct answer: 37

g(3) = 6, then f(6) = 6² + 1 = 37.

Question 91: Kazuko took her dog for a walk. They went to the park.

Kazuko and her dog went to the park, where she and the dog walked.
Kazuko took her dog for a walk because they went to the park
Kazuko, going to the park, took her dog for a walk.
Kazuko took her dog for a walk to the park. (Correct answer)

Correct answer: Kazuko took her dog for a walk to the park.

This question tests sentence combining for conciseness and clarity. Option B effectively combines the two original sentences by using a prepositional phrase ("to the park") to indicate the destination of the walk. This creates a single, grammatically correct, and more efficient sentence without losing any information or changing the meaning.

Question 92: 9<\/sup>&frasl;5<\/sub> - 2<\/sup>&frasl;3<\/sub> =

7<\/sup>&frasl;2<\/sub>
11<\/sup>&frasl;5<\/sub>
17<\/sup>&frasl;15<\/sub> (Correct answer)
12<\/sup>&frasl;15<\/sub>

Correct answer: 17<\/sup>&frasl;15<\/sub>

To subtract fractions with different denominators, first find a common denominator. For 9/5 and 2/3, the least common multiple of 5 and 3 is 15. Convert the fractions: 9/5 becomes 27/15 (multiply numerator and denominator by 3), and 2/3 becomes 10/15 (multiply numerator and denominator by 5). Now, subtract the new fractions: 27/15 - 10/15 = 17/15. This is an improper fraction and can be left as such or converted to a mixed number (1 2/15).

Question 93: Which sentence places the modifier "only" correctly to mean she ate nothing but salad?

She ate the salad only her.
Only she ate the salad.
She ate only the salad. (Correct answer)
She only ate the salad.

Correct answer: She ate only the salad.

Placing "only" before "the salad" limits what she ate.

Question 94: Which detail would best support a main idea that 'exercise improves memory'?

A study showing runners scored higher on recall tests (Correct answer)
A list of popular running shoes
A recipe for a sports drink
A history of the Olympic Games

Correct answer: A study showing runners scored higher on recall tests

A study linking running to better recall directly supports the claim.

Question 95: Read: 'The novel received glowing reviews from critics worldwide.' What does 'glowing' mean here?

Negative
Shining with light
Confusing
Very positive (Correct answer)

Correct answer: Very positive

In this context 'glowing' means highly favorable or very positive.

Question 96: Which equation represents exponential decay?

y = 3(0.8)ˣ (Correct answer)
y = 5 + 2x
y = 2(1.5)ˣ
y = x²

Correct answer: y = 3(0.8)ˣ

A base between 0 and 1 (like 0.8) causes the function to decrease, representing exponential decay.

Question 97: A swimming pool is being filled at a rate of 530 gallons per hour. How many gallons of water will be in the pool after 2 hours and 30 minutes?

1,280 gallons
1,060 gallons
1,540 gallons
1,325 gallons (Correct answer)

Correct answer: 1,325 gallons

First, convert 2 hours and 30 minutes into hours: 30 minutes is 0.5 hours, so the total time is 2.5 hours. Then, multiply the filling rate by the total time to find the total gallons. 530 gallons/hour * 2.5 hours = 1325 gallons. Thus, 1,325 gallons of water will be in the pool.

Question 98: Convert 3/4 to a percentage.

75% (Correct answer)
43%
34%
0.75%

Correct answer: 75%

3 ÷ 4 = 0.75 = 75%.

Question 99: A survey of 200 students found that 60 prefer math. What percentage prefer math?

25%
40%
20%
30% (Correct answer)

Correct answer: 30%

(60 ÷ 200) × 100 = 30%.

Question 100: 4(−7+5) − (−2)(6−11) = ____

-12
2
-18 (Correct answer)
14

Correct answer: -18

Following the order of operations, first solve the expressions within the parentheses. (-7 + 5) equals -2, and (6 - 11) equals -5. Now substitute these values back into the equation: 4(-2) - (-2)(-5). Perform the multiplications: 4(-2) = -8, and (-2)(-5) = 10. Finally, subtract the results: -8 - 10 = -18.

Question 101: On the WritePlacer essay scored from 1–8, a score of 1 typically indicates:

An essay with only minor grammatical errors
A response that adequately addresses the prompt
An excellent essay with sophisticated argumentation
A response that is off-topic, minimal, or incomprehensible (Correct answer)

Correct answer: A response that is off-topic, minimal, or incomprehensible

A score of 1 on the WritePlacer indicates a response that fails to address the prompt meaningfully, is extremely brief, or is largely incomprehensible.

Question 102: A car travels 180 miles in 3 hours. At the same rate, how far will it travel in 5 hours?

300 miles (Correct answer)
320 miles
270 miles
360 miles

Correct answer: 300 miles

The speed is 60 mph; in 5 hours the car travels 60 × 5 = 300 miles.

Question 103: Which sentence has parallel structure?

She likes hiking, swimming, and biking. (Correct answer)
She likes hiking, to swim, and biking.
She likes hikes, to swim, and biking.
She likes to hike, swimming, and bikes.

Correct answer: She likes hiking, swimming, and biking.

All three items use the same -ing gerund form.

Question 104: What is the remainder when x³ − 2x + 4 is divided by (x − 1)?

3 (Correct answer)
0
2
1

Correct answer: 3

By the Remainder Theorem, substitute x = 1: 1 − 2 + 4 = 3.

Question 105: A data set has values 4, 7, 7, 9, 13. What is the median?

8
9
7.5
7 (Correct answer)

Correct answer: 7

When values are arranged in order, the middle value of five numbers is the third one, which is 7.

ACCUPLACER Exam

The ACCUPLACER is a computer-adaptive college placement test administered by College Board, used by colleges and universities to assess reading, writing, and math skills for course placement decisions.

105

Questions

120 min

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