Q. Which of the following is the correct factorization of a² - b²?
A.
(a + b)(a - b)
B.
(a - b)(a - b)
C.
(a + b)(a + b)
D.
a² - 2ab + b²
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Solution
a² - b² = (a + b)(a - b) by the difference of squares identity.
Correct Answer: A — (a + b)(a - b)
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Q. Which of the following is the correct factorization of the quadratic equation x^2 - 5x + 6?
A.
(x - 2)(x - 3)
B.
(x + 2)(x + 3)
C.
(x - 1)(x - 6)
D.
(x + 1)(x + 6)
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Solution
The quadratic x^2 - 5x + 6 factors to (x - 2)(x - 3).
Correct Answer: A — (x - 2)(x - 3)
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Q. Which of the following is the correct formula for ethyne?
A.
C2H2
B.
C2H4
C.
C2H6
D.
C2H8
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Solution
Ethyne, also known as acetylene, has the formula C2H2, which indicates it is an alkyne.
Correct Answer: A — C2H2
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Q. Which of the following is the correct identity for (a - b)²?
A.
a² - 2ab + b²
B.
a² + 2ab + b²
C.
a² - b²
D.
2a² - 2b²
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Solution
(a - b)² = a² - 2ab + b² by the expansion of the square of a binomial.
Correct Answer: A — a² - 2ab + b²
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Q. Which of the following is the correct identity for (x + y + z)³?
A.
x³ + y³ + z³ + 3(x + y)(y + z)(z + x)
B.
x³ + y³ + z³ + 3xyz
C.
x³ + y³ + z³ + 3xy + 3yz + 3zx
D.
x³ + y³ + z³ - 3xyz
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Solution
(x + y + z)³ = x³ + y³ + z³ + 3xyz.
Correct Answer: B — x³ + y³ + z³ + 3xyz
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Q. Which of the following is the correct identity for (x + y)³?
A.
x³ + y³ + 3xy(x + y)
B.
x³ + y³ - 3xy(x + y)
C.
x³ + y³ + 3xy²
D.
x³ - y³
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Solution
(x + y)³ = x³ + y³ + 3xy(x + y) by the binomial expansion.
Correct Answer: A — x³ + y³ + 3xy(x + y)
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Q. Which of the following is the correct identity for sin(2A)?
A.
2sinAcosA
B.
sin^2A + cos^2A
C.
sinA + cosA
D.
sinAcosA
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Solution
The double angle formula states that sin(2A) = 2sinAcosA.
Correct Answer: A — 2sinAcosA
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Q. Which of the following is the correct IUPAC name for C2H5-CO-CH3?
A.
2-Pentanone
B.
3-Pentanone
C.
Butan-2-one
D.
Butan-3-one
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Solution
The compound is a ketone with a four-carbon chain, and the carbonyl group is on the second carbon, hence it is Butan-2-one.
Correct Answer: C — Butan-2-one
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Q. Which of the following is the correct IUPAC name for C3H6?
A.
Propene
B.
Cyclopropane
C.
Propane
D.
1-Propyn
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Solution
C3H6 corresponds to propene, which is an alkene with a double bond.
Correct Answer: A — Propene
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Q. Which of the following is the correct IUPAC name for C3H7-COOH?
A.
Propanoic acid
B.
Butanoic acid
C.
Pentanoic acid
D.
Hexanoic acid
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Solution
The compound has 3 carbons in the longest chain and a carboxylic acid group, hence it is Propanoic acid.
Correct Answer: A — Propanoic acid
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Q. Which of the following is the correct IUPAC name for C5H10?
A.
Pentane
B.
Cyclopentane
C.
1-Pentene
D.
2-Pentene
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Solution
C5H10 corresponds to pentane, which is a straight-chain alkane with 5 carbon atoms.
Correct Answer: A — Pentane
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Q. Which of the following is the correct IUPAC name for C6H12?
A.
Hexane
B.
Cyclohexane
C.
2-Hexene
D.
1-Hexyne
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Solution
C6H12 is a straight-chain alkane with 6 carbons, which is named Hexane.
Correct Answer: A — Hexane
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Q. Which of the following is the correct IUPAC name for C6H5-CH2-CH2-COOH?
A.
Phenylbutanoic acid
B.
Butylbenzoic acid
C.
Benzoic acid
D.
Phenylpropanoic acid
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Solution
The compound has a phenyl group attached to a butanoic acid structure, making it Phenylbutanoic acid.
Correct Answer: A — Phenylbutanoic acid
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Q. Which of the following is the correct IUPAC name for C6H5-CH2-CH3?
A.
Ethylbenzene
B.
Phenylpropane
C.
Benzyl ethane
D.
Benzene ethyl
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Solution
The compound has a phenyl group attached to an ethyl group, making it Ethylbenzene.
Correct Answer: A — Ethylbenzene
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Q. Which of the following is the correct IUPAC name for CH3-CH2-CH(CH3)-CH2-CH3?
A.
2-Pentene
B.
3-Pentene
C.
2-Methylbutane
D.
3-Methylbutane
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Solution
The longest carbon chain has 5 carbons, and there is a methyl group on the second carbon, making it 2-Methylbutane.
Correct Answer: C — 2-Methylbutane
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Q. Which of the following is the correct IUPAC name for CH3-CH2-CH(CH3)-OH?
A.
2-Methylpropan-1-ol
B.
3-Methylbutan-1-ol
C.
2-Methylbutan-1-ol
D.
3-Methylpropan-1-ol
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Solution
The longest chain has four carbons, and the hydroxyl group is on the first carbon, with a methyl group on the second carbon, making it 2-Methylbutan-1-ol.
Correct Answer: C — 2-Methylbutan-1-ol
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Q. Which of the following is the correct IUPAC name for CH3-CH2-CH(OH)-CH3? (2020)
A.
2-butanol
B.
1-butanol
C.
3-butanol
D.
2-pentanol
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Solution
The compound CH3-CH2-CH(OH)-CH3 is 2-butanol, as the hydroxyl group is on the second carbon.
Correct Answer: A — 2-butanol
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Q. Which of the following is the correct IUPAC name for CH3CH2CH2OH?
A.
Propan-1-ol
B.
Butan-1-ol
C.
Butan-2-ol
D.
Pentan-1-ol
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Solution
The correct IUPAC name for CH3CH2CH2OH is Butan-1-ol, as it has four carbon atoms with the hydroxyl group on the first carbon.
Correct Answer: B — Butan-1-ol
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Q. Which of the following is the correct IUPAC name for CH3CHO?
A.
Ethanal
B.
Propanal
C.
Butanal
D.
Methanal
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Solution
The correct IUPAC name for CH3CHO is Ethanal.
Correct Answer: A — Ethanal
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Q. Which of the following is the correct IUPAC name for CH3COOH?
A.
Methanoic acid
B.
Ethanoic acid
C.
Propanoic acid
D.
Butanoic acid
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Solution
The compound CH3COOH is known as Ethanoic acid, which is the IUPAC name for acetic acid.
Correct Answer: B — Ethanoic acid
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Q. Which of the following is the correct IUPAC name for the compound C2H5-CHO?
A.
Ethanal
B.
Propanoic acid
C.
Acetaldehyde
D.
Ethyl aldehyde
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Solution
The compound is an aldehyde with two carbons, hence the IUPAC name is Ethanal.
Correct Answer: A — Ethanal
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Q. Which of the following is the correct IUPAC name for the compound C3H6O?
A.
Propylene oxide
B.
Acetone
C.
Propanal
D.
Cyclopropanol
Show solution
Solution
C3H6O can be identified as Propanal, which is an aldehyde with three carbons.
Correct Answer: C — Propanal
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Q. Which of the following is the correct IUPAC name for the compound CH3-CH(CH3)-C(CH3)2-COOH?
A.
2-Hydroxy-3-methylpentanoic acid
B.
3-Methyl-2-pentanoic acid
C.
2-Methyl-3-pentanoic acid
D.
3-Hydroxy-2-methylpentanoic acid
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Solution
The longest chain has 5 carbons, with a methyl group on the second carbon and a carboxylic acid on the first, making it 3-Methyl-2-pentanoic acid.
Correct Answer: B — 3-Methyl-2-pentanoic acid
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Q. Which of the following is the correct IUPAC name for the compound CH3-CH2-CH(CH3)-OH?
A.
2-Propanol
B.
1-Butanol
C.
2-Butanol
D.
3-Butanol
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Solution
The compound has a hydroxyl group on the second carbon of a four-carbon chain, making it 2-Butanol.
Correct Answer: C — 2-Butanol
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Q. Which of the following is the correct IUPAC name for the compound CH3-CH2-CH(CH3)-C≡C-H?
A.
3-Methyl-1-pentyne
B.
2-Methyl-1-pentyne
C.
1-Methyl-2-pentyne
D.
1-Methyl-3-pentyne
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Solution
The compound has a triple bond and the longest chain has five carbons, making it 3-Methyl-1-pentyne.
Correct Answer: A — 3-Methyl-1-pentyne
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Q. Which of the following is the correct IUPAC name for the compound CH3-CH2-CH2-CH2-COOH?
A.
Pentanoic acid
B.
Butanoic acid
C.
Hexanoic acid
D.
Heptanoic acid
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Solution
The compound is a carboxylic acid with 5 carbons, named Pentanoic acid.
Correct Answer: A — Pentanoic acid
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Q. Which of the following is the correct IUPAC name for the compound CH3-CH2-CH2-CHO?
A.
Butanal
B.
Propionaldehyde
C.
Pentanal
D.
Ethanal
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Solution
The compound has a four-carbon chain with an aldehyde functional group, so it is named Butanal.
Correct Answer: A — Butanal
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Q. Which of the following is the correct IUPAC name for the compound with the formula C3H7-COOH?
A.
Propanoic acid
B.
Butanoic acid
C.
Acetic acid
D.
Isobutyric acid
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Solution
The compound has three carbons in the longest chain and a carboxylic acid functional group, making it Propanoic acid.
Correct Answer: A — Propanoic acid
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Q. Which of the following is the correct IUPAC name for the compound with the formula C6H5-CH2-CHO?
A.
Benzaldehyde
B.
Benzylaldehyde
C.
Phenylacetaldehyde
D.
Phenylaldehyde
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Solution
The compound has a benzyl group attached to an aldehyde, making it Benzylaldehyde.
Correct Answer: B — Benzylaldehyde
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Q. Which of the following is the correct IUPAC name for the compound with the formula C2H5-CHO?
A.
Ethanal
B.
Propionaldehyde
C.
Acetaldehyde
D.
Butanal
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Solution
The compound is an aldehyde with two carbons, and its IUPAC name is Acetaldehyde.
Correct Answer: C — Acetaldehyde
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