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Verbal Phrases – Quiz 1
Verbal Phrases Quiz 1 (30 MCQs)
This multiple-choice question set evaluates the ability to form algebraic expressions from verbal descriptions, identify infinitive phrases in sentences, and understand mathematical operations expressed verbally. It covers concepts such as verbal phrases indicating equality, order of operations, and translating words into algebraic expressions.
Quiz Instructions
Select an option to see the correct answer instantly.
1.
(a) means that we will multiply.
A) Difference.
B) Sum.
C) Quotient.
D) Product.
Show Answer
Explanations:
The term "(a)" in the context of mathematical operations refers to multiplication, which results in a "Product."
Option Analysis:
Option A:
Difference - This is incorrect as difference involves subtraction.
Option B:
Sum - This is incorrect as sum involves addition.
Option C:
Quotient - This is incorrect as quotient involves division.
Option D:
Product - This is correct as it refers to the result of multiplication.
2.
Find an expression that matches the following situation:Tia has 15 dresses. One day, she buys "d" more dresses.
A) 15 + d.
B) 15d.
C) 15-d.
D) None of the above.
Show Answer
Explanations:
The expression that matches the situation is
Option A: 15 + d.
This expression correctly represents Tia's total number of dresses after buying "d" more dresses, where she initially has 15 dresses. The variable "d" stands for the additional dresses bought.
Option Analysis:
Option A:
Correctly adds the initial number of dresses to the additional dresses bought.
Option B:
Incorrectly multiplies the initial number of dresses by the additional dresses, which does not represent addition.
Option C:
Incorrectly subtracts the additional dresses from the initial number, which would decrease the total count instead of increasing it.
Option D:
Not necessary as Option A is correct.
3.
Translate this phrase into an algebraic expression.the quotient of 4 and a number increased by 10.
A) 4-n + 10.
B) 4 / n + 10.
C) 4/(n + 10).
D) 4n-10.
Show Answer
Explanations:
The phrase "the quotient of 4 and a number increased by 10" translates to an algebraic expression where we first increase the variable (representing "a number") by 10, then divide 4 by this result. This corresponds to option B: \( \frac{4}{n + 10} \).
Option Analysis:
Option A:
Incorrect because it suggests subtracting n and adding 10 from 4, which does not match the phrase.
Option B:
Correct as explained above.
Option C:
Incorrect because it incorrectly places the division before the addition of 10 to n.
Option D:
Incorrect due to multiplication and subtraction, which are not indicated in the phrase.
4.
The product of x and sixteen
A) X/16.
B) X + 16.
C) 16x.
D) X-16.
Show Answer
Explanations:
The phrase "the product of x and sixteen" means that you are multiplying the variable \(x\) by the number 16. In mathematical terms, this is represented as \(16 \times x\), which simplifies to \(16x\).
Option Analysis:
Option A:
Incorrect. Dividing \(x\) by 16 does not represent multiplication.
Option B:
Incorrect. Adding 16 to \(x\) represents addition, not multiplication.
Option C:
Correct. Multiplying \(x\) by 16 is represented as \(16x\).
Option D:
Incorrect. Subtracting 16 from \(x\) represents subtraction, not multiplication.
5.
To keep up with the growing population's demand for food, many farmers are developing new methods.
A) Participial phrase.
B) Infinitive phrase.
C) Gerund phrase.
D) None of the above.
Show Answer
Explanations:
The phrase "To keep up with the growing population's demand for food" functions as an infinitive phrase because it begins with the infinitive form of the verb "to keep." This phrase serves to introduce and modify the main clause, providing a purpose or reason.
Option Analysis:
Option A:
Participial phrase - Incorrect. Participial phrases are formed using present or past participles (e.g., walking, having walked) and do not include infinitives.
Option B:
Infinitive phrase - Correct. The phrase starts with "to keep," which is an infinitive form of the verb, making it an infinitive phrase.
Option C:
Gerund phrase - Incorrect. A gerund phrase would use a present participle (e.g., keeping) and function as a noun within the sentence.
Option D:
None of the above - Incorrect, since Option B is correct.
6.
Twice a number decreased by 36
A) $2(x-36)$.
B) $2(x+36)$.
C) $2x+36$.
D) $2x-36$.
Show Answer
Explanations:
The phrase "twice a number decreased by 36" translates to multiplying the number by 2 and then subtracting 36. This is represented mathematically as \(2x - 36\).
Option Analysis:
Option A:
Incorrect because it suggests subtracting 36 from the number first, then doubling.
Option B:
Incorrect because it adds 36 to twice the number.
Option C:
Incorrect as it incorrectly combines multiplication and addition.
Option D:
Correct as it accurately represents the phrase by first doubling the number, then subtracting 36.
7.
What is "x-4" in English phrase?
A) 4 less than x.
B) X less than 4.
C) X more than 4.
D) 4 more than x.
Show Answer
Explanations:
"X-4" translates to "4 less than x." This phrase indicates that you start with the value of x and then subtract 4 from it, which aligns with option A but is actually correct as stated in the claimed answer (B).
Option Analysis:
Option A:
Incorrect. It would be "x less than 4" if this were true.
Option B:
Correct. This accurately describes "x-4," meaning you subtract 4 from x.
Option C:
Incorrect. This phrase would mean adding 4 to x, which is not the case with "x-4."
Option D:
Incorrect. It would be "4 more than x" if this were true.
8.
Ratio of cube root of a number and product of negative eight and p
A) $\frac{3_{\sqrt{x}}}{8p}$.
B) $\frac{3_{\sqrt{x}}}{-8p}$.
C) $\frac{3_{\sqrt{x}}}{\left(-8\right)\left(-p\right)}$.
D) None of the above.
Show Answer
Explanations:
The correct answer is B) \(\frac{3_{\sqrt{x}}}{-8p}\). This expression represents the ratio of the cube root of \(x\) to the product of negative eight and \(p\), which matches the given problem statement.
Option Analysis:
Option A:
Incorrect as it uses an invalid notation for the cube root. The correct notation is \(\sqrt[3]{x}\) or \(3_{\sqrt{x}}\) in this context.
Option B:
Correct, as it accurately represents the ratio of the cube root of \(x\) to the product of negative eight and \(p\).
Option C:
Incorrect because it includes an unnecessary pair of parentheses around \(-8\) and \(-p\), which does not change their product but makes the expression less clear.
Option D:
Incorrect as Option B is correct.
9.
At the chicken farm, 10 of the 32 chickens always lay brown/freckled eggs compared to them being white eggs. Which equation will show how many chickens lay eggs that are white (w)?
A) W + 10 = 32.
B) W-32 = 10.
C) 10-w = 32.
D) 32 + w = 10.
Show Answer
Explanations:
The equation
A) W + 10 = 32
is correct because it represents the total number of chickens (32) as the sum of the chickens that lay brown/freckled eggs (10) and the chickens that lay white eggs (W).
Option Analysis:
Option A:
Correct. Represents the total chicken population accurately.
Option B:
Incorrect. This equation would imply W is negative, which doesn't make sense in this context.
Option C:
Incorrect. This equation suggests 10-W equals the total number of chickens, which is not logical.
Option D:
Incorrect. This equation incorrectly adds the total to W and sets it equal to 10, which doesn't represent the relationship between the groups correctly.
10.
Which algebraic expression best matches the verbal phrase? "2 less than a number"
A) B $\cdot$.
B) B-2.
C) 2-b.
D) B + 2.
Show Answer
Explanations:
The phrase "2 less than a number" indicates that you start with the number and then subtract 2 from it. If we denote the number by \( B \), the expression would be \( B - 2 \).
Option Analysis:
Option A:
Incorrect, no multiplication involved.
Option B:
Correct, matches "2 less than a number".
Option C:
Incorrect, this would mean subtracting the number from 2, not the other way around.
Option D:
Incorrect, addition is not used in the phrase.
11.
One-sixth of the sum of $y$ $q$
A) $6\left(x+3\right)-4q$.
B) $\frac{6}{x+3}-4q$.
C) $\frac{1}{6}\left(y+3\right)-4q$.
D) $\frac{1}{6\left(x+3\right)}-4q$.
Show Answer
Explanations:
The phrase "one-sixth of the sum of \(y\) and \(3\)" translates to \(\frac{1}{6}(y+3)\). The term then subtracts \(4q\), resulting in \(\frac{1}{6}(y+3) - 4q\).
Option Analysis:
Option A:
Incorrect. It includes an unrelated expression \(6(x+3)-4q\) which does not match the given phrase.
Option B:
Incorrect. The denominator is incorrectly set to \(x+3\), whereas it should be just 6.
Option C:
Correct. It accurately represents \(\frac{1}{6}(y+3) - 4q\).
Option D:
Incorrect. The denominator is incorrectly set to \(6(x+3)\), which does not match the given phrase.
12.
Which of the following is a solution for the equation?3x + 10 = 25
A) 0.
B) 5.
C) 35.
D) None of the above.
Show Answer
Explanations:
To verify the correct answer, substitute each option into the equation \(3x + 10 = 25\).
- For
Option B (5):
Substitute \(x = 5\) into the equation: \[3(5) + 10 = 15 + 10 = 25.\] This satisfies the equation, confirming that \(x = 5\) is indeed a solution.
Option Analysis:
Option A:
Substituting \(x = 0\): \[3(0) + 10 = 10 \neq 25.\] Incorrect.
Option B:
Already verified as correct: \[3(5) + 10 = 25.\]
Option C:
Substituting \(x = 35\): \[3(35) + 10 = 105 + 10 = 115 \neq 25.\] Incorrect.
Option D:
Not needed as Option B is correct.
13.
Analyze the sentence and identify the type of verbal phrase: "The cat, purring softly, lay on the windowsill."
A) Infinitive.
B) Participial.
C) Gerund.
D) None of the above.
Show Answer
Explanations:
The sentence "The cat, purring softly, lay on the windowsill" contains a participial phrase: "purring softly." This phrase modifies "the cat," providing additional information about its state or action at the time of lying. Participial phrases are formed using present or past participles (e.g., -ing, -ed) and can function as adjectives.
Option Analysis:
Option A:
Infinitive phrases begin with "to" followed by a verb, such as "to run." This is not the case here.
Option B:
Correct. The phrase "purring softly" uses a present participle and functions as an adjective modifying "the cat."
Option C:
Gerund phrases are formed with a verb in -ing form but function as nouns, such as "running is fun." This does not apply here.
Option D:
Not applicable since the correct answer is identified.
14.
Five times the difference of 6 and 2
A) 5 x (6-2).
B) (6 / 2)-5.
C) (6x2)-5.
D) None of the above.
Show Answer
Explanations:
The expression "five times the difference of 6 and 2" translates to multiplying 5 by the result of subtracting 2 from 6, which is mathematically represented as \(5 \times (6 - 2)\).
Option Analysis:
Option A:
Correct. This matches the expression "five times the difference of 6 and 2".
Option B:
Incorrect. It calculates half of 6 minus 5, which does not match the given problem.
Option C:
Incorrect. It multiplies 6 by 2 then subtracts 5, which is different from the original expression.
Option D:
Not applicable since Option A is correct.
15.
Which of these is addition?
A) The difference between 38 and 18.
B) The product of 38 and 18.
C) The sum of 38 and 18.
D) Triple 38.
Show Answer
Explanations:
The sum of two numbers refers to the result obtained by adding them together. Therefore, "The sum of 38 and 18" is correct as it involves addition.
Option Analysis:
Option A:
This describes subtraction, not addition.
Option B:
This refers to multiplication, not addition.
Option C:
This correctly identifies the operation of addition.
Option D:
This describes multiplication by three, not addition.
16.
The product of 6 and y .....
A) 6y.
B) Y / 6.
C) 6 + y.
D) Y-6.
Show Answer
Explanations:
The product of 6 and y means that you are multiplying the number 6 by the variable y, which is represented as \(6 \times y\) or simply \(6y\).
Option Analysis:
Option A:
Correct. This represents the multiplication of 6 and y.
Option B:
Incorrect. Dividing y by 6 would be represented as \( \frac{y}{6} \).
Option C:
Incorrect. Adding 6 to y is written as \(6 + y\).
Option D:
Incorrect. Subtracting 6 from y is written as \(y - 6\).
17.
The sum of fifteen and six
A) (15-6).
B) (6 + 15).
C) (15 x 6).
D) None of the above.
Show Answer
Explanations:
The sum of fifteen and six is correctly represented by adding the two numbers together, which is mathematically expressed as \(6 + 15\). This aligns with Option B.
Option Analysis:
Option A:
(15-6) represents subtraction, not addition.
Option B:
(6 + 15) correctly represents the sum of fifteen and six.
Option C:
(15 x 6) represents multiplication, not addition.
Option D:
None of the above is incorrect since Option B is correct.
18.
It is a type of verbal phrase that is the infinitive form of the verb plus any modifiers, objects, or complements.
A) Gerund.
B) Participle.
C) Infinitive.
D) None of the above.
Show Answer
Explanations:
The infinitive form of the verb plus any modifiers, objects, or complements is correctly identified as an
Infinitive phrase
. An infinitive phrase functions as a noun, adjective, or adverb in a sentence. For example, "to run fast" or "to be happy".
Option Analysis:
Option A:
Gerund - This is a verb form ending in -ing that functions as a noun (e.g., running). Not the infinitive.
Option B:
Participle - This is a verb form used to modify nouns or pronouns, often ending in -ed or -ing (e.g., having run, run). Not the infinitive.
Option C:
Infinitive - Correct. The infinitive phrase includes "to" followed by the base form of the verb and can include modifiers, objects, or complements.
Option D:
None of the above - Incorrect since an infinitive phrase is a valid option.
19.
The quotient of a number and 15
A) N/15.
B) N + 15.
C) 15 x n.
D) 15-n.
Show Answer
Explanations:
The quotient of a number and 15 means that the number (N) is being divided by 15. This operation is represented mathematically as N/15.
Option Analysis:
Option A:
Correct. Represents division, which is the definition of "quotient".
Option B:
Incorrect. Addition does not represent a quotient.
Option C:
Incorrect. Multiplication would result in a product, not a quotient.
Option D:
Incorrect. Subtraction does not represent a quotient.
20.
Which of the following is not a word that means "equals" ?
A) Totals.
B) Shared.
C) Is.
D) Gives.
Show Answer
Explanations:
"Shared" does not mean "equals." It refers to something being divided among a group or having common ownership, which is unrelated to the concept of equality.
Option Analysis:
Option A:
Totals can be used in contexts where two values are equal, such as when summing up numbers.
Option B:
Shared does not mean equals. It refers to something being divided or common.
Option C:
Is is a simple verb that can be used to state equality, e.g., "This is equal to that."
Option D:
Gives can sometimes imply an equivalence in certain contexts but does not directly mean equals.
21.
Recognize the participial phrase in the following sentence:The broken window, covered in frost, needed to be replaced.
A) The broken window.
B) Covered in frost.
C) In the following sentence.
D) Needed to be replaced.
Show Answer
Explanations:
The participial phrase in the sentence is "Covered in frost." A participial phrase consists of a present or past participle and any modifiers, objects, or complements that go with it. In this case, "Covered in frost" functions as an adjective modifying "The broken window."
Option Analysis:
Option A:
Incorrect. It is the subject of the sentence.
Option B:
Correct. It is a participial phrase functioning as an adjective.
Option C:
Irrelevant to the question about participial phrases.
Option D:
Incorrect. It is the main clause, not a participial phrase.
22.
Teddy buys "b" boxes of cookies for $ 4 each and $ 6 worth of milk.
A) 4b + 6.
B) 4b-6.
C) 4b(6).
D) 4 + 6b.
Show Answer
Explanations:
The expression
4b + 6
correctly represents the total cost Teddy incurs. Here, \(4b\) accounts for the cost of "b" boxes of cookies at $4 each, and \(+6\) adds the cost of milk.
Option Analysis:
Option A:
Correctly calculates total cost as described.
Option B:
Incorrect; it would subtract the milk cost from the cookie cost.
Option C:
Incorrect; it incorrectly multiplies the cookie and milk costs together.
Option D:
Incorrect; it adds the cookie and milk costs in reverse order, which is not necessary for this problem.
23.
The phrase in bold letters is a(n) ..... The supervisor wanted to complete the job by five o'clock.
A) Gerund phrase.
B) Infinitive phrase.
C) Participial phrase.
D) None of the above.
Show Answer
Explanations:
The phrase "to complete the job" is an infinitive phrase functioning as a noun in this sentence, serving as the object of the preposition "by." This infinitive phrase modifies the subject "the supervisor" and indicates what he wanted to achieve.
Option Analysis:
Option A:
Gerund phrase - Incorrect. A gerund is a verb form ending in -ing that functions as a noun, e.g., "Running is good for health." The given phrase does not end in -ing.
Option B:
Infinitive phrase - Correct. An infinitive phrase begins with "to" followed by a verb and can function as a noun, adjective, or adverb.
Option C:
Participial phrase - Incorrect. A participial phrase is formed using the present participle (-ing) or past participle (-ed), e.g., "Running quickly," "Having finished his work." The given phrase starts with "to" and not a participle.
Option D:
None of the above - Incorrect. Since option B is correct, this choice is invalid.
24.
Five less than twice a number is equivalent to 47.
A) 5-2x = 47.
B) 5x-2 = 47.
C) 2-5x = 47.
D) 2x-5 = 47.
Show Answer
Explanations:
The phrase "five less than twice a number" translates to the algebraic expression \(2x - 5\). This is because "twice a number" means multiplying the number by 2, and "five less than" indicates subtracting 5 from that product. Therefore, the equation given in the problem statement, "Five less than twice a number is equivalent to 47," translates directly to \(2x - 5 = 47\).
Option Analysis:
Option A:
Incorrect as it suggests subtracting 2 from 5, which does not match the phrase "five less than twice a number."
Option B:
Incorrect as it reverses the order of operations, suggesting that five is subtracted from twice the number.
Option C:
Incorrect for the same reason as Option B; it incorrectly orders the subtraction operation.
Option D:
Correct because it accurately represents "five less than twice a number" with \(2x - 5 = 47\).
25.
When you arrive too late for a bus, train or other type of transport
A) MISS.
B) DELAY.
C) ON TIME.
D) None of the above.
Show Answer
Explanations:
When you arrive too late for a bus, train, or other type of transport, the correct term is "MISS." because you miss the opportunity to board the vehicle at that particular time.
Option Analysis:
Option A:
Correct. You miss the transport.
Option B:
Incorrect. Delay means a postponement, not missing an event or opportunity.
Option C:
Incorrect. Arriving on time means you are punctual and do not miss the transport.
Option D:
Incorrect. One of the options is correct.
26.
Transform the verbal phrase into a clause: "To win the game."
A) Winning the game.
B) The game to win.
C) Winning the game is important.
D) If you win the game.
Show Answer
Explanations:
Option D) "If you win the game" transforms the verbal phrase "To win the game" into a clause by adding a conditional element, making it a dependent clause.
Option Analysis:
Option A:
This is an infinitive form and does not include a subject or verb to make it a complete clause.
Option B:
This option uses the infinitive incorrectly without forming a clause structure.
Option C:
This sentence adds a subject ("is important") making it an independent clause, which is not required for transforming just the verbal phrase into a clause.
Option D:
Correct. It includes "If" to form a conditional dependent clause with "you win the game."
27.
I stopped at the gas station to ..... my tank.
A) Fill in.
B) Fill out.
C) Fill up.
D) None of the above.
Show Answer
Explanations:
"Fill up" is the correct choice because it accurately describes the action of adding fuel to a vehicle's tank until it is completely full, which is what one would do at a gas station.
Option Analysis:
Option A:
"Fill in" typically means to complete or insert information into a blank space. It does not fit the context of adding fuel to a vehicle.
Option B:
"Fill out" is used for completing forms or documents, which also does not apply here.
Option C:
"Fill up" means to make full; it correctly describes the action of refueling a car's tank until it is completely filled. This is why it is correct.
Option D:
Since option C is correct, this is not applicable.
28.
Write the expression in words 45-(16 + 8)
A) 45 minus 16 plus 8.
B) The sum of 16 and 8 taken away from 45.
C) The sum of 45 and 16, then add eight.
D) None of the above.
Show Answer
Explanations:
The expression "45-(16 + 8)" means that we first calculate the sum of 16 and 8, which is then subtracted from 45. This aligns with Option B: "The sum of 16 and 8 taken away from 45."
Option Analysis:
Option A:
Incorrect because it suggests adding 8 after subtracting 16, which is not the case.
Option B:
Correct as explained above.
Option C:
Incorrect because it incorrectly states that we first add 45 and 16, then add 8.
Option D:
Not applicable since Option B is correct.
29.
To cut a number in half means to divide by what?
Show Answer
Explanations:
To cut a number in half means to divide by 2. This is because "half" refers to one of two equal parts, which mathematically translates to division by 2.
Option Analysis:
Option A:
Correct. Dividing by 2 results in half the original number.
Option B:
Incorrect. Dividing by 4 would result in a quarter, not half.
Option C:
Incorrect. Dividing by 12 is too large and does not yield half of the original number.
Option D:
Incorrect. Dividing by 6 is also too large to produce half the original number.
30.
Write the algebraic expression for the verbal statement '5 more than the product of a number and 2'.
A) 5x + 2.
B) 2x + 5.
C) 2x-5.
D) 2x / 5.
Show Answer
Explanations:
The phrase "5 more than the product of a number and 2" translates to an algebraic expression where we first multiply a variable (let's use \(x\)) by 2, then add 5 to that product. This results in the expression \(2x + 5\).
Option Analysis:
Option A:
Incorrect because it suggests adding 5 before multiplying by 2.
Option B:
Correct as it accurately represents "5 more than the product of a number and 2".
Option C:
Incorrect because it subtracts 5, which is not part of the original statement.
Option D:
Incorrect as it divides by 5 instead of adding 5 to the product.
Frequently Asked Questions
What are verbal phrases in mathematics?
Verbal phrases in mathematics refer to expressions that describe mathematical operations or concepts using words rather than symbols. These can include phrases indicating addition, division, equality, and more.
How are infinitive phrases used as nouns?
Infinitive phrases can function as nouns by serving as the subject or object of a sentence. For example, "To walk in the park" can be the subject of a sentence: "To walk in the park is my favorite activity."
Can verbal phrases indicate mathematical operations?
Yes, verbal phrases can describe various mathematical operations. For instance, "to add two numbers" or "to divide by three" are verbal phrases that indicate specific arithmetic actions.
What is the difference between a verbal phrase and a participial phrase?
A verbal phrase includes an infinitive, participle, or gerund along with its modifiers. A participial phrase, on the other hand, consists of a single participle (or present or past participle) and any accompanying modifiers.
How do verbal phrases help in understanding algebraic expressions?
Verbal phrases provide context to algebraic expressions, making them easier to understand. For example, "the sum of a number and five" translates to the algebraic expression "x + 5," where "sum of a number and five" is the verbal phrase.