Question 1

Directions: Read each item carefully. Choose the letter of the best answer and write it on your answer sheet.

As a businessman, Mr. Cruz uses functions to predict the income of his store located in Balanga City. He used previous data to make models that could describe the relationship between number of customer (x) and the sales for each of his products. For product A, the income is represented by A(x) =420x-250, while the income for product B is given by B(x) = 250x + 35.

How much will be the total sales from product A and B in a certain period of time?

For product C, Mr. Cruz determines that the function C(x) can be found by multiplying the numberof customers byP120. Which of the following represents the function C?

Accepted Answer

C. C(x) = 120x

Answer

B. C(x) = x - 120

Answer

A. C(x) = x + 120

Answer

D. C(x) = 120𝑥/x

Question 2

As a businessman, Mr. Cruz uses functions to predict the income of his store located in Balanga City. He used previous data to make models that could describe the relationship between number of customer (x) and the sales for each of his products. For product A, the income is represented by A(x) =420x-250, while the income for product B is given by B(x) = 250x + 35.

How much will be the total sales from product A and B in a certain period of time?

Accepted Answer

A. 670x - 215

Answer

D. 650x + 285

Answer

C. 670x + 215

Answer

B. 670x - 285

Question 3

As a businessman, Mr. Cruz uses functions to predict the income of his store located in Balanga City. He used previous data to make models that could describe the relationship between number of customer (x) and the sales for each of his products. For product A, the income is represented by A(x) =420x-250, while the income for product B is given by B(x) = 250x + 35.

How much will be the total sales from product A and B in a certain period of time?

During the celebration of the Philippine Independence Day on June 12, 2021, the store had a record high in terms of both number of customers and sales. If on that day, the store received 200 customers, what was the total sales for Product A?

Accepted Answer

D. P83,750.00

Answer

C. P48,190.00

Answer

B. P4,750.00

Answer

A. P190.00

Question 4

Ms. Dilao takes interest on the ratio of the sides of a rectangular canvas. She believes that this ratio could highlight the beauty of a painting. In one of her collections, she used different rectangular canvas following the function L(x) = 5x + 8 for the length and W(x) = 4x - 2.

Suppose the ratio, 4𝑥-2/5𝑥+8 is equal to ½. What is the value of x?

Which represents the ratio of the length to the width of the rectangular canvas?

Accepted Answer

B. 5x+84x-2

Answer

A. 54x-4

Answer

B. (5x+8) – (4x-2)

Answer

C. (4x-2) + (5x+8)

Question 5

Ms. Dilao takes interest on the ratio of the sides of a rectangular canvas. She believes that this ratio could highlight the beauty of a painting. In one of her collections, she used different rectangular canvas following the function L(x) = 5x + 8 for the length and W(x) = 4x - 2.

Suppose the ratio, 4𝑥-2/5𝑥+8 is equal to ½. What is the value of x?

Accepted Answer

B. 4

Answer

A. 2

Answer

C. 6

Answer

D. 8

Question 6

Ms. Dilao takes interest on the ratio of the sides of a rectangular canvas. She believes that this ratio could highlight the beauty of a painting. In one of her collections, she used different rectangular canvas following the function L(x) = 5x + 8 for the length and W(x) = 4x - 2.

Suppose the ratio, 4𝑥-2/5𝑥+8 is equal to ½. What is the value of x?

In one of her exhibits, the ratio of the sides of the canvas is given by f(x) =2𝑥+1/x-2.

What is the domain of the rational function?

Accepted Answer

D. {x ∈ R ∣ x ≠ -12}

Answer

B. {x ∈ R ∣ x ≠ 12}

Answer

A. {x ∈ R ∣ x ≠ -2}

Answer

C. {x ∈ R ∣ x ≠ 2}

Question 7

What is the x- intercept of the graph of f(x)=2𝑥+1/x-2?

Accepted Answer

B. -1/2

Answer

D. 1/4

Answer

A. 2

Answer

C. 4

Question 8

Which of the following is the y-intercept of the graph of the rational function f(x) = 2𝑥+1/x-2?

Accepted Answer

A. 1/4

Answer

D. 4

Answer

C. 2

Answer

B. -1/2

Question 9

The denominator of a fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction.

Accepted Answer

B. 3/5

Answer

C. 5/7

Answer

D. 7/9

Answer

A. 1/3

Question 10

Which of the following is a one-to-one function?

Accepted Answer

A. Student to LRN

Answer

B. Teacher to students

Answer

C. An even number to its factors

Answer

D. Yes or No questions to answers

Question 11

Which of the following functions is the inverse of f(x)=3x-2?

Accepted Answer

D. (f-1) x= 2x+3x

Answer

C. (f-1) x= 2x-3x

Answer

B. (f-1) x= x2x+3

Answer

A. (f-1) x= x2x-3

Question 12

Marvin knows that to convert Celsius to Fahrenheit, he needs to multiply the given C by 9, dividethe answer by 5 and then add 32. One time her mother called Marvin and told her that the temperatureof his younger brother is 105.8 degrees Fahrenheit. Knowing only the formula to convert C to F andthat the normal body temperature is 37 degrees Celsius and below, should Marvin be worried about hisbrother?

Accepted Answer

B. Yes. His brother has a high fever.

Answer

C. Yes. His brother is nowhere to be found.

Answer

A. No. The brother has no fever at all.

Answer

D. No. There is someone to take care of the younger child.

Question 13

The COVID-19 pandemic has changed many aspects of human life. To show how fast the virusspreads, Teacher Thelma makes a simple illustration, starting from 1 person infecting 2 others whichin turn infect four more. She then explains how this rate can be explained using an exponentialfunction. Which of the following illustrates the number of new cases?

Accepted Answer

B. 1, 2, 4, 8, 16, 32, …

Answer

D. 1, 2, 4,16, 64,…

Answer

C. 1, 2, 4, 64, 256,…

Answer

A. 1, 2, 4, 6, 8, 10, 12,…

Question 14

Suppose 5^2x+1 > 125, what is x?

Accepted Answer

C. x > 1

Answer

A. x = 1

Answer

B. x < 1

Answer

D. x ≥ 1

Question 15

What is the asymptote of the graph of f(x)= 3x+1?

Accepted Answer

C. y = 0

Answer

C. y = 3

Answer

B. y =1/3

Answer

A. y = -1

Question 16

Teacher Thelma told her class about the element Francium which has a half-life of 22 minutes. Ifat a certain point a container has 100 grams of this element, how much of it will remain after 1 hourand 6 minutes?

Accepted Answer

A. 12.5g

Answer

D. 75g

Answer

B. 25g

Answer

C. 50g

Question 17

The spread of the virus in a certain town can be predicted using the function f(x)= 3x+1 where fis the number of new cases and x is the number of days after transmission was ini

Accepted Answer

C. 7^th day

Answer

A. 5^th day

Answer

B. 6th day

Answer

D. 8^th day

Question 18

The magnitude (R) is determined by the logarithm of the ratio of the measure of the amplitude ofthe earthquake wave (A) and the amplitude of the smallest detectable wave (Ao). Which of thefollowing represents the function for the Richter scale?

Accepted Answer

B. R= log (A/Ao)

Answer

A. R=log (A)(Ao)

Answer

D. R= log (Ao) /A

Answer

C. R= log (Ao/A)

Question 19

Which of the following is the correct logarithmic form of 3^{- 4}= 1/81

Accepted Answer

A. log₃ 1/81 = -4

Answer

D. log_1/81-4 = 3

Answer

C. log_1/81 3 = -4

Answer

B. log₃-4 = 1/81

Question 20

Solve the inequality log₃ (2x-3) < 2

Accepted Answer

C. 3/2 < x < 6

Answer

D. 2/3 < x < 6

Answer

B. 2/3 < x < 2

Answer

A. x³/2 < x < 2

Question 21

What equation could represent the logarithmic function (1, 0) (5, 1) (25, 2) (125, 3),…

Accepted Answer

A. y=log₅ x

Answer

D. x=log_y 5

Answer

C. y=log_x 5

Answer

B. x=log₅ y

Question 22

Given the logarithmic function D(m)= log₃ (m+5), which of the following CANNOT be a value

Accepted Answer

A. m = -6

Answer

B. m = -2

Answer

D. m = 6

Answer

C. m = 2

Question 23

What is the vertical asymptote of the logarithmic function f(x)= log₄x?

Accepted Answer

A. x = 0

Answer

D. x = 4

Answer

B. x = 1

Answer

C.  x = 2

Question 24

If log 2 = 0.301 and log 3 = 0.477, find log 24.

Accepted Answer

B. 1.380

Answer

C.1.732

Answer

D. 2.334

Answer

A. 0.778

Question 25

Solve for x: log_b x=4 log_b 2+ log_b 3

Accepted Answer

D. 48

Answer

C. 36

Answer

B. 24

Answer

A. 12

Question 26

Wars do nothing but claim the life, peace, or happiness of all people involved. Countries exerteffort to keep their economies stable. Businessmen will also try to keep their businesses open andkeep up with the current market trend. For example, Mr de Guzman decides to take a loan ofP5,000,000 to buy the raw materials for his factory.

Which of the following best illustrates a simple interest on Mr de Guzman's loan?

Accepted Answer

B. After each year the principal amount will incur a fixed amount of interest.

Answer

D. After a year, the principal amount will be charged the interest rate. For the second year, the newprincipal amount will be the principal plus the interest for the first year.

Answer

C. During the first year, there will be 1% interest, 2% interest for the second year and 3% interest for the third year and so on.

Answer

A. For each year, the interest and the principal accumulate.

Question 27

Wars do nothing but claim the life, peace, or happiness of all people involved. Countries exerteffort to keep their economies stable. Businessmen will also try to keep their businesses open andkeep up with the current market trend. For example, Mr de Guzman decides to take a loan ofP5,000,000 to buy the raw materials for his factory.

Which of the following best illustrates a simple interest on Mr de Guzman's loan?

Suppose the loan of Mr. De Guzman is given a simple interest rate of 10% per year by Bank A,how much will be the interest for the first year?

Accepted Answer

D. P500,000.00

Answer

A. P500.00

Answer

B. P5000.00

Answer

C. P50,000.00

Question 28

Wars do nothing but claim the life, peace, or happiness of all people involved. Countries exerteffort to keep their economies stable. Businessmen will also try to keep their businesses open andkeep up with the current market trend. For example, Mr de Guzman decides to take a loan ofP5,000,000 to buy the raw materials for his factory.

Which of the following best illustrates a simple interest on Mr de Guzman's loan?

Suppose Bank B is offering Mr. De Guzman 8% annual interest rate compounded semi-quarterly,while Bank C offers 6% interest rate compounded monthly. What is the interest earned by the moneyafter 1 year if he chooses Bank B?

Accepted Answer

D. P408,000.00

Answer

A. P408.00

Answer

B. P4,080.00

Answer

C. P40,800.00

Question 29

Wars do nothing but claim the life, peace, or happiness of all people involved. Countries exerteffort to keep their economies stable. Businessmen will also try to keep their businesses open andkeep up with the current market trend. For example, Mr de Guzman decides to take a loan ofP5,000,000 to buy the raw materials for his factory.

Which of the following best illustrates a simple interest on Mr de Guzman's loan?

If Mr. De Guzman is to take the offer of Bank C, what will be the maturity value of his loan aftertwo years?

Accepted Answer

C. P 5,635,799.00

Answer

D. P 5,935,799.00

Answer

B. P 5,632,463.00

Answer

A. P 5,362,463.00

Question 30

Wars do nothing but claim the life, peace, or happiness of all people involved. Countries exerteffort to keep their economies stable. Businessmen will also try to keep their businesses open andkeep up with the current market trend. For example, Mr de Guzman decides to take a loan ofP5,000,000 to buy the raw materials for his factory.

Which of the following best illustrates a simple interest on Mr de Guzman's loan?

Suppose the loan of Mr. De Guzman is given a simple interest rate of 10% per year by Bank A

Suppose Bank B is offering Mr. De Guzman 8% annual interest rate compounded semi-quarterly, while Bank C offers 6% interest rate compounded monthly.

Which of the three banks should Mr. De Guzman choose for his loan if he plans to pay it after a year?

Accepted Answer

A. Bank C

Answer

A. Bank A

Answer

B. Bank B

Answer

D. Either A or C

Question 31

Which of the following illustrates a simple annuity?

Accepted Answer

A. Mr. Reyes pays P5,000.00 monthly and his money earns monthly interest.

Answer

B. Mr. Reyes pays P5,000.00 monthly and his money earns yearly interest.

Answer

C. Mr. Reyes pays P5,000.00 yearly and his money earns monthly interest

Answer

D. Mr. Reyes pays P5,000.00 yearly and his money earns quarterly interest.

Question 32

If Mr. Reyes pays ₱100.00 at the end of each month for 30 years on an account that pays interest at10% compounded monthly, how much money will he have after 30 years

Accepted Answer

A. P226,048.80

Answer

D. P256,048.80

Answer

C. P246,048.80

Answer

B. P236,048.80

Question 33

Mr. Reyes received two offers for a lot he is selling. Company A offers payments of P50,000.00downpayment and P1,000,000.00 lump sum payment after 5 years from now. Company B offeredP50,000.00 downpayment plus P40,000.00 quarterly payments for 5 years. Compare the fair marketvalue of the two offers if the money can earn 5% compounded annually. Which offer has a highermarket value?

Accepted Answer

A. Company A

Answer

D. No offer is good enough

Answer

B. Company B

Answer

C. Both offers are good

Question 34

What is the period of deferral for a monthly payment of P75,000.00 for 4 years that will start 8months from now?

Accepted Answer

B. 7 periods or 7 months

Answer

A. 6 periods or 6 months

Answer

D. 9 periods or 9 months

Answer

C. 8 periods or 8 months

Question 35

Which of the following shows what stocks are?

Accepted Answer

D. Mr. Dimagiba sells part of his company to investors and allows them to be part owners of the company.

Answer

C. Mr. Dimagiba guarantees investors of interest payments and a return of their money at the maturity date.

Answer

B. This is a scheme where Mr. Dimagiba can borrow money from investors.

Answer

A. Mr. Dimagiba is a retiree and stocks guarantee a fixed income for him.

Question 36

Which is true about the difference between stocks and bonds?

Accepted Answer

C. Statements A and B are both correct.

Answer

A. Stocks have high risk while bonds offer lower risk.

Answer

D. Statements A and B are both wrong

Answer

B. Stocks tend to have higher income than bonds.

Question 37

The table below shows data of Stock GGG of Company X.

What was the lowest price of stock GGG in the past 52 weeks?

Accepted Answer

B. 105

Answer

C. 120

Answer

D. 118.5

Answer

A. 3.5

Question 38

What was the dividend per share last year?

Accepted Answer

A. 3.5

Answer

C. 120

Answer

D. 118.5

Answer

B. 105

Question 39

It is a method of paying a loan (principal and interest) on installment basis usually of equal amounts at regular interval.

Accepted Answer

C. Amortization

Answer

A. Collateral

Answer

D. Chattel Mortgage

Answer

B. Mortgage

Question 40

Mr. Sy borrowed P350,000.00 and he promised to pay in full after 3 years. If the interest rate is7.5% compounded annually, how much should be paid after 3 years?

Accepted Answer

C. P434,803.91

Answer

B. P374,986.35

Answer

A. P243,652.73

Answer

D. P556,497.67

Question 41

Suppose your loan for a car worth P899,000.00 requires a 20% down payment. How much is themortgage?

Accepted Answer

D. P719,200.00

Answer

B. P359,600.00

Answer

C. P539,400.00

Answer

A. P179,800.00

Question 42

Three friends are talking about their future dreams. The following are excerpts of their conversation. Which illustrates a proposition?

Accepted Answer

B. Mario: I will become a doctor.

Answer

C. Luigo: What do you want to be when you grow up?

Answer

A. Linda: Wow!

Answer

D. Luigo: Why not become a teacher like your mother?

Question 43

Given propositions

p: Mathematics is difficult.

q: Logic is Fun.

r: I love Math.

Which statement corresponds to ~ q?

Accepted Answer

C. Logic is not fun.

Answer

B. Logic is boring.

Answer

D. Logic is not difficult

Answer

A. Logic is easy.

Question 44

Given propositions

p: Mathematics is difficult.

q: Logic is Fun.

r: I love Math.

Which statement corresponds to p - > ~ r?

Accepted Answer

D. If mathematics is difficult then I do not love ma

Answer

A. If mathematics is difficult then I love math.

Answer

C. If I love mathematics, then math is not difficult.

Answer

B. If I love mathematics, then math is difficult.

Question 45

What symbolic form corresponds in the proposition “Either math is difficult or I love math”?

Accepted Answer

A. p ∨ r

Answer

C. p ∨ ~ r

Answer

B. p ∧ q

Answer

D. p ∧ ~ q

Question 46

Given the propositions:

p: Elma is a teacher.

q: Arvin is a doctor.

If both propositions are true, what is the truth value of the proposition Elma is a teacher and

Arvin is not a doctor?

Accepted Answer

B. False

Answer

D. Not enough information

Answer

C. Either true or false.

Answer

A. True

Question 47

Given the propositions:

p: Elma is a teacher.

q: Arvin is a doctor.

If proposition p is false while q is true, what is the truth value of the compound proposition

Arvin is not a doctor or Elma is a teacher?

Accepted Answer

A. True

Answer

C. Either true or false.

Answer

D. Not enough information

Answer

B. False

Question 48

Which of the following is False if p is true and q is false?

Accepted Answer

B. p → q

Answer

D. ~ p → q

Answer

A. p ∨ q

Answer

C. ~ p ↔ q

Question 49

Which of the following is the converse statement of the conditional proposition “If the test is easy, then Diane will pass the test”?

Accepted Answer

A. If Diane will pass the test, then the test is easy

Answer

C. If Diane will not pass the test, then the test is easy

Answer

D. If Diane will not pass the test, then the test is not easy

Answer

B. If Diane will pass the test, then the test is not easy

Question 50

Which of the following is a tautology?

Accepted Answer

D. I made this with my own hand.

Answer

A. The laptop is hot.

Answer

C. I came to you for help.

Answer

B. The singer is good.

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