Question 1

What type of function would best represent the situation stated below? “A user is charged P300 monthly for a particular mobile plan which includes 100 free text messages for all networks and 300mb of data usage. Messages in excess of 100 is charged P1 each.”

30

linear function

logarithmic function

piece-wise function

power function

Accepted Answer

piece-wise function

Answer

linear function

Answer

logarithmic function

Answer

power function

Question 2

What is the value of the function 𝑓(𝑥) = 2𝑥 + 1 if 𝑥 = 1.5?

Accepted Answer

4

Answer

3.5

Answer

26

Answer

31

Question 3

If 𝑓(𝑥) = 2𝑥 + 7 and 𝑝(𝑥) = 𝑥 − 3, then what is 𝑓(𝑝(𝑥))

Accepted Answer

2x + 1

Answer

2x – 10

Answer

2x + 14

Answer

2x – 6

Question 4

Mark started selling snacks in the nearby school. In one day, he spends P200 for rent andP25 for each snack item he prepares. His expenses in a single day can be expressed as the function 𝐶(𝑥) = 25𝑥 + 200, where x is the number of items and C(x) is his daily expenses in pesos. How much are his expenses if he prepares 100 snack items?

Accepted Answer

P2700

Answer

P3000

Answer

P3500

Answer

P2000

Question 5

The local barangay received a budget of P100,000 to provide medical checkups for the children in the barangay. The amount is to be allotted among all the children in the barangay. Write the equation representing the relationship of the allotted amount per child (y) versus the total number of children (x).

Accepted Answer

𝑦 = 100000/𝑥

Answer

𝑦 = 100000 + 𝑥

Answer

𝑦 = 100000 − 𝑥

Answer

𝑦 = 100000𝑥

Question 6

Which of the following can be classified as a rational equation?

Accepted Answer

$\frac{x+1}{x-2}$ = 𝑥²

Answer

𝑓(𝑥)=𝑥²+2𝑥+1

Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Question 7

What is the value of x in 2/x − 3/2x = 1/5?

Accepted Answer

5/2

Answer

7/2

Answer

3/2

Answer

1/2

Question 8

Which function is represented by the graph given below:

Accepted Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Question 9

What is the domain of the function illustrated in item #8?

Accepted Answer

(−∞,−2)∪(−2,∞)

Answer

(−∞,2]∪[2,∞)

Answer

(−∞,−2]∪[−2,∞)

Answer

(−∞,2)∪(2,∞)

Question 10

Past records from a factory producing electronic components show that on average, new employees can assemble N(t) components per day after t days of training, where 𝑁(𝑡) = $\frac{75𝑡}{𝑡+5}$ , 𝑡 ≥ 0. What happens when 𝑡 → ∞?

Accepted Answer

𝑁(𝑡) → ∞

Answer

𝑁(𝑡) → 5

Answer

𝑁(𝑡) → 0

Answer

𝑁(𝑡) → 75

Question 11

Which situation indicates a one-to-one function?

Accepted Answer

pairing of an SSS member to his or her SSS number

Answer

pairing a distance traveled along a given jeepney route to the jeepney fare

Answer

pairing a real number to its square

Answer

pairing a person to his or her citizenship

Question 12

Let f(x) = 2x+4, g(x) = 3x and h(x) = x²-1, What is (f ° g)(x)?

Accepted Answer

6x+4

Answer

6x+12

Answer

9x2-1

Answer

2x2+2

Question 13

If p(x) is the inverse of f(x) where, 𝑓(𝑥) = 3𝑥 + 1, then what is p(x)?

Accepted Answer

(x-1)/3

Answer

x+3

Answer

x+1

Answer

(x+3)/3

Question 14

Which of the following table of values represent the inverse of 𝑓(𝑥) = 𝑥 + 5?

Accepted Answer

https://uploads.quizalize.com/92107ed9-2ea7-4827-9387-db4278ab7f70/question/786ea9b4733ba85aaa20a69c51ac11f89cab2fe4.png

Answer

https://uploads.quizalize.com/92107ed9-2ea7-4827-9387-db4278ab7f70/question/d89cd6a894038e620b8d0a7260f25256d5a12d8c.png

Answer

https://uploads.quizalize.com/92107ed9-2ea7-4827-9387-db4278ab7f70/question/bf241e063aa7668833ea369ed3b4ecf034b23219.png

Answer

https://uploads.quizalize.com/92107ed9-2ea7-4827-9387-db4278ab7f70/question/f4149063aeffe66fcbca7aff10c7abbbb667c3a3.png

Question 15

Which of the following statement is TRUE if p(x) is the inverse of f(x)?

Accepted Answer

The domain of p(x) is the range of f(x)

Answer

The domain and range of p(x) is the same as that of f(x).

Answer

The domain of p(x) is the domain of f(x)

Answer

The range of p(x) is the range of f(x)

Question 16

Complete the statement below:If we plot the inverse of a function, we reflect the original function about the line ______________.

Accepted Answer

𝑦 = 𝑥

Answer

𝑦 = -𝑥

Answer

𝑦 = −2𝑥

Answer

𝑦 = 2𝑥

Question 17

Engineers have determined that the maximum force t in tons that a particular bridge can carry is related to the distance d in meters between its supports by the following function: 𝑡(𝑑) =( $\frac{75𝑡}{𝑡+5}$ )³. What function shows how far the supports should be?

Accepted Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Question 18

Which of the following situations illustrate an exponential function?

Accepted Answer

The population of bacteria doubles every three days

Answer

The price of the house depreciates yearly

Answer

The amount to be paid for computer rentals is P20 per hour.

Answer

The number of students increases by 500 annually

Question 19

Which of the following is an exponential inequality?

Accepted Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Answer

$\frac{x+1}{x-2}$

Question 20

What is x if 4^𝑥−1 = 16?

Accepted Answer

3

Answer

2

Answer

4

Answer

1

Question 21

Which of the following is TRUE about the graph of 𝑦 = 2^𝑥?

Accepted Answer

As x increases without bound, the function approaches 0

Answer

As x decreases without bound, the function intersects 0

Answer

As x increases without bound, the function intersects 0

Answer

As x decreases without bound, the function approaches 0

Question 22

Which of the following is NOT a property of the exponential function of the form𝑓(𝑥) = 𝑏^𝑥?

Accepted Answer

The range is the set of R

Answer

The y-intercept is 1.

Answer

It is a one-to-one function

Answer

The domain is the set of R

Question 23

Which of the following is TRUE about the graph of 𝑔(𝑥) = (1/2)^𝑥?

Accepted Answer

Its y-intercept is 1

Answer

Its asymptote is the y-axis

Answer

Its graph is increasing from left to right

Answer

Its x-intercept is 0

Question 24

A population starts with 1,000 individuals and triples every 80 years. What is the population after 100 years?

Accepted Answer

3948

Answer

2549

Answer

2958

Answer

3250

Question 25

Which of the following is the logarithmic form of 5³ = 125?

Accepted Answer

log₅ 125 = 3

Answer

log₃ 125 = 5

Answer

log₁₂₅ 3 = 5

Answer

log₅ 3 = 12

Question 26

What is x in log𝑥 16 = 2?

Accepted Answer

4

Answer

6

Answer

2

Answer

8

Question 27

Suppose you have seats to a concert featuring your favorite musical artist. Find the approximate decibel level associated if a typical concert’s sound intensity is 10-2 W/m2.

Accepted Answer

100dB

Answer

200dB

Answer

50dB

Answer

10dB

Question 28

Express 2ln 𝑥 − ln 𝑦 as a single logarithm.

Accepted Answer

ln (𝑥²)/𝑦

Answer

ln(2𝑥𝑦)

Answer

ln (2𝑥/Y)

Answer

ln(𝑥²𝑦)

Question 29

Which of the following logarithmic function is the inverse of 𝑦 = 2^𝑥?

Accepted Answer

𝑦 = log₂ 𝑥

Answer

𝑦 = log_𝑦 2

Answer

𝑦 = log_𝑥 2

Answer

𝑥 =log_𝑥 2

Question 30

Which of the following is TRUE about the graph of 𝑦 = log_1/2 𝑥?

Accepted Answer

As x approaches zero from the right, the function increases without bound

Answer

As x approaches zero from the left, the function increases without bound

Answer

As x approaches zero from the right, the function approaches 1

Answer

As x approaches zero from the left, the function approaches 1

Question 31

How much interest is charged when P50,000 is borrowed for 9 months at an annual simple interest rate of 10%?

Accepted Answer

P3750

Answer

P5050

Answer

P3000

Answer

P9050

Question 32

What is the total amount of money in a savings account after t years at an interest rate r?

Accepted Answer

Maturity Value

Answer

Principal

Answer

Term

Answer

Interest

Question 33

At what simple interest rate per annum will P25,000 accumulate to P33,000 in 5 years?

Accepted Answer

6.4%

Answer

5.5%

Answer

12%

Answer

7.2%

Question 34

How much money should a student place in a time deposit in a bank that pays 1.1%compounded annually so that he will have P200,000 after 6 years?

Accepted Answer

Around P190,000

Answer

Around P130,000

Answer

Around P100,000

Answer

Around P150,000

Question 35

Mr. Khufra deposits 2400.00 Php at the end of the month in a Rural Bankin the City of Balanga which pays 5% interest compounded monthly. If there were no withdrawals made by Mr.Khufra, how much will be the future value after 5 years.

Accepted Answer

P162,384.43

Answer

P161,338.34

Answer

P163,234.48

Answer

P162,842.43

Question 36

How much time is needed for money to triple if invested at 9% compounded semi-annually?

Accepted Answer

10.5 years

Answer

15.5 years

Answer

12.5 years

Answer

6.5 years

Question 37

Which of the following refers to a sequence of payments made at equal (fixed) intervals or periods of time?

Accepted Answer

annuity

Answer

investment

Answer

amortization

Answer

mortgage

Question 38

What kind of annuity does not begin until a given time interval has passed?

Accepted Answer

deferred

Answer

ordinary

Answer

annual

Answer

immediate

Question 39

A form of equity financing or raising money by allowing investors to be part owners of the company is an example of?

Accepted Answer

Bond

Answer

Stock

Answer

Security

Answer

Insurance

Question 40

Which of the following is a form of equity financing or raising money by allowing investors to be part owners of the company?

Accepted Answer

Stock

Answer

Savings

Answer

Loan

Answer

Bond

Question 41

Which is a form of debt financing or raising money by borrowing from investors?

Accepted Answer

Loan

Answer

Savings

Answer

Bond

Answer

Stock

Question 42

Which of the following statement about the interest rate of consumer and business loans is correct?

Accepted Answer

The business loan has higher interest than a consumer loan.

Answer

Consumer and business loans are alwaysequal in interest rates.

Answer

The business loan has no interest rate, unlike consumer loan

Answer

Consumer loan has a higher interest rate than a business loan.

Question 43

A certain corporation declared a 3% dividend on a stock with a par value of P500. Mrs. Ligaya owns 200 shares of stock with a par value of P500. How much is the dividend she received?

Accepted Answer

P3000

Answer

P2000

Answer

P5000

Answer

P2500

Question 44

Which of the following is NOT a characteristic of bonds?

Accepted Answer

A form of debt financing or raising money by borrowing from investors

Answer

It can be appropriate for retirees (because of the guaranteed fixed income) or for those who need the money soon.

Answer

Investors can earn if the security prices increase, but they can lose money if the security prices decrease or worse if the company goes bankrupt

Answer

Investors are guaranteed interest payments and a return of their money at the maturity date

Question 45

What type of loan is illustrated by the situation below: Roan has a computer shop. She owns 6 computers. She decided to borrow some money from the bank to buy 10 more computers.

Accepted Answer

Business Loan

Answer

Single Loan

Answer

Consumer Loan

Answer

Investor's Loan

Question 46

Mr. Catapang obtained a 10-year mortgage for P1,200,000. If his monthly payment isP39,500, how much is the total interest?

Accepted Answer

P540,000

Answer

P820,000

Answer

P340,000

Answer

P450,000

Question 47

Which of the following is NOT a proposition?

Accepted Answer

Smile at your seatmate

Answer

2.5 is an integer

Answer

Jose Rizal is our National Hero

Answer

Ferdinand Magellan did not arrive in Philippines in 1521

Question 48

Express the proposition below in symbols.

p: Victor has a date with Liza.

q: Janree is sleeping.

v: Eumir is eating.

“Either Victor has a date with Liza or Janree is sleeping or Eumir is eating.”

Accepted Answer

(𝑝 ∨ 𝑞) ∨ 𝑟

Answer

(𝑝 ∧ 𝑞) ∨(𝑝 ∧ 𝑟)

Answer

𝑝 ∨(𝑞 ∨ 𝑟)

Answer

(𝑝 ∧ 𝑞) ∨ 𝑟

Question 49

Complete the statement. “A proposition that is always true is called a tautology, while a proposition that is always false is called a ____________________”.

Accepted Answer

contradiction

Answer

hoax

Answer

argument

Answer

decision

Question 50

Let p, q and r be propositions, which of the following illustrates Modus Ponens in propositional form?

Accepted Answer

((𝑝 → 𝑞) ∧ 𝑝) → 𝑞

Answer

((𝑝 → 𝑞) ∧ (~𝑞)) → ~

Answer

(𝑝 ∧ 𝑞) → (𝑝 ∧ 𝑞)

Answer

((𝑝 → 𝑞) ∧ (~𝑝) → 𝑞

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