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Worksheets

SHS District Quiz Bee

Total questions: 21

Worksheet time: 15mins

Name
Class
Date
1.

In the linear form y = 2x + 3, which is the independent variable?

a)

b

b)

m

c)

x

d)

y

2.

A method of testing whether a graph represents a function by determining whether a vertical line intersects the graph no more than once.

a)

vertical line test

b)

horizontal line test

c)

t-test

d)

z-test

3.

Find the vertical asymptote of the graph of (x) = log log x - 2.

a)

x =1

b)

x = 0

c)

x = -1

d)

x = 2

4.

Which of the following is the set of all values that f(x) take?

a)

Range

b)

Domain

c)

Intercept

d)

Zeroes

5.

A person can encode 1000 words in every hour of typing job. Which of the following expresses the total words W as a function of the number n of hours that the person can encode?

a)

W(n) = 1000 + n

b)

W(n) = 1000n

c)

W(n) = 1000/ n

d)

W(n) = 1000 - n

6.

Which of the following is an example of rational function?

a)

5xx1=3\frac{5x}{x-1}=3

b)

f(x)=5x2x1f\left(x\right)=\frac{5x-2}{x-1}

c)

2xx1>2\frac{2x}{x-1}>2

d)

5xx3<4\frac{5x}{x-3}<-4

7.

 Evaluate the function f(x)=4x2+3x5f\left(x\right)=4x^2+3x-5 at x = -2.

a)

5

b)

6

c)

7

d)

8

8.

1. What type of relation is illustrated in the figure?

a)

Many to one

b)

One to one

c)

One to many

d)

Many to many

9.

Tell whether the set of order pairs is a function or not {(5.-3), (3,6), (0, 3), (7, -3)}.

a)

Relation

b)

Not a function

c)

Function

d)

None

10.

Find the product of f(x) and h(x) if f(x) = 7x -2 and h(x) = x - 2 .

a)

7x2 + 16 x - 4

b)

7x2 - 16 x - 4

c)

7x2 + 16 x + 4

d)

7x2 - 16 x + 4

11.

Find the inverse of the function f(x) = -2x +7.

a)

f1(x)=x72f^{-1}(x)=\frac{x-7}{2}

b)

f1(x)=x+72f^{-1^{ }}\left(x\right)=\frac{x+7}{2}

c)

f1(x)=x27f^{-1}\left(x\right)=\frac{x-2}{7}

d)

f1(x)=x+27f^{-1}\left(x\right)=\frac{x+2}{7}

12.

Given (x) = x 2 + 5x + 6, and ℎ(x) = x + 2; find (f ∘ ℎ)(x).

a)

2x2 - 1

b)

3x2 + 6x - 1

c)

3x4 - 6x2 - 1

d)

x2 + 9x + 20

13.

Solve each radical equation: 4x + 2x+13=12x21\frac{4x\ +\ 2}{x+1}-3=\frac{12}{x^2-1}  


a)

x = -5, 2

b)

x = 4, -3

c)

x = 5, -2

d)

x = 3, -4

14.

How much will you deposit in Banco De Oro if you wish to accumulate PhP 64, 800 in a year if the bank offers an interest rate of 8% compounded annually?

a)

P 54, 000

b)

P 56, 000

c)

P 58, 000

d)

P 60, 000

15.

Express log 3 + log 5 as a single logarithm.

a)

log 3/5

b)

log 15

c)

log 8

d)

log 35

16.

If f(x) = 3x2 - 2x + 7 and g(x) = x - 4, find and simplify the composite function (f ∘ g)(x).

a)

(f ∘ g)(x) = 3x2 - 26 + 63

b)

(f ∘ g)(x) = 3x2 - 26 - 63

c)

(f ∘ g)(x) = 3x2 + 26 + 63

d)

(f ∘ g)(x) = 3x2 + 26 - 63

17.

1. Find the value of x of the exponential equation 92x-5 = 27x-4.

a)

x = 2

b)

x = 3

c)

x = -2

d)

x = -3

18.

Aljoe and his friend are playing a number - guessing game. Aljoe asks his friend to think a positive number, then add four to the number. Next, square the resulting number, and multiply the result by 3. Finally, divide the result by 2. If you are his friend and you get a result of 50, (a) write an inverse function that will give you the original number and (b) determine the original number.

a)

f −1(x) =√x/2 − 3; original number is 2

b)

f −1(x)=√x/3 − 3; original number is 3

c)

f −1(x) =√x/4 − 3; original number is 4

d)

f −1(x) =√x/5 − 3; original number is 5

19.

1. COVID-19 pandemic according to news is spreading rapidly, transferring from human to human. It is a kind of virus that affects the human respiratory system and it is commonly associated with cough, pneumonia, SARS (Severe Acute Respiratory Syndrome), and other respiratory-related infections. Let us assume that the virus has an initial population of 10,000 and grows to 25,000 after 50 minutes. Assume that its growth follows an exponential model f(t) = Aekt representing the number of viruses after t minutes. The e is used in the model because the virus continuously grows over time.

a. Find A and k.

b. Use the model to determine the number of viruses after 6 hours.

a)

A=-15, 000, k=0.08132, viruses after 6 hrs is 7,513,257

b)

A=-12, 000, k=0.01823, viruses after 6 hrs is 7,315,257

c)

A=-10, 000, k=0.01832, viruses after 6 hrs is 7,315,752

d)

A=-8, 000, k=0.1832 , viruses after 6 hrs is 7,513,752

20.

Shirley is planning to invest ₱ 150,000.00. Banco de Oro is offering 1.15% compounded semi – annually, while Pag-asa Cooperative Bank offers 1.25% compounded monthly. Which bank offers the smaller interest?

a)

Both

b)

None

c)

Banco de Oro

d)

Pag-asa Cooperative Bank

21.

What value/s of x that will make the function meaningless ? f(x)=x1xf\left(x\right)=\frac{x-1}{x}  ?


a)

x = -1

b)

x = 0

c)

x = 1

d)

All real numbers