Republic of the Philippines
Department of Education
REGION VI – WESTERN VISAYAS
SCHOOLS DIVISION OF ILOILO
NAPNAPAN NATIONAL HIGH SCHOOL
FIRST QUARTER EXAMINATION IN GENERAL MATHEMATICS GRADE 11
First Semester, S.Y. 2022-2023
Name: ____________________________Grade & Section: _______________________Score: ________
Directions: Read each item carefully and write your answers in the answer sheet.
I. MULTIPLE CHOICE: Write the letter of the best answer in your answer sheet.
1. Which of the following sets of ordered pairs is a function?
a. {(2,1), (2,2), (3,1), (4,3)}
b. {1,2), (2,4), (3,2), (4,3)}
c. {(4,2), (2,3), (2,1), (4,3)}
d. {(2,1), (2,2), (3,1), (4,3)}
2. Which of the following mapping diagrams represent a function?
x
y
x
y
x
y
a. 1
3
b.
1
c.
3
2
5
5
3
2
4
3
6
4
5
5
4
7
7
7
3. Given f(x)= 2x + 1. What is the value of f(2)?
a. 45
b. 5
4. Which
a.
b.
c.
d.
c. 6
y
2
4
6
7
d. 7
of the following set of ordered pairs is a relation?
{(2,1), (2,2), (3,1), (4,3)}
{1,2), (2,4), (3,2), (4,3)}
{(1,2), (2,3), (3,1), (4,3)}
{(2,1), (1,2), (3,1), (4,3)}
5. What is f(x) + g(x), if f(x)= 3x + 17 and g(x)=6x – 8?
a. 9x + 25
b. 6x + 9
c. 9x + 9
6. Which of the following is a graph of a function?
a.
c.
b.
d.
x
1
2
3
d.
d. 9x – 9
7. What is f(x) - g(x), if f(x)= 7x + 22 and g(x)= 6x + 8?
a. x + 14
b. x - 14
c. 13x + 14
d. 13x – 14
8. Given g(x) = 3x2 + 9. What is the value of g(3)?
a. 9
b. 27
d. 45
c. 36
9. Which of the following equations represents a quadratic function?
a. f(x) = 3 +2x2
c. f(x) = 3x – 22
b. 2y2 + 3 = x
d. f(x) = 2x – 3
10. In an organ pipe, the frequency f of vibration of air is inversely proportional to the length L of
the pipe.1 Suppose that the frequency of vibration in a 10-foot pipe is 54 vibrations per second.
Express f as a function of L.
𝐿
a. 𝑓(𝐿) = 540
b. 𝑓(𝐿) =
540
𝐿
𝐿
c. 𝐿(𝑓) = 540
11. Let 𝑓(𝑥) = 2𝑥 + 1, 𝑔 (𝑥) = 𝑥 + 1. Find and simplify (f ° g)(x).
a. 2x+3
b. 2x-3
c. 3x +2
d. 𝐿(𝑓) =
540
𝐿
d. 3x + 3
12. The distance from Manila to Baguio is around 250 kilometers. How long will it take you to get to
Baguio if your average speed is 25 kilometers per hour?
a. 5 hrs.
b. 10 hrs.
c. 15 hrs.
d. 20 hrs.
13. Let 𝑓(𝑥) = 2𝑥 + 1, 𝑔 (𝑥) = 𝑥 + 1. Find and simplify (g ° f)(x).
a. -2x+2
b. 2x+2
c. 2x -2
d. x +2
14. The distance from Manila to Baguio is around 250 kilometers. Construct a function (s), where s is
the speed of travel that describes the time it takes to drive from Manila to Baguio.
a. 𝑡(𝑠) =
𝑠
250
b. 𝑠(𝑡) =
250
𝑠
c. 𝑡(𝑠) =
250
𝑡
d. 𝑠(𝑡) = 250
𝑠
15. What is f(x) · g(x), if f(x)= x + 5 and g(x)= x + 4?
a. x2 + 9x – 20
b. x2 + 9x + 20
c. x2 + 9x – 9
d. x2 + 9x + 9
16. Given p(x) =2x2 + 5x + 5. What is the value of p(5)?
a. 75
b. 80
c. 85
d. 90
17. The quadratic function f(x) = x2 + 2x -1 is expressed in standard form as
a. f(x) = ( x + 1 )2 + 1
c. f(x) = ( x + 1 )2 + 2
b. f(x) = ( x + 1 )2 – 2
d. f(x) = ( x + 1 )2 – 1
18. What is f(x) = -3(x + 2)2 + 2 when written in the form f(x) = ax2 + bx + c?
a. f(x) = -3x + 12x – 10
c. f(x) = -3x + 12x + 10
b. f(x) = 3x – 12x + 10
d. f(x) = -3x – 12x – 10
19. Which of the following mapping diagrams represent a relation?
x
y
x
y
x
y
a. 1
3
b. 1
c.
3
2
5
5
3
2
4
3
6
4
5
5
4
7
7
7
20. What is f(x) ÷ g(x), if f(x)= x2 + 4x + 4 and g(x)= x + 2?
a. -x + 2
b. x – 2
c. -x – 2
5
d.
x
1
2
3
7
y
2
4
6
d. x + 2
21. Which of the following is a graph of a relation?
a.
c.
b.
d.
22. Let 𝑝(𝑥) = 3𝑥 + 3, 𝑞 (𝑥) = 2𝑥 + 2. Find and simplify (p ° q)(3).
a. 18
b. 24
c. 27
23. Let 𝑡(𝑥) = 3𝑥 + 3, 𝑠 (𝑥) = 2𝑥 + 2. Find and simplify (t ° s)(x).
a. 6x – 9
b. 9x – 6
c. 9x + 6
3
24. Given c(x)= 3x + 3x+ 3. What is the value of c(3)?
a. 92
b. 93
c. 94
25. Which of the following is a rational function?
a. 3x – 55x + 5 = 0
b. x > 2x + 12
c. f(x) = 3 +2x2
d. 30
d. 6x + 9
d. 95
d. 3x3 + x < 15
26. The distance from Tigbauan to Miagao is around 25 kilometers. How long will it take you to get to
Miagao if your average speed is 5 kilometers per hour?
a. 5 hrs.
b. 10 hrs.
c. 15 hrs.
d. 20 hrs.
27. Which of the following is a rational equation?
a. 3x – 55x + 5 = 0
b. x > 2x + 12
c. f(x) = 3 +2x2
d. 3x3 + x < 15
28. Which of the following is a rational inequality?
a. 3x – 55x + 5 = 0
b. x > 2x + 12
c. f(x) = 3 +2x2
d. None of these
(𝑥)
29. Let 𝑝(𝑥) = 3𝑥 − 10, 𝑞
= −5𝑥 + 2. Find and simplify (p ° q)(8).
a. -104
b. -114
c. -124
d. -134
3𝑥+5
5
30. Solve for x:
=
2𝑥+7
8
a.-5/14
b. 5/14
c. -14/5
d. 14/5
II. BONUS POINT: Make a MATHugot (5 points)
“Honesty is the best policy.”
God bless
Prepared by:
Cherilyn T. Tigero
Subject Teacher