Republic of the Philippines

Department of Education
Region VIII (Eastern Visayas)
Division of Leyte
BURACAN NATIONAL HIGH SCHOOL
Buracan, La Paz, Leyte

Name: __________________________________ Year & Section: ______________________

Teacher: ________________________________ Score: ___________________

FIRST SUMMATIVE TEST IN GENERAL MATHEMATICS

Direction: Read the questions carefully and write the letter of your answer on a separate sheet of
paper.

1. What do you call a relation where each element in the domain is related to only one value in
the range by some rules?
a. Function c. Domain
b. Range d. Independent
2. Which of the following relations is/are function/s?
a. x = {(1,2), (3,4), (1,7), (5,1)}
b. g = {(3,2), (2,1), (8,2), (5,7)}
c. h = {(4,1), (2,3), (2, 6), (7, 2)}
d. y = {(2,9), (3,4), (9,2), (6,7)}
3. In a relation, what do you call the set of x values or the input?
a. Piecewise c. Domain
b. Range d. Dependent
4. What is the range of the function shown by the diagram?
a. R:{3, 2, 1} 3 a
b. R:{a, b} 1 b
c. R:{3, 2, 1, a, b}
d. R:{all real numbers} 2

5. Which of the following tables represent a function?

a.
x 0 1 1 0
y 4 5 6 7

b. x -1 -1 3 0
y 0 -3 0 3

x 1 2 1 -2 c.
y -1 -2 -2 -1

d.
x 0 -1 3 2
y 3 4 5 6
6. Which of the following real-life relationships represent a function?
a. The rule which assigns to each person the name of his aunt.
b. The rule which assigns to each person the name of his father.
c. The rule which assigns to each cellular phone unit to its phone number.
d. The rule which assigns to each person a name of his pet.
7. Which of the following relations is NOT a function?
a. The rule which assigns a capital city to each province.
b. The rule which assigns a President to each country.
c. The rule which assigns religion to each person.
d. The rule which assigns tourist spot to each province.
8. A person is earning ₱500.00 per day for doing a certain job. Which of the following expresses

a. 𝑆(𝑛) = 500 + 𝑛
the total salary S as a function of the number n of days that the person works?

b. 𝑆(𝑛) = 500/n
c. 𝑆(𝑛) = 500𝑛
d. 𝑆(𝑛) = 500 − 𝑛

For number 9 - 10 use the problem below.

Johnny was paid a fixed rate of ₱ 100 a day for working in a Computer Shop and an additional
₱5.00 for every typing job he made.

9. How much would he pay for a 5 typing job he made for a day?
a. ₱55.00
b. ₱175.50
c. ₱125.00
d. ₱170.00

a. 𝑓(𝑥) = 100 + 5𝑥
10. Find the fare function f(x) where x represents the number of typing job he made for the day.

b. 𝑓(𝑥) = 100 − 5𝑥
c. 𝑓(𝑥) = 100𝑥
d. 𝑓(𝑥) = 100 /5𝑥
11. Which of the following is a polynomial function?

a. f (x) = 2x2 −10x + 7 c. p(x) = x3 −7

b. g(x) = 4x2 −3x +8 d. s(x) = 2m −1
12. What kind of function is being illustrated by f (x) =2x3 −3x+ 5 ?
a. Rational Function c. Greatest Integer Function
b. Constant Function d. Absolute Value Function
13. Find the function value given h(x) =17+8x of x=4
a. 17−32d c. 17+32d
2
b. 17−32d d. 17+32d2
14. Which of the following shows a logarithmic function?
a. f (x) = 8x3 +8 c. f (x) = 3x − 6

b. f (x) = log9 81 d. f (x) = x −1 −8

15. Find the function value given h(x) =7x−11, if x=8m+3.
a. 56m+10 c. 56m2 +10
b. 56m−10 d. 56m2 −10
16. Which of the following is the value of the function f (x) =3x2 −15x + 5+ 3 given x = 3?
a.25 c. 19
b.16 d. 10
17. Evaluate the function h(x) = x +31 given x = 2.5.
a. 34 c. -33
 b. -34 d. 33
18. Give the value of the of the function c(x) = 5x3 −18 at c(3).
a.117 c. 153
b. 27 d. 63
19. Evaluate: h(x) = 5x2 −8x +12 given x = 5.
a. 22 c. 97
b. 145 d. -3

20. Find the value of the function h(x) = 5x2 −4 if x=6.

a . √ 80 b. 2 √ 19 c. 16 d. 4

21

22

23.

24.

25.

26. The statement "𝑝(𝑥) − 𝑞(𝑥) is the same as 𝑞 ", is _____.

27. Given ℎ(𝑥) = 2𝑥 − 7𝑥 and 𝑟(𝑥) = 𝑥 + 𝑥 − 1, find (ℎ + 𝑟)(𝑥).

a. always true b. never true c. sometimes true d. invalid
2 2

a. 2𝑥2 – 1 b. 3𝑥2 + 6𝑥 – 1 c. 3𝑥4 − 6𝑥2 – 1 d. 3𝑥2 − 6𝑥 – 1

28. Given: 𝑓(𝑎) = 2𝑎 + 1 and 𝑔(𝑎) = 3𝑎 − 3. Find 𝑓(𝑎) + 𝑔(𝑎)
𝑎. 5𝑎 − 2 b. −5𝑎 + 2 c. −2𝑎 + 1 d. −6𝑎 − 1
29. 𝑔(𝑥) = 2𝑥 − 4 and ℎ(𝑥) = 2𝑥 − 7 Find (𝑔 + ℎ)(3).
a. -7 b. 1 c.-1 d. 8
30. 𝑓(𝑥) = 6𝑥2 + 7𝑥 + 2 and 𝑔(𝑥) = 5𝑥2 − 𝑥 − 1, find (𝑓 − 𝑔)(𝑥).
a. 𝑥2 + 8𝑥 + 3 b. 5𝑥2 + 8𝑥 – 1 c. 𝑥2 + 6𝑥 – 1 d. 𝑥2 + 8𝑥 − 1
31. 𝑓(𝑥) = 𝑥 − 8 and 𝑔(𝑥) = 𝑥 + 3, Find 𝑓(𝑥) • 𝑔(𝑥)
a. 𝑥2 + 24 b. 𝑥2 − 5𝑥 + 24 c. 𝑥2 − 5𝑥 − 24 d. 𝑥2 + 5𝑥 + 24
32. If 𝑝(𝑥) = 𝑥 − 1 and 𝑞(𝑥) = 𝑥 − 1, what is 𝑝(𝑥) • 𝑞(𝑥)
 a. 𝑥2 + 1 b. 𝑥2 + 2𝑥 − 1 c. 𝑥2 − 2𝑥 + 1 d. 𝑥2 − 1
33. Given ℎ(𝑥) = 𝑥 − 6 𝑎𝑛𝑑 𝑠(𝑥) = 𝑥2 − 13𝑥 + 42. Find ℎ (𝑥).
34. 𝑔(𝑥) = 6𝑥 − 7 and ℎ(𝑥) = 5𝑥 − 1, Find 𝑔(ℎ(𝑥))
a. −9𝑥 + 11 b. 9𝑥2 + 4𝑥 c.30𝑥 + 13 d. 30𝑥 − 13
and 𝑘 𝑥. Find 𝑗(𝑘(−1))
35.
a. b. c. 16 d. 4

For numbers 36-38, refer to figure below

36. Evaluate 𝑝(5) a. 0 b. 3 c. 2 d. 7

37. Find 𝑞(𝑝(0)) a. -3 b. 1 c. -3 d. -5
38. Find
a. 3 b. 5 c. 7 d. -1

For numbers 39-40, refer to the table of values below

𝑚(𝑥) = 3𝑥 − 5 𝑛(𝑥) = 𝑥2 − 2𝑥 + 1

39. Find m/n (7)

a. b. c. 1 d. 0
40. Find
a. 9 b. 16 c. 19 d. 36

41. It is an equation containing at least one fraction whose numerator and denominator are
polynomials.
a. rational function
b. rational equation
c. rational inequality
d. irrational equation
42. The usual technique to eliminate denominator in solving a rational equation is to multiply both
sides of the equation by its
a. inverse factor
b. greatest common factor
c. least common denominator
d. greatest common denominator
43. An inequality which involves one or more rational expressions is called
a. rational function
 b. rational equation
c. rational inequality
d. irrational equation
44. You can only use cross multiplication in solving rational equation if and only if you have one
fraction equal to one fraction, that is, if the fractions are ____________________________.
a. negative
b. positive
c. inequal
d. proportional
45. If the test value makes the inequality ___________________________, then the entire
interval is not a solution to the inequality.
a. true
b. false
c. proportional
d. reciprocal

For items 46-50: Refer to the rational equation below.

46. What is the LCD of the denominator 3, 4 and 2?

a. 3
b. 6
c. 8
d. 12
47. What property will be used if you multiply the LCD on both sides of the equation?
a. Distributive Property
b. Associative Property
c. Commutative Property
d. Additive Property
48. What will be the new form of the equation after applying the property and simplifying?
a. 4𝑥 + 3 = 6𝑥
b. 3𝑥 + 4 = 2𝑥
c. 6𝑥 + 4 = 3𝑥
d. 12𝑥 + 3 = 12𝑥
49. What will be the solution on the given rational equation?
a.
b.
c. 2
d. 3
50. How will you check if your solution is correct?
a. by eliminating the rational expressions.
b. by dividing both sides of the equation by LCD.
c. by applying Commutative Property.
d. by substituting the answer or solution in the original equation.

GOOD LUCK AND GOD BLESS!!!

Prepared by:
SHARON M. ROSALIA Checked by:
Teacher III DANILO G. LUMEN, Dev.EdD.
Principal I
 FIRST SUMMATIVE TEST IN GENERAL MATHEMATICS

ANSWER KEY
1. A
2. B
3. C
4. B
5. D
6. C
7. D
8. C
9. C
10. A
11. A
12. D
13. C
14. B
15. A
16. B
17. D
18. A
19. C
20. B
21. A
22. C
23. D
24. A
25. C
26. B
27. D
28. A
29. B
30. A
31. C
32. C
33. A
34. D
35. D
36. C
37. D
38. C
39. A
40. D
41. B
42. C
43. C Prepared by:
44. D
45.B SHARON M. ROSALIA
46. D Teacher III
47. A
48. A
49. B Checked by:
50.D
DANILO G. LUMEN, Dev.EdD.
Principal II