Bula National School of Fisheries

Zone 7 Brgy Bula, General Santos City, South Cotabato

G E N E R A L M A T H E M A T I C S
FIRST PERIODICAL EXAM
SY 2019-2020

Name: _______________________________________________ Date: ____________________

Math lesson for life: always be careful with the SIGNS ;)

I. MULTIPLE CHOICE. Write the letter of your answer on the space provided before each number. If the
answer is not on the choices, provide the correct answer. If there more than one correct answers, choose
the best one. AVOID ERASURES

______1. Which of the following correctly completes the statement below?

“A function is a relation where each element in the domain is related to ___________ value in the range
by some rule”
A. specific B. only one C. different values D. many
______2. What test should be used to determine if a graph is a graph of a function or not?
A. vertical line test B. functionality test C. taste test D. IQ test
______3. Which of the following cannot be used to illustrate relations and functions?
A. domain B. table of values C. graph D. machine
______4. Complete the definition: A rational expression is an expression that can be written as a ________ of
two polynomials.
A. product B. ratio C. function D. sum
______5. Complete the definition: The _______ of a relation is the set of all values the variable x can take.
A. domain B. range C. solution set D. set interval
For #4-5. Identify the given as rational expression, rational equation, rational function, or rational
inequality
3
______6. y=5 x −2 x+1
A. rational expression B. rational equation C. rational function D. rational inequality
2
x +3 x+ 2
______7.
x +4
A. rational expression B. rational equation C. rational function D. rational inequality
5 2
______8. ≤
x−3 x
A. rational expression B. rational equation C. rational function D. rational inequality
______9. Which of the following graph is not a function?
A. B. C. D.
______10. Using the piecewise function below, what is the value of F(d) at d = 3?

A. 12.5 B. 9.5 C. 8 D. 5
______11. Given f(x) = 2x + 1, which of the following will lead to evaluating f(x) at x = -3?
A. f(-3) = 2-3 + 1 B. f(-3) = 2(3) + 1 C. f(-3) = 2(-3) + 1 D. f(x) = 2(-3) + 1
______12. What is the value of f(-3) in the previous number?
A. -8 B. 5 C. -5 D. 8
______13. If f(x) = 4x – 3, find f(5)
A. 17 B. 10 C. 5.75 D. 6
______14. If f(x) = 4x – 3, find f(9)
A. 33 B. 10 C. 3 D. 10
______15. If f(x) = 4x – 3, find f(-4)
A. -0.25 B. 10 C. -3 D. -19
______16. Given that f(x) = x2 - x - 6 and g(x) = 2x 2 - 3x + 4, which of the following can be used to solve
(f - g)(x)?
A. (f - g)(x) = x2 - 2x2- x - 3x - 6 + 4 C. (f - g)(x) = -x2 - 2x2- x - 3x - 6 + 4

B. (f - g)(x) = x2 - 2x2- x + 3x - 6 - 4 D. (f - g)(x) = -x2 + 2x2+ x - 3x + 6 + 4

______17. What is the (f - g)(x) in the previous problem?
A. (f - g)(x) = -x2- 4x - 2 C. (f - g)(x) = -3x2- 4x - 2
B. (f - g)(x) = -x2 - 2x + 10 D. (f - g)(x) = -x2 + 2x - 10
______18. Find (f + g)(x) if f(x) = x2 + 6x + 9 and g(x) = 2x + 6
A. (f + g)(x) = 9x2 + 15 C. (f + g)(x) = x2 + 8x + 15
B. (f + g)(x) = 81x2 + 15 D. (f + g)(x) = 24x
______19. Given the functions f x( ) = x − 7 and g x( ) = 4 – x, determine (f ∘ g) (x)
2

A. (f ∘ g) (x) = −x2 − 3 C. (f ∘ g) (x) = x2 + 8x + 11

B. (f ∘ g) (x) = x2 − 8x + 9 D. (f ∘ g) (x) = x2 + 8x + 11
______20. Given f(x) = 2x − 4 and g(x) = x2 + 3, determine f(x) ⋅ g(x).
A. 3x3 + 4x2 + 6x − 12 B. x2 + 2x − 1 C. 2x3 − 4x2 + 6x − 12 D. 2x2 + 2x − 12
______21. Give a function C that can represent the cost of buying x sandwiches, if each sandwich costs
P15.00
A. C(x) = 15 + x B. C(x) = 15 - x C. C(x) = 15x D. C(x) = 15/x
______22. How many sandwiches were bought if the amount paid is P345.00?
A. 23 B. 24 C. 25 D. 26
______23. What is the least common denominator to be used in solving the rational equation below?
x 1 8
− = 2
x +2 x−2 x −4
A. ( x+2)( x−2)( x 2−4) B. (x 2−4 ) C. (x−2)(x 2−4) D. (x+ 2)(x 2−4)
(x+ 2)(x−2)
______24. The cost of hiring a catering service to serve food for a party is P150.00 per head for 50 persons or
less, P110.00 per head for 51 to 100 persons, and for 100 or more persons, the cost is at P100.00 per
head. Represent the total cost as a piecewise function of the number of attendees of the party. BONUS

{ {
150 x ,∧x ≤ 50 150 x ,∧x ≤50
A. f ( x )= 110 x ,∧51< x ≤ 100 B. f ( x )= 110 x ,∧51 ≤ x ≤100
100 x ,∧x >100 100 x ,∧x ≥100

{ {
150 x ,∧x ≤50 150 x ,∧x <50
C. f ( x )= 110 x ,∧51 ≤ x ≤100 D. f ( x )= 110 x ,∧51 ≤ x ≤100
100 x ,∧x >100 100 x ,∧x >100
______25. How much will a party organizer pay to the caterer in the previous number, if there are a total of 110
persons in the party?
A. P16,500 B. P12,100 C. P11,000 D. P1,100
______26. How many people were there in a party if the payment received by the caterer is P5, 720?
A. 38 B. 52 C. 57 D. 60
______27. Write a function for the area of a rectangular lot, if one side is 5 meters longer than the other side.
A. A(x) = x(x+5) B. A(x-5) = x(x+5) C. A(x) = x + (x+5) D. A(x) = x(x+5)
For #28-31 refer to the given below:
4 8
+ =5
x x−2
______28. What is the LCD of the given?
A. (x)( x−2) B. 5( x )( x−2) C. ( x)(x 2−2 x) D. (5 x)( x−2)
______29. What is the simplified equation when each fraction is multiplied by the LCD?
A. 4 x −8+8=5 x 2−10 C. 4 x −8+8 x=5 x 2−10 x
2 2 2 3 2
B. 4 x =5 x −10 x D. 4 x −8 x +8 x=5 x −10 x
______30-31. What are the factors of the simplified equation?
A. ( 5 x+2 ) ( x−4 ) =0 B. ( 5 x−2 ) ( x + 4 ) =0
C. ( 5 x−2 ) ( x−4 )=0 D. ( 5 x+2 ) ( x +4 )=0
______32. If a metal ball is dropped 100 feet from a water tower, its height h in feet above the ground after t
seconds is given by h(t) = 100 – 16t2. What is the height of the ball above the ground after 2 seconds.
A. 32 meters B. 36 meters C. 64 meters D. 68 meters

For numbers 33-36 , refer to the rational equation below

x +7 x−1 4
+ = 2
x−1 x+ 1 x −1
______33. What is the LCD to be used in solving the equation?
A. (x−1)(x+1)( x 2−1) B. (x−1)(x+1) C. ( x+ 1)( x 2−1) D. (x−1)(x2 −1)
______34-35. What are the possible values of x?
A. x = -2, x = -1 B. x = 2, x = -1 C. x = -2, x = 1 D. x = 2, x = 1
______36. What is the solution set?
A. {-2} B. {-1} C. {-2,-1} D. {2,1}

For numbers 37-42. Choose the correct graph for the given interval
______37. ( a , b)
 A. B. C. D.
______38. ¿
A. B. C. D.
______39. ( −∞, b ¿
A. B. C. D.
______40. (a , ∞ ) BONUS
A. B. C. D.
______41. (−∞ ,∞)
A. B. C. D.

______42. What are the critical values of the inequality ? -3. -1, 1

A. -1, 1, 3 B. -3, -2, -1 C. -3, -1, 0 D. -3, 1, 1

______43. Which of the following is wrong in solving the inequality below?

3 x +1 3 x +1 x + 4 3 x +1−x−4
A. −1≥ 0 B. − ≥0 C. ≥0
x+ 4 x+ 4 x + 4 x +4

2 x +3
D. ≥0
x+ 4
______44. What are the intervals in the previous question? *disregard whether endpoint is included or not
3 3
A. (- ∞ , - ), (- , -4), (-4 , ∞ ¿ B. (- ∞ , -3), (-3, 4 ), (4 , ∞ ¿
2 2

3 3
C. (- ∞ , -4), (-4, - ), (- ,∞¿ D. (- ∞ , 2), (2, 3), (3, 4), (4 , ∞ ¿
2 2
3 3
(- ∞ , -4), (-4, ), ( ,∞¿
2 2
______45-46. What is the solution set for question number 43? BONUS

A. (- ∞ , -4) U ¿ - 3 ,∞¿ B. (- ∞ , -
3
) U (-4 , ∞ ¿ C. (- ∞ , -3) U (4
¿ 2 2

3
,∞¿ D. (-4, - )
2
______47-48. A fence is to enclose a rectangular vegetable farm with an area of 400 square meters. If x is the
length of one side of this fence, which of the following is the function P(x) representing the perimeter of
the material needed?
2 x 2+800 P (x )=
2 x+ 800
P (x )=
400
A. P (x )= B. C. D. P ( x ) =400 x 2
x x x
______49-50. If the length of one side of the vegetable farm is 12.5 meters, what is its perimeter?
A. P ( x ) =89 m B. P ( x ) =66 m C. P ( x ) =32m D. P ( x ) =62,500 m

Matthew 5:8
Blessed are the pure in heart, for they will see God.