SUMMATIVE TEST

in
Grade 11 General Mathematics (Q1)

A. Direction: Encircle the letter of the correct answer.

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 b. Domain c. 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 b. Domain c. Range d. Dependent
4. 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.
5. 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.
For number 6 - 7 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.
6. 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
7.Find the fare function f(x) where x represents the number of typing job he made for the day.
a. 𝑓(𝑥) = 100 + 5𝑥 b. 𝑓(𝑥) = 100 − 5𝑥 c. 𝑓(𝑥) = 100𝑥 d. 𝑓(𝑥) = 100 /5x
8. Find the function value given h(x) = 7x −11 , if x = 8m + 3 .
a. 56m + 10 b. 56m-10 c. 56m2 + 10 d. 56m2 – 10
2
9. Which of the following is the value of the function f(x)=/3x -15x+5/ +3, given x=3?
a. 25 b. 16 c. 19 d. 10

10. Given h(x) =

2 x 2−5 , determine h(5).
3
5 5
a. -15 b. - c. 15 d.
3 3
11. Which of the following is not a polynomial function?
a. f (x) = 2x −10 b. g(x) = 4x2-3x + 8 c. p(x)= x 3-7 d. s(x)= /3x-4/ 9
3 x −11
12. What kind of function is being illustrated by f(x) =
x +7
a. rational function b. exponential function c. linear function d. quadratic function
13. Give the value of the of the function c(3) =5 x 3 -18
a. 117 b. 27 c. 153 d. 63
2
14. Given g(x) =
x −2 x +5 , determine g(4)
x+ 3
5 5 13 13
a. b. - c. d. -
7 7 7 7
x+ 4
15. For what values of x can we not evaluate the function f(x)= 2
x −9
a. ±4 b. ±3 c. ±2 d. ±1
For numbers 16- 20 use the problem below A local cable network charges ₱950.00 monthly connection fee plus ₱100.00 for each
hour of pay-per-view (PPV) event regardless of a full hour or a fraction of an hour.

16.Which of the following pertains to the payment function suggested in the problem?
a. f(x) = 100x + 950 b. f(x) = 100x – 950 c. f(x) = 950x + 100 d. f(x) = 950x – 100
17. What is the monthly bill of a customer who watched 20 hours of PPV events?
a. ₱2,950.00 b. ₱3,950.00 c. ₱4,950.00 d. ₱5,950.00
18.How much is the monthly bill of a customer who watched 0.5 hours of PPV events?
a. ₱950.00 b. ₱1,050.00 c. ₱2,050.00 d. ₱3,050.00
19. What will be the monthly bill of a customer who watched 12.3 hours of PPV events?
a. ₱1,250.00 b. ₱2,250.00 c. ₱3,250.00 d. ₱4,250.00
20. How many hours did a customer watched PPV events if the monthly payment is ₱1,450.00?
a. 2 hours b. 3 hours c. 4 hours d. 5 hours
21. If the distance from Manila to Batangas is approximately 109 kilometers, which of the following pertains to the function (s),
where s is the speed of travel that describes the time it takes to drive from Manila to Batangas?
109 s 109 t
a. 𝑡(𝑠) = b. 𝑡(𝑠) = c. 𝑠(𝑡) = d. 𝑠(𝑡) =
s 109 t 109
22. 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
23. An inequality which involves one or more rational expressions is called
a. rational function b. rational equation c. rational inequality d. irrational equation
For items 24-25: Refer to the rational equation below.
5 2 3
+ =
2 x−4 x+3 x−2
24. to solve the equation, we multiply both sides by:
a. x-2 b. x+3 c. (x+2)(x-3) d. (x-2)(x+3)
25. Which of the following will be the solution to the given rational equation?
11 3 3 11
a. b. c.- d. -
3 11 11 3
26.
B. MATCHING FUNCTIONS Direction: Match column A with column B by writing the letter of the correct answer on the
blank before each number.
Given:
x+ 5 3
a(x) = x + 2 b(x) = x – 3 c(x) = d(x) = √ x+5 e(x) =
x−7 x−7
Column A Column B
3
_____1. (a+b)(x) a.
x+5
_____2. (a ● b)(x) b. ± 3
_____3. (d ○ a)(x) c. -7
e 4
_____4. ( ) (x) d. -
c 5
_____5. (c – e)(x) e. √ x+7
x +2
_____6. (a+b)(x) f.
x−7
_____7. (a ● b)(0) g. 6x - 1
_____8. (d ○ a)(2) h. 1
e
_____9. ( )(-2) i. -6
c
_____10. (c – e)(2) j. 5x2 +7x -6

C. Problem Solving:
You asked a friend to think of a nonnegative number, add two to the number, square the number, multiply the result by 3
and divide the result by 2. If the result is 54, what is the original number? Construct an inverse function that will provide the
original number if the result is given

Prepared by:

Felina A. Ting
KNHS SHS MT-II