1. Republic of the Philippines
Department of Education
Region IV-A
MATANDANG SABANG NATIONAL HIGH SCHOOL
MULTI-DIMENSIONAL ASSESSMENT
Test Question 1: Which of the following inequalities illustrates linear inequality in two variables ?
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
(2 points/Nearly Mastered)
A. 𝑨𝒙 + 𝑩𝒚 ≥ C B. 𝑨𝒙𝟐
+ 𝑩𝒚𝟐
> C C. 𝒂𝟐
+ 𝒃𝟐
= 𝒄𝟐
D. 𝑨𝒙 + 𝑩𝒚 = C
Test Question 2: Which of the following statements best describes linear inequality?
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
(2 points/Nearly Mastered)
A. It is an inequality of the
form 𝑨𝒙 + 𝑩𝒚 ≥ C
B. It is often written in the
form Ax + By = C
C. The graph falls to the
right and rises to the left
D. It is an inequality of the form
𝑨𝒙 + 𝑩𝒚 ≥ C where A,B and
Name: ALMA D. NABORA
School: MATANDANG SABANG
NHS
Grade Level: 8 Subject: MATHEMATICS
Quarter: SECOND Week: 1-8
No. of
Days/Hours
34 days / 34 hours
MELC No.
MELC
MELC No.
No. of Hours
Taught
No. of Item
Linear Inequality in Two variables. 5hrs 6 (1 – 6)
Systems of Linear Inequalities in Two variables. 5hrs 6 (7 – 12)
Relation and Function 8hrs 9 (13 – 21)
Conditional Statements 3hrs 4 (22 – 25)
The Biconditional, Inverse, Converse and Contrapositive Statements 8hrs 9 (26 – 34)
Proof & Reasoning 5hrs 6 (35 – 40)
TOTAL 34hrs 40
Skills/Thinking
Skills
Skills in problem solving, analyzation and reasoning
Context:
No. of Items % of Items
Domain and Dimensions in the RBT
60% 30% 10%
R
(30%)
U
(30%)
App
(15%)
An
(15%)
E
(5%)
C
(5%)
6 15% 2 2 1 1 0 0
6 15% 2 2 1 1 0 0
9 23% 3 2 2 1 1 0
4 9% 1 1 1 1 0 0
9 23% 3 2 2 1 1 0
6 15% 2 2 1 1 0 0
40 100% 13 11 8 6 2 0
2. where A,B and C are real
numbers and A and B are
both non zero.
C are real numbers and A
and B are both negative
integers.
Test Question 3: How many solution does the linear inequality have ?
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
(2 points/Nearly Mastered)
A. Infinite
B. 2 C. 0 D. 3 - 5
Test Question 4: Which of the following graph represent of linear inequality in two variables ?
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
( 2 points/Nearly Mastered)
A.
B. C. D.
Test Question 5: A restaurant owner would like to make a model which he can use as guide in writing a linear inequality in two
variables. He will use the inequality in determining the number of kilograms of pork and beef that he need to purchase
dailygiven a certain amount of money I, the cost (A) of a kilo of pork, the cost (B) of a kilo of beef. Which of the following
models should he make and follow ?
I. Ax + By ≤ C II. Ax + By = C III. Ax + By ≥ C
POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. I, II and III B. III only C. I and III
E. I and II
Test Question 6: Which of the following ordered pairs is a solution of the inequality 2x + 6y ≤ 10 are true?
POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. (-1, 1) (1,1) (3, 1) B. (2, 2) C. (1, 2) (1, 0) D. (1, 0) (-1, 1) (1,1)
Test Question 7: Which of the following is a system of linear inequalities in two variables ?
POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. {3x + 5y = -2 ; x – 4y > 9} B. (x, y) C. x – 4y > 9
D. {𝑥 + 9𝑦 ≤ 2 ; 2𝑥 − 3𝑦 > 12}
Test Question 8: Which of the following graph represent of system of linear inequality in two variables ?
POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. B. C. D.
3. For Item no. 9 – 10: Below is the graph of system of linear inequalities in two variables x – 2y<6 and x + 2y ≤ 4 if point:
A (3,3) B (0,2) C (0, -3) D (2 , 0)
Test Question 9: Which coordinates are part of the solution set of x + 2y ≤ 4 only ?
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. (0, 0) B.(0, −3 ) ( 2, 0 ) C. (0, −3) (0,2) D. (3,3)
Test Question 10: Which coordinates are part of the solution set of the system ?
A (3,3) B (0,2) C (0, -3) D (-4 , 0)
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. All of the above B. C and D C. A, B, and C D. B only
Test Question 11: Given: y + x >2
y ≤ 3x – 2
Which graph shows the solution of the given set of inequalities ?
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. B. C.
D.
Test Question 12: Which pair DOES NOT satisfy the system of linear inequation in two variables x + 25 > 5 and
2x – y ≤ 2 ?
A. (5, 1) B. (3, 3) C. (2, 8) D. (-4, 6)
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. All of the above B. C and D C. C and A D. A only
Test Question 13: Which of the term refer to the set of ordered pairs of the second element ?
POSSIBLE ANSWERS
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
4. A. Domain B. Ordinate C. Range D. Abscissa
Test Question 14: What is the set of all first entries in ordered pairs?
POSSIBLE ANSWERS
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
A. Ordinate B. Domain C. Abscissa D. Range
Test Question 15: Which of the given term refer to the relation between two variables in which every first element is
associated with one and only one in second element?
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
A. Not Relation B. Relation C. Function D. Range
Test Question 16: Which of the following sets of ordered pairs defines a function ?
A. {(3,2), (-3, 6), (3, -2)} B. {(1, 2), (2, 6), (3, -2)} C. {(2, 2), (1, 3), (3, 4)} D.{(4, 4), (-3, 4), (4, -4)}
POSSIBLE ANSWERS
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
A. A and B B. B only C. B and C D. All of the above
Test Question 17: What is the relation of the set of ordered pairs {(2, -3), (1, 0), (2, 3)} ?
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
(2 points/Nearly Mastered)
A. Many to One B. Many to Many C. One to One D. One to Many
Test Question 18: In the set of ordered pairs below, what is the domain ?
{(-3, 1), (-2, 2), (-1, 3), (0, 4)}
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
(2 points/Nearly Mastered)
A. {-3, -2, -1, 0} B. {-3, 1, 4, 3} C. { -4, -5, -10, 2} D. {-3, -2, -1}
Test Question 19: In the given mapping diagram, what is the relation between the two element ?
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
(2 points/Nearly Mastered)
A. One to Many B. One to One C. One is toTwo D. Many to One
Test Question 20: Given the domain {1, 2, 3, 4, 5}, Which is the correct sets of ordered pairs that “ Range is thrice the domain ?
I = { (1, 3), (2, 6), (3, 9), (4, 12), (5, 15)} III = { (0, 3), (2, 0), (-3, 9), (4, -12), (5, -15)}
II = { (1,3), (1, 2), (2, 3), (3, 4), (4, 5)} IV = { (1, 3), (2, 6), (3, -9), (4, 12), (5, 15)}
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
(2 points/Nearly Mastered)
A. I B. II C. III D. IV
Test Question 21: Given the function f(x) = 3x – 6; f(-3) and f(0). Which are the correct value ?
I. -15 and -6 II. -3 and -6 III. 0 and 1 IV. -15 and 6
POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. IV B. III C. II D. I
5. Test Question 22: Which of the given are the part of conditional statement ?
I. Is and On II. If and of III. If and Then IV. Now and Then
POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. II and IV B. I C. II D. III
Test Question 23: Which of the given statement is true about the conditional statement ?
I. It is also called an If – Then statement.
II. A conditional statement has always false statement.
III. A conditional statement has a truth value of true or false.
IV. All of the above
POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. I, II, III B. IV C. I only D. I and III
For Item no. 24 – 25: Given the statement:
“ One half of the number is 12, the number is 24”
Test Question 24: Which is the correct conditional statement?
POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. If One half of the number
is 12 then the number is
24
B.
1
2
of 12 = 24
C. The One half of the
number is 12, if the number
is 24
D. If one half of the number is 12,
then the number is 24.
Test Question 25: Given the statement above, which are the hypothesis and conclusion ?
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. H: 12
C: 24
B. H: One half of the
number is 12.
C: The number is 24
C. H: 12 is the one half of
number.
C: The number is 24,
D. H: one half of 24
C: The number is 12,
Test Question 26: Which statement is true about converse statement ?
I. Converse statement can be formed by switching/reversing the hypothesis and conclusion of a conditional
statement.
II. It can be formed by negating the hypothesis and the conclusion of the conditional statement.
III. Converse statement can be formed interchanging the roles of hypothesis and conclusion of the if and
then statement.
IV. We composed this statement by interchanging the hypothesis and conclusion of the inverse of the same
conditional statement.
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. II B. I and III C. all of the above D. I
Test Question 27: Which statement is true about inverse statement ?
I. Converse statement can be formed by switching/reversing the hypothesis and conclusion of a conditional
statement.
II. It can be formed by negating the hypothesis and the conclusion of the conditional statement.
III. Converse statement can be formed interchanging the roles of hypothesis and conclusion of the if and
then statement.
IV. We composed this statement by interchanging the hypothesis and conclusion of the inverse of the same
conditional statement.
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. all of the above B. II C. IV D. III
6. Test Question 28: Which of the given statement is true about the conditional statement ?
I. It is also called an If – Then statement.
II. A conditional statement has always false statement.
III. A conditional statement has a truth value of true or false.
IV. All of the above
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. IV B. I and III C. I, II, III D. I
Test Question 29: Which symbols indicate a converse statement if: p is the hypothesis and q is the conclusion ? such as:
p→q
POSSIBLE ANSWERS
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
A. p → x B. p → q C. q → p D. ~𝑝 → ~𝑞
Test Question 30: Which is the symbolic representation of the contrapositive conditional statement if p is the hypothesis and
q is the conclusion ?
POSSIBLE ANSWERS
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
A. p → q B. q → p C. ~𝑞 → ~𝑝 D. p → x
Test Question 31: Which is the symbolic representation of the inverse statement if p is the hypothesis and
q is the conclusion ?
POSSIBLE ANSWERS
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
A. q → p B. ~𝑞 → ~𝑝 C. ~𝑝 → ~𝑞 D. p → x
Test Question 32: Which is the contrapositive of the statement: “ If an angle measures exactly 90⁰ , then it is a right angle ?
I. If an angle is right, then it measures exactly 90⁰.
II. If an angle do not measures exactly 90⁰, then it is not right angle.
III. If an angle is not right, then it does not measure exactly 90⁰.
IV. An angle is right if and only if it measures exactly 90⁰.
POSSIBLE ANSWERS
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
A. II B. II and III C. III D. I
Test Question 33: Which statement is the converse “If a number is divisible by 9, then the sum of its digits is divisible by 9?
I. If the number is not divisible by 9, then the sum of its digits is not divisible by 9.
II. If the sum of the digits of a number is divisible by 9, then it is divisible by 9.
III. If the number is divisible by 9, then the sum of its digit is not divisible by 9.
IV. If the sum of the digits of a number is not divisible by 9, then it is not divisible by 9.
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
(2 points/Nearly Mastered)
A. II B. III C. All of the above D. II and III
Test Question 34: Given the statement: “ A man is honest, he does not steal” which is the biconditional statement ?
POSSIBLE ANSWERS
Relational
(3 points/Mastered)
Uni-structural
(1 point/Least Mastered)
Pre-structural (0 point)
Multi-structural
(2 points/Nearly Mastered)
A. A man is honest if and
only if he does not steal.
B. If a man is honest, then
he does not steal.
C. If he does not steal, then
he is honest.
D. Both A and C
Test Question 35: Which term refers to logical way of thinking.
7. POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. Proving B. Arguing C. Negating D. Reasoning
Test Question 36: Which symbol read as “p implies to q” ?
POSSIBLE ANSWERS
Multi-structural
(2 points/Nearly Mastered)
Pre-structural (0 point)
Uni-structural
(1 point/Least Mastered)
Relational
(3 points/Mastered)
A. q → p B. x + y C. p ↔ q D. p → q
Test Question 37: Which is a symbolic representation of biconditional statement ?
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. x + y B. p ↔ q C. p → q D. q → p
Test Question 38: Which proof also known as proof by contradiction ?
POSSIBLE ANSWERS
Pre-structural (0 point)
Relational
(3 points/Mastered)
Multi-structural
(2 points/Nearly Mastered)
Uni-structural
(1 point/Least Mastered)
A. Two column proof B. Indirect proof C. Direct proof D. Formal proof
Test Question 39: Which law state that: If p → q is a true conditional statement, p is true and q is true ?
POSSIBLE ANSWERS
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
A. Law or reasoning B. Law of Syllogism C. Law of Detachment D. Law of Integers
Test Question 40: Which is the correct statement if “ x = - 5 and / x / = 5 write in p → q ?
POSSIBLE ANSWERS
Uni-structural
(1 point/Least Mastered)
Multi-structural
(2 points/Nearly
Mastered)
Relational
(3 points/Mastered)
Pre-structural (0 point)
A. If x = 5, then x = -5 B. If /x/ = 5, then x = -5 C. If x = -5, then /x / = 5 D. X + 5 = - 5
Prepared by:
ALMA D. NABORA
Teacher II
Checked by:
MARIA ANGELIE F. PAZ
Teacher III
Noted:
SILVER A. BANDOL
Head Teacher I
ANGELITO A. OLVIDA
PSDS Catanauan II
