Question 1

What is a linear equation?

Accepted Answer

It is a mathematical statement that uses the symbol =.

Answer

It is a mathematical statement that uses the symbol >, <, ≥, or ≤.

Question 2

Can a solution of a linear inequality do lie on the solid line?

Accepted Answer

Always

Answer

Sometimes

Answer

Cannot be determined

Answer

Never

Question 3

Which does not belong to the group?

Accepted Answer

a +b = 7

Answer

a +b < 7

Answer

a + b ≤ 7

Answer

a +b > 7

Question 4

Which pair satisfies x + y > 5 and x – y ≤ 2?

Accepted Answer

(2,8)

Answer

(0,0)

Answer

(-4,6)

Answer

(-1,-1)

Question 5

Enteng bought 3 apples and 4 oranges. The total amount he paid was at least₱120. If x represents the number of apples and y the number of oranges, which mathematical statement represents the given situation?

Accepted Answer

3x+ 4y ≥ 120

Answer

3x+ 4y > 120

Answer

3x+ 4y ≤ 120

Answer

3x+ 4y < 120

Question 6

What do we call the set of all second elements in ordered pairs?

Accepted Answer

range

Answer

domain

Answer

abscissa

Answer

ordinate

Question 7

What is the relation of the set of ordered pairs {(2,-3),(1,-3),(2,3)}?

Accepted Answer

One to Many

Answer

One to One

Answer

Many to One

Answer

Many to Many

Question 8

What is the domain in the set of ordered pairs below?

{(-3,1),(-2,2), (-1,3), (0,4)}

Accepted Answer

{-3,-2,-1,0}

Answer

{-3,1,-2,2,-1,3,0,}

Answer

{1,-2,2,-1,3,0,4}

Answer

{-3,1,-2,2,-1,3,0,4}

Question 9

WHAT is the range in the set of ordered pairs below?

{(-3,1), (-2,2), (-1,3), (0,4)}

Accepted Answer

{1,2,3,4}

Answer

{-3,-2,-1,0}

Answer

{-3,1,-2,2,-1,3,0,4}

Answer

{4,0,3,-1,2,-2,1,-3}

Question 10

In the given scenario, which of the following statements is the independent variable?

Louise bought 12 eggs because she will make 2 tubs of leche flans.

Accepted Answer

The number of tubs of Leche Flan

Answer

Louise

Answer

Leche Flan

Answer

Eggs

Question 11

Louise bought 12 eggs because she will make 2 tubs of leche flans. If she will buy 3 dozens of eggs, how many tubs of leche flans can she make?

Accepted Answer

6

Answer

18

Answer

1

Answer

12

Question 12

Nathan can finish 3 episodes of a Korean drama series in 3 hours. How many hours must he spend if he wants to finish 12episodes?

Accepted Answer

12 hours

Answer

9 hours

Answer

1 hour

Answer

6 hours

Question 13

What is the contrapositive of an inverse statement?

Accepted Answer

Converse

Answer

Conditional

Answer

Inverse

Answer

Contrapositive

Question 14

What is the contrapositive form of the given inverse statement below?

If Nathan enjoys sour foods, then he likes citrus fruits.

Accepted Answer

If Nathan does not like citrus fruits, then he does not enjoy sour foods.

Answer

If Nathan likes citrus fruits, then he enjoys sour foods.

Answer

If Nathan does not enjoy sour foods, then he does not like citrus fruits

Answer

If Nathan enjoys sour foods, then he likes citrus fruits.

Question 15

Which is the contrapositive of -p -> -q?

Accepted Answer

q -> p

Answer

~q -> p

Answer

~p -> q

Answer

p -> q

Question 16

What is the inverse of a contrapositive statement?

Accepted Answer

q -> p

Answer

p -> q

Answer

~p -> ~q

Answer

~q -> ~p

Question 17

Which is the inverse of -q -> -p?

Accepted Answer

q -> p

Answer

p -> q

Answer

~p -> ~q

Answer

~q -> p

Question 18

After 4 months of being quarantined at home, Ethan’s mother observes that the amount to be paid for their monthly electric bill is getting higher and higher. What type of reasoning is involved in planning for the solution of Ethan’s family problem about electricity consumption?

Accepted Answer

Inductive

Answer

Intuition

Answer

Analogy

Answer

Deductive

Question 19

A number is divisible by 9 if the sum of the digits is divisible by 9. The sum of the digits in 5832 is 18. Therefore 5832 is divisible by 9. Which of the following numbers is divisible by 9?

Accepted Answer

Deductive

Answer

Inductive

Answer

Intuition

Answer

Analogy

Question 20

WHAT IS THE NEXT NUMBER IN THE SEQUENCE 1, 1, 2,3, 5, 8, 13?

Accepted Answer

21

Answer

15

Answer

14

Answer

23

Question 21

If ∆ABC is isosceles then, the base angles are congruent. ∆ABC is isosceles where AB = AC. WHAT IS THE BEST CONCLUSION?

Accepted Answer

Angle B is Congruent to Angle C

Answer

Angle B is Congruent to Angle B

Answer

Angle A is Congruent to Angle B

Answer

Angle A is Congruent to Angle C

Question 22

If Alex attends and studies well in his enrichment classes, then he does well on his tests. If Alex does well on his test, then he gets good grades on his report card. Alex attends and studies well in his enrichment classes. WHAT IS THE BEST CONCLUSION?

Accepted Answer

Alex will get good grades on his report card.

Answer

All statements are correct

Answer

None of the statements are correct

Answer

Attending enrichment class might result to good grades in report card.

Question 23

WHAT DO YOU CALL a theoretical proposition,statement, or formula embodying something to be proved from other propositions or formulas?

Accepted Answer

Theorem

Answer

Definition

Answer

Postulates

Answer

Given

Question 24

Which part of this theorem is accepted to be true?

“Given a line and a point on the line, through the given point there is exactly one line perpendicular to the given line.”

Accepted Answer

through the given point there is exactly one line perpendicular to the given line.

Answer

through the given point there is exactly one line

Answer

given a line and a point not on the line.

Answer

through the given point

Question 25

What is the form of writing proofs where a series of statements are organized in logical order using boxes and arrows?

Accepted Answer

Flow– Chart Form

Answer

ParagraphForm

Answer

Indirect Proving

Answer

Two- Column Form

Question 26

WHAT FORM is described if you can write a paragraph to explain why a statement in an argument is true?

Accepted Answer

Paragraph Form

Answer

Two- Column Form

Answer

Indirect Proving

Answer

Flow– Chart Form

Question 27

Which of the following is/are true about Paragraph proof?

Accepted Answer

The statements and reasons in a paragraph proof are written in sentences, using words to explain the logical flow of the argument.

Answer

All statements are correct

Answer

Paragraph proofs are useful because it allows the reader to see how each statement leads to the conclusion.

Answer

Paragraph proof consists of a list of statements, and the reasons why those statements are true.

Question 28

Which of the following is the correct application of paragraph proving?

Accepted Answer

Prove:If x² + 5x + 6 = 0, then x = -2 or x = -3.

Proof: Using the sum andproduct rule, x² + 5x + 6 factors into (x + 2)(x + 3). Thus, (x+ 2)(x + 3) = 0, and the zero rule for multiplication tells us that x + 2 = 0or x + 3 = 0. These two equations lead to the solutions x =-2 or x =-3.

Answer

Prove: If x² – 6x + 10, then x = -3.

Proof: Using the perfectsquare trinomial, x² -6x + 9 factors into (x - 3)(x -3). Thus,(x - 3)² = 0, and the zero rule for multiplication tells us that (x– 3) = 0, this leads to the solution x = 3.

Answer

Both examples are correct

Answer

None of the choices are correct

Question 29

WHAT FORM is described if a way of writing proofs in which each statement in the logical argument is written in the left- hand column and the reason for each statement is written directly across in the right- hand column?

Accepted Answer

Two- Column Form

Answer

Indirect Proving

Answer

Flow– Chart Form

Answer

Paragraph Form

Question 30

Which of the following is/are true about Two-Column proof?

Accepted Answer

C. Both A and B are correct

Answer

B. A two-column proof consists of two columns the statements are in the left column and the reasons are in the right column.

Answer

A. A two-column proof consists of a list of statements, and the reasons why those statements are true.

Answer

D. Neither A nor B is correct

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