FREE DOWNLOAD SECOND QUARTER EXAM in MATHEMATICS GRADE 8 WITH TOS School Year 2022-2023

FREE DOWNLOAD SECOND QUARTER EXAM in MATHEMATICS GRADE 8 WITH TOS  School Year 2022-2023

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What's inside the MATHEMATICS Grade 8 periodical exam?

SECOND PERIODICAL TEST IN MATHEMATICS 8

NAME: ____________________________ GR.& SEC._________  SCORE:________ 

DIRECTIONS: Read each item carefully and write the letter of the correct answer on the blank provided before each item. Write the letter corresponding to your chosen answer in CAPITAL LETTER.

_______1. The following expressions are examples of linear inequalities in two variables

EXCEPT:

A. – 𝑥 > 2𝑦 + 7 C. 13𝑥 − 4𝑦 = 21

B. 9𝑥 + 3𝑦 ≥ 24 D.13𝑥 − 24𝑦 < 32

_______2. Which of the following mathematical expressions is written in standard form?

A. 𝑥 < 𝑦 + 5 C. 2𝑦 + 6 > 3𝑥

B. 2𝑥 + 3𝑦 < 12 D. 2𝑥 + 5 ≤ x – 3y – 7

_______3. The mathematical statements below are all linear inequalities in two variables

EXCEPT:

A.3y< 10 − 2𝑥 C. 3𝑥 + 5𝑦 ≥ 15

B. 2𝑥 – 𝑦 > 6 D. 23 ≤ 3𝑥 + 2𝑦

_______4. Which of the following verbal phrases DOES NOT represent a linear inequality

in two variables?

A. “the total number of male and female students in the learning center is 20”

B. “the total number of male and female students in the learning center is at most 20”

C. “the total number of male and female students in the learning center is greater than 20”

D. “the total number of male and female students in the learning center is less than or equal to 20”

_______5. Which of the following is a linear inequality in two variables?

A. 4𝑎 – 3𝑏 > 5 C. 3𝑥𝑦 ≤ 16 + 𝑥

B. 7𝑐 + 4 < 12 − 3d2 D. 11 + 2𝑡 ≥ 3𝑡 – 11

_______6. Which inequality represents “the sum of x and y is at most 15”?

A. 𝑥 + 𝑦 ≥ 15 C. 𝑥 + 𝑦 ≤ 15

B. 𝑥 + 𝑦 > 15 D. 𝑥 + 𝑦 < 15

_______7. Which of the following is true about the graphical solutions of a linear inequality in two variables?

A. It is a line. C. It is region of points bounded by a curve.

B. It is a curve. D. It is a region of points bounded by a line.

_______8. The statement “the sum of two numbers is at least 29” can be expressed as:

A. 𝑥 + 𝑦 > 29 B. 𝑥 + 𝑦 < 29 C. 𝑥 + 𝑦 ≥ 29 D.𝑥 + 𝑦 ≤ 29

_______9. Which of the following inequalities is represented by the given graph?

A. 2𝑥 + 2𝑦 > 2

B. 3𝑥 + 2𝑦 > 2

C. 3𝑥 + 2𝑦 < 2

D. 3𝑥 – 2𝑦 < 2

_______10. Which is the correct inequality for the shaded region?

A. 𝑦 = − 𝑥 − 1

B. 𝑦 > −𝑥 − 1

C. 𝑦 < − 𝑥 + 1

D. 𝑦 > 𝑥 − 1

_______11. Given the graph of y ≥ 2𝑥 − 5 below, which of the following ordered pairs satisfies the inequality?

A. (2, −5)

B. (5, 2)

C. (−2, −7)

D. (5, −7)

_______12. What could be the maximum cost of a kilo of pechay to the nearest pesos if Mitchie

has paid less than 𝑃175 for 4 kilograms of pechay and 5 kilograms of beans at 𝑃20

per kilogram?

A. 𝑃ℎ𝑃 16 B. 𝑃ℎ𝑃 17 C. 𝑃ℎ𝑃 18 D. 𝑃ℎ𝑃 19

_______13. The difference between the scores of Jules and Gerly in Math test is not more than

4 points. If Jules’s score is 27 points, what could be the score of Gerly?

A. 23 to 26 C. 31 and above

B. 23 and below D. between 23 and 31

_______14. Ricky bought 4 big and 5 small notebooks. He paid at least 𝑃125. If B represents

the cost for big notebooks and S for small ones, which of the following would

represent the given situation?

A. 4𝑏 + 5𝑠 > 125 C. 4𝑏 + 5𝑠 ≥ 125

B. 4𝑏 + 5𝑠 < 125 D. 4𝑏 + 5𝑠 ≤ 125

_______15. Angie is using two mobile networks to make phone calls to her friends. One network charges 𝑃6 for every minute of call to other networks. The other network charges 𝑃6.50 for every minute of call to other networks. In 5 days, she spent at least 𝑃355.50 for these calls. Suppose she wants to show the total amount she spent using a mathematical statement. Which of the following will it show?

A. 6𝑥 + 6.50𝑦 = 355.50 C. 6𝑥 + 6.50𝑦 ≥ 355.50

B. 6𝑥 + 6.50𝑦 > 355.50 D. 6𝑥 + 6.50𝑦 ≤ 355.50

_______16. Donna paid less than 𝑃500 for 1.4 kg of milkfish and 1.5 kg of tilapia. If a kilogram

of milkfish costs 𝑃160, how much does a kilogram of tilapia cost?

A. 𝑃184 C. below 𝑃184

B. above 𝑃185 D. between 𝑃185 to 𝑃190

_______17. Richelyn goes to a store to buy pens and pencils. She has 𝑃50 in her pocket, and she’s planning to buy pens for 𝑃8 each and pencils for 𝑃12 each. If she buys 3 pens, what is the maximum number of pencils she can buy to the nearest whole number?

A. 1 B. 2 C. 3 D. 4

_______18. Jonard plans to buy 𝑃8-egg and 𝑃12-bacon per piece. If he bought 16 bacons, what is the maximum number of eggs to have a total amount of at most 𝑃300?

A. 11 B. 12 C. 13 D. 14

_______19. Michelle bought two types of facemasks with a total amount of at most 𝑃333. If she bought 4 pieces of one type that cost 𝑃35 each, what could be the maximum price in nearest pesos of 6 pieces of other type of facemask?

A. 𝑃192 B. 𝑃193 C. 𝑃194 D. 𝑃195

_______20. Which of the following statements is true?

A. Every relation is a function. C. Not all functions are relations.

B. Every function is a relation. D. All functions are not relations.

_______21. Which of the following relations is a function?

A. {(Mickey, mouse), (Bugs, Bunny), (Cosmo, Wanda)}

B. {(notebook, pen), (paper, pen), (pen, paper), (pen, notebook)}

C. {(January,1), (February,1), (March,1), (January,2), (February,2)}

D. {(trashcan, trash), (broom case, broomstick), (broom case, dustpan)}

_______22. In how many point(s) does a vertical line intersect the graph of a function?

A. at least one point C. more than one point

B. at exactly one point D. at exactly two points

_______23. Which of the following is an example of a one-to-one relation?

A. {(1, 1), (1, -1), (2, 2), (2, -2), (3, 3), (3, -3)}

B. {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7)}

C. {(q, 3), (r,3), (s, 5), (t,4), (u, 4), (v, 4), (w,5), (x, 5)}

D. {(a, p), (b, q), (c, r), (d, s), (e, t), (f, u), (g, w), (h, x)}

_______24. Relations can be presented on the following EXCEPT.

A. Graph B. Rule C. Shape D. Table

_______25. Which of the following set of ordered pairs shows one-to-one relation?

A. {(1, 2), (1, 3), (1, 4)} C. {(1, -1), (2, -2), (3, -3)}

B. {(1, 2), (3, 4), (3, -3)} D. {(1, -1), (1, -2), (1, -3)}

_______26. Maria, a Grade 8 student loves to share snacks to her closest friends as shown through these pairs: {(Ana, sandwich), (Juan, sandwich), (Peter, sandwich)}, which of the following correspondence best describes the given set?

A. Many-to-Many C. Many-to-One

B. One-to-Many D. One-to-One

_______27. Given the function f(𝑥) = 7𝑥 − 3, what is f(0)?

A. -3 B. 0 C. 4 D. 7

_______28. A boy rents a computer at an internet cafe. He has to pay a fixed amount of 𝑃10 and an additional cost of 𝑃15 per hour or a fraction of an hour, thereafter. What is the correct mathematical model of the situation?

A. f(x) = 15x + 10 C. f(x) = 10x + 15

B. f(x) = 15x – 10 D. f(x) = 10x – 15

_______29. Given the variables: the cost to rent an apartment and the length of time it is rented, which is the independent variable?

A. the length of time it is rented C. the cost of rental after a month

B. the cost of rental and length of time D. the cost to rent an apartment

_______30. The price of powdered milk is a function of its net weight. In the function, the price of powdered milk is called ____________.

A. Domain C. Inputs

B. Elements D. Outputs

_______31. What is the domain of the given set of ordered pairs{(3,1), (2,5), (0,5), (−2,6), (−4,7)}?

A. {3, 2, 0, −4} C. {3, 2, 0, −2, −4}

B. {1, 5, 6, 7} D. {1, 5, 5, 6, 7}

_______32. The teacher asked John to determine the range of the given set of ordered pairs {(1,1), (2,4), (3,4), (−2,1), (−4,5)}. His answer is{1, 1, 4, 4, 5}. Is he correct?

A. Yes, since the numbers are increasing.

B. No, because range is the set of first coordinates.

C. Yes, numbers 1, 1, 4, 4, and 5 are the second coordinates of the ordered pairs.

D. No, because the elements should be written once and the answer is {1, 4, 5}.

_______33. In a park, Donny wants to rent a bicycle for his son. The rental of bicycle is ₱20/hour. The amount of rental is a function of the number of hours his son will use the bicycle. What is the domain of the function if they are to stay in the park for 4 hours?

A. Domain: {0, 20, 40, 60, 80} C. Domain: {1, 2, 3, 4}

B. Domain: {0, 1, 2, 3, 4} D. Domain: {20, 40, 60, 80}

_______34. Consider the situation in # 33, what is the range of the function?

A. Range: {0, 20, 40, 60, 80} C. Range: {1, 2, 3, 4}

B. Range: {0, 1, 2, 3, 4} D. Range: {20, 40, 60, 80}

_______35. Which of the following best describes the 𝑥-intercept of a line?

A. The 𝑥-intercept of a line is point of origin.

B. The 𝑥-intercept 𝑎 of a line has the coordinate (0, 𝑎).

C. The 𝑥-intercept of a line is the turning point of the graph.

D. The 𝑥-intercept of a line is the intersection of the graph and the 𝑥-axis.

_______36. Which of the following is the coordinates of the 𝑦-intercept?

A. (0, 0) B. (0, 𝑏) C. (𝑏, 0) D. (𝑎, 𝑏)

_______37 What is the 𝑥-intercept of the function 𝑓(𝑥) = 𝑥 + 3?

A. (−3, 0) B. (−1, 0) C. (0, 3) D. (0, 1)

_______38. What is the 𝑦-intercept of the function 𝑓(𝑥) = 2𝑥 + 5?

A. (−5, 0) B. (−2, 0) C. (0, 2) D. (0, 5)

_______39. Which of the following DOES NOT describe the slope of a line?

A. The slope is zero if the line is horizontal.

B. The slope refers to the steepness of the line.

C. The slope of a line depends on the value of the 𝑦-intercept.

D. The slope of a line is described as the vertical change over the horizontal change.

_______40. As 𝑥 increases in the equation 5𝑥 + 𝑦 = 7, the value of 𝑦 ________.

A. increases C. does not change

B. decreases D. cannot be determined.

_______41. What is 𝑓(−2) in a linear function 𝑓(𝑥) = 𝑥 − 5?

A.-7 B.-3 C. 3 D. 10

_______42. The following are points on the graph of a linear function 𝑓(𝑥) = 2𝑥 −1 EXCEPT:

A. (0, −1) B. (3, 5) C. (−2, 3) D. (2, 3)

_______43. Which of the following functions should be used to solve problems involving a constant rate of change?

A. exponential function C. polynomial function

B. linear function D. quadratic function

_______44. Which of the following is the standard form of a linear function?

A. 𝑓(𝑥) = 𝑏𝑥 + 𝑚 C. 𝑓(𝑥) = 𝑚𝑥 + 𝑏

B. 𝑓(𝑥) = 𝑏𝑥 − 𝑚 D. 𝑓(𝑥) = 𝑚𝑥 − 𝑏

_______45. Mr. Nilo, a mathematics teacher, charges 𝑃200 per hour for tutorial service to a junior high school student. If he spends 3 hours tutoring per day, how much would he receive in 12 days?

A. 𝑃6,300 C. 𝑃7,300

B. 𝑃7,200 D. 𝑃8,100

_______46. Which of the following statement is NOT true?

A. Letters T and F , respectively are assigned for truth values True and False.

B. Letters T and F , respectively are assigned for truth values False and True.

C. The if-then statement and the corresponding contrapositive are logically equivalent.

D. The converse and inverse of an if-then statement are logically equivalent.

_______47. Which of the following best describes inductive reasoning?

A. making a conclusion based on logical reasons.

B. making a conclusion based on specific examples.

C. making a conclusion based on accepted statements

D. making a conclusion based on personal feelings and emotion.

_______48. What conclusion can be logically deduced based on the following statements? “If a student passes an entrance exam, then the student will be accepted into college. Magdalena passed the entrance exam.”

A. Magdalena can choose any course.

B. Magdalena shall take another exam.

C. Magdalena will be accepted into college.

D. Magdalena will not be accepted into college.

_______49. What assumption would you make from the statement that, "There can be only one 90° angle in a triangle" using indirect proof?

A. All the angles in a triangle add up to 90°.

B. All the angles in a triangle add up to 180°.

C. There can be more than one 90° angle in a triangle.

D. There can be more than one 180° angle in a triangle.

_______50. If you were proving that a given line 𝑙, is perpendicular to another line 𝑗, using indirect proof, what would your initial assumption be?

A. Assume that line 𝑙 is not perpendicular to line 𝑗.

B. Assume that line 𝑙 is perpendicular to line 𝑗.

C. Assume that line 𝑙 and line 𝑗 are parallel.

D. None of these are correct.

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