Second Periodical Test in Mathematics Reviewer
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Questions and Answers

What is the maximum cost of a kilo of pechay if Mitchie paid less than P175 for 4 kilograms of pechay and 5 kilograms of beans at P20 per kilogram?

  • P17
  • P19
  • P16
  • P18 (correct)

    • If Jules's score is 27 points and the difference between scores is not more than 4 points, what could Gerly's score be?

  • between 23 and 31 (correct)
  • 23 to 26 (correct)
  • 31 and above
  • 23 and below

    • Which inequality correctly represents Ricky's purchase of 4 big notebooks and 5 small notebooks with a minimum payment of P125?

  • 4b + 5s < 125
  • 4b + 5s ≤ 125
  • 4b + 5s ≥ 125 (correct)
  • 4b + 5s > 125

    • Which expression is NOT an example of a linear inequality in two variables?

    <p>$13x - 4y = 21$</p> Signup and view all the answers

    What is the correct mathematical statement representing Angie's total spending of at least P355.50 on calls?

    <p>6x + 6.50y ≥ 355.50</p> Signup and view all the answers

    Which of the following mathematical expressions is in standard form?

    <p>$2x + 3y &lt; 12$</p> Signup and view all the answers

    If Donna paid less than P500 for 1.4 kg of milkfish at P160 per kg and tilapia, what could be the maximum cost of a kilogram of tilapia?

    <p>above P185</p> Signup and view all the answers

    Which of the following statements is NOT a linear inequality in two variables?

    <p>$\frac{3}{y} &lt; 10 - 2x$</p> Signup and view all the answers

    Richelyn has P50 and buys 3 pens for P8 each. What is the maximum number of pencils she can buy?

    <p>3</p> Signup and view all the answers

    Which verbal phrase does NOT represent a linear inequality in two variables?

    <p>the total number of male and female students is 20</p> Signup and view all the answers

    Jonard bought 16 bacons at P12 each. What is the maximum number of P8 eggs he can buy with at most P300 in total?

    <p>12</p> Signup and view all the answers

    Which one of the following is a valid linear inequality in two variables?

    <p>$11 + 2t \geq 3t - 11$</p> Signup and view all the answers

    Michelle's total amount for two types of facemasks is at most P333. If she bought 4 pieces at P35 each, what could be the maximum price of 6 pieces of the other facemask?

    <p>P194</p> Signup and view all the answers

    Which inequality represents 'the sum of x and y is at most 15'?

    <p>$x + y \leq 15$</p> Signup and view all the answers

    Which is true regarding the graphical solutions of a linear inequality in two variables?

    <p>It is a region of points bounded by a line.</p> Signup and view all the answers

    The statement 'the sum of two numbers is at least 29' can be expressed as?

    <p>$x + y \geq 29$</p> Signup and view all the answers

    How many points does a vertical line intersect the graph of a function?

    <p>At exactly one point</p> Signup and view all the answers

    Which given set of ordered pairs is an example of a one-to-one relation?

    <p>{(a, p), (b, q), (c, r), (d, s), (e, t), (f, u), (g, w), (h, x)}</p> Signup and view all the answers

    Which option does NOT represent a possible way to present relations?

    <p>Shape</p> Signup and view all the answers

    Which set of ordered pairs shows a one-to-one relation?

    <p>{(1, -1), (2, -2), (3, -3)}</p> Signup and view all the answers

    What correspondence is best described by the pairs {(Ana, sandwich), (Juan, sandwich), (Peter, sandwich)}?

    <p>Many-to-One</p> Signup and view all the answers

    What is the value of f(0) for the function f(x) = 7x - 3?

    <p>-3</p> Signup and view all the answers

    What is the correct mathematical model for a computer rental charge of P10 plus P15 per hour?

    <p>f(x) = 15x + 10</p> Signup and view all the answers

    In the cost to rent an apartment versus time rented, which is the independent variable?

    <p>The length of time it is rented</p> Signup and view all the answers

    Is John correct in stating the range of the set of ordered pairs {(1,1), (2,4), (3,4), (−2,1), (−4,5)} as {1, 1, 4, 4, 5}?

    <p>No, because the elements should be written once and the answer is {1, 4, 5}.</p> Signup and view all the answers

    What is the domain of the function given the bicycle rental cost of ₱20/hour for a maximum of 4 hours?

    <p>Domain: {0, 1, 2, 3, 4}</p> Signup and view all the answers

    What is the range of the function if the bicycle rental costs ₱20/hour for a stay of up to 4 hours?

    <p>Range: {20, 40, 60, 80}</p> Signup and view all the answers

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

    <p>𝑓(𝑥) = 𝑚𝑥 + 𝑏</p> Signup and view all the answers

    Which statement best describes the x-intercept of a line?

    <p>The x-intercept of a line is the intersection of the graph and the x-axis.</p> Signup and view all the answers

    Which coordinate represents the y-intercept?

    <p>(0, b)</p> Signup and view all the answers

    How much would Mr. Nilo receive for 3 hours of tutoring a day over 12 days?

    <p>₱7,200</p> Signup and view all the answers

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

    <p>(-3, 0)</p> Signup and view all the answers

    Which of the following statements is NOT true?

    <p>Letters T and F, respectively are assigned for truth values False and True.</p> Signup and view all the answers

    What conclusion can be logically deduced from the statement: 'If a student passes an entrance exam, then the student will be accepted into college. Magdalena passed the entrance exam.'?

    <p>Magdalena will be accepted into college.</p> Signup and view all the answers

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

    <p>There can be more than one 90° angle in a triangle.</p> Signup and view all the answers

    Which statement does NOT accurately describe the slope of a line?

    <p>The slope of a line depends on the value of the y-intercept.</p> Signup and view all the answers

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

    <p>Assume that line 𝑙 is not perpendicular to line 𝑗.</p> Signup and view all the answers

    Which reasoning involves making a conclusion based on specific examples?

    <p>Inductive reasoning</p> Signup and view all the answers

    What would be the implication if a student passes an entrance exam according to logical reasoning?

    <p>The student might be accepted into college.</p> Signup and view all the answers

    Study Notes

    Second Periodical Test in Mathematics 8

    • Question 1: The following expressions are examples of linear inequalities in two variables EXCEPT 13x – 4y = 21. This is an equation, not an inequality.

    • Question 2: The mathematical expression 2x + 3y < 12 is in standard form.

    • Question 3: The mathematical statements that are NOT linear inequalities in two variables are -10 ≤ 2x and 23 ≤ 3x + 2y. These do not fit the typical structure of ax + by ≤ c or ax + by ≥ c.

    • Question 4: The verbal phrase that does not represent a linear inequality in two variables is "the total number of male and female students in the learning center is 20." A linear inequality needs to express a relationship of 'more than,' 'less than,' or 'equal to.'

    • Question 5: The linear inequality in two variables is 11 + 2t ≥ 3t - 11.

    • Question 6: The inequality representing "the sum of x and y is at most 15" is x + y ≤ 15.

    • Question 7: The graphical solutions of a linear inequality in two variables is a region of points bounded by a line.

    • Question 8: The statement "the sum of two numbers is at least 29" can be expressed as x + y ≥ 29.

    • Question 9: The inequality represented by the given graph is 3x + 2y > 2. (Note: The graph is necessary to determine the exact inequality)

    • Question 10: The correct inequality for the shaded region is y < -x - 1. (Note: The graph is necessary to determine the exact inequality)

    • Question 11: Given the graph of y ≥ 2x - 5, the ordered pair (2, 5) satisfies the inequality. (Note: The graph is necessary to determine the exact answer)

    • Question 12: The maximum cost of a kilo of pechay is PhP 17, given the context. Mitchie paid less than P175 for 4 kg of pechay and 5 kg of beans.

    • Question 13: If Jules's score is 27 points and the difference between Jules' score and Gerly's score is not more than 4 points, then Gerly's score could be between 23 and 31.

    • Question 14: The inequality representing the given situation (Ricky buying notebooks) is 4b + 5s ≥ 125.

    • Question 15: Angie's phone bill situation is represented by 6x + 6.50y ≥ 355.50 (where x and y are the minutes).

    • Question 16: Donna paid less than P500 for 1.4 kg of milkfish and 1.5 kg of tilapia. Given the price of milkfish, the price of tilapia must be below P184.

    • Question 17: Richelyn bought 3 pens, and has P50 in her pocket. She can buy a maximum of two pencils.

    • Question 18: Jonard wants to buy at most P300, buying 16 bacons for P12 each leaves him with a maximum of 11 eggs costing P8 each.

    • Question 19: Michelle bought 4 pieces of one type of facemask for P35 each. The maximum price she could pay for 6 pieces of the other type of facemask is PhP 194 if paying at most P333.

    • Question 20: Every function is a relation.

    • Question 21: The relation {(Mickey, mouse), (Bugs, Bunny), (Cosmo, Wanda)} is a function.

    • Question 22: A vertical line intersects the graph of a function at exactly one point.

    • Question 23: {(1, 1), (2, 2), (3, 3)} is an example of a one-to-one relation (Note: See Example graph.)

    • Question 24: Relations can be presented with graphs, equations or rules but not tables (Note: See example)

    • Question 25: The following ordered pairs shows one-to-one relation: {(1, 2), (3, 4), (5, 6)}.

    • Question 26: The relationship is many-to-one - each object in the first set (Ana, Juan, Peter) is related to the same object in the second set (sandwich).

    • Question 27: f(0) = -3

    • Question 28: The correct mathematical model representing the rental cost situation is f(x) = 15x + 10, where x is the time in hours

    • Question 29: The independent variable is the length of time the apartment is rented.

    • Question 30: The powdered milk is called elements, or more correctly, inputs or outputs.

    • Question 31: The correct answer for this question involves a set of ordered pairs.

    • Question 32: The range is {1, 4, 5}, the second coordinates.

    • Question 33: The domain (the hours) is {0, 1, 2, 3, 4}

    • Question 34: The range (the possible amounts) is {0, 20, 40, 60, 80}.

    • Question 35: The x-intercept is the intersection of the graph and the x-axis.

    • Question 36: The y-intercept is the coordinate when x = 0 (which is (0, b)).

    • Question 37: The x-intercept for f(x) = x + 3 is (-3, 0).

    • Question 38: The y-intercept for f(x) = 2x + 5 is (0, 5).

    • Question 39: The slope of a horizontal line is zero.

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    Description

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