Virgo Test Ito Na Talaga Platinum 1

7/29/2019 Virgo Test Ito Na Talaga Platinum 1

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Santiago City National High School Home of Responsive Learners

Long Test No. 2, First Grading, SY 2012 – 2013

Special Science Curriculum, Batch 04

Name: _____________________________________Group: _________________ Score: _________ I. Multiple Choice. Read carefully the given statements. Choose from the options the answer you

think will best satisfy each question.

1. It is the set of all values of “y” as restricted by the elements of “x”.

a. domain b. range c. slope d. intercept

2. What is the domain of any linear function?

a. ℜ b. ℜ/0 c. 0 d. x≥0

3. A line contains the point (2,3) and (4, –1) . The appearance of the line is:

a. horizontal b. vertical c. increasing d. decreasing

4. Which of the following sets of ordered pair is one-to-many?

a. {(1,1), (2,2), (3,3), (4,4)} c. {(2,1), (3, 1), (6, 7), (–6, 7)}

b. {90, 1), (1, 2), (2, 3), (3,4)} d. (1, 2), (1,3), (7, 6), (7, –6)}

5. Given f(x) = 3x + 2, and g(x) = 2x2 – 3, the value of (f+g)(0) is:

a. 2 b. 1 c. –1 d. –26. What must be multiplied to (2x – 6) to obtain 2x2 + 12x – 54?

a. x – 18 b. x – 9 c. x + 9 d. x +18

7. If h(x) = x2 – 2x and g(x) = 2x + 7, which of the following is correct?

a. (h0g)(1) = 3 b. (h – g)(2) = –11 c. h(0) = 2 d. h(1) + g(2) = 12

8. Given the functions m(x) and n(x) as both linear, and p(x) as a quadratic, which of the following is NOT

quadratic?

a. (p – m)(x) b. (mn)(x) c. (p – n)(x) d. (pn)(x)

9. Given f(x) = 2x + 8, and (g 0 f) = 3x – 2, find g(x).

10. Given f(x) = 3x – 2 and f(g(x)) = x + 1, find g(f(x).

11. If the slope of a line is positive, which of the following is true?a. The line decreases from left to right c. the line does not change

b. The line decreases from right to left d. the line increases from right to left.

12. Find the x – intercept of a line whose equation is 3x + 4y – 12 = 0.

a. (-4,0) b. (-3,0) c. (3,0) d. (4,0)

13. Which of the following is written in general form?a. 2y + 3x – 6 = 0 b. 2x + 3y – 5 = 0 c. 2y – 5x = 6 d. 3x + 4 – 2y =0

14. A line that passes through a given point on the third quadrant has an x – intercept that is positive.Identify the quadrant wherein the line does not pass by.

a. I b. II c. III d. IV

15. A line passes through the point (-1, 2) and (4, 6). Obtain the equation of the line.

a. 4x + 5y + 14 = 0 c. 4x + 5y – 14 = 0

b. 4x – 5y – 14 = 0 d. 4x – 5y + 14 = 0

16. Find the equation of the line with a slope of 2/3 and a y-intercept of 3.

a. y = –3x + 2 b. y = 3x/2 – 3 c. y = 2x/3 + 3 d. y = 2x/3 – 3

17. The equation of a line that intercepts the x-axis at x = 4 and the y-axis at y = - 6 is:

a. y + X + 4 =0 B. y – x + 4 = 0 c. y – x – 4 = 0 d. y + x – 4 = 0

18. What is the equation of the line with slope -6/11 and passing through the point C(4,9)?a. 6x – 11y + 123 = 0 c. 6x + 11y – 123 = 0

b. 11x + 6y + 10 = 0 d. 6x + 11y – 75 = 0

19. In the equation y = a(x+2) – 3, what is the corresponding y – intercept of the line?



a. –3 b. (a – 3) c. (2a – 3) d. (–3 – 2a)

20. Graphing the equations x + y = 1 and 2x + 2y = 6 on the same Cartesian plane will give us two

lines that are:

a. Perpendicular b. intersecting c. parallel d. skew

21. In the equation ax + by + c = 0, where “a” and “b’ are both not equal to zero, what is the effectwhen “a” and “b” are both multiplied by 2?

a. The intercepts remain the same, but the slope is multiplied by 2. b. The intercepts remain the same, but the slope is divided by 2.

c. The slope remains the same, but the intercepts are multiplied by 2.

d. The slope remains the same, but the intercepts are divided by 2.

22. Which of the following statements about pairs of lines is correct?a. Two perpendicular lines are intersecting c. Parallel lines have slopes that are negative reciprocals

b. Two intersecting lines are perpendicular d. Perpendicular lines may be parallel.

23. If the ordered pair (x,3) is on the graph of 3x + 6y – 8 = 0, find x.

a. 10/3 b. –3/10 c. –10/3 d. 3/10

24. What should be the value of k to make x + y = 0 and 3x – ky + 4 = 0 parallel?

a. –3 b. 3 c. –1/3 d. 1/3

25. What is the equation of line that passes through the point (2, -3) and parallel to 3x + y – 6 =0.a. 3x + y + 3 = 0 b. 3x + y + 9 = 0 c. 3x + y – 3 = 0 d. 3x + y – 9=0

26. Find the equation of a line that contains the point (2, -5) and perpendicular to 3x – 5y – 6 = 0.a. 5x+3y+25 = 0 b. 5x+3y-25 = 0 c. 5x+3y +5 =0 d. 5x+3y – 5 = 0

27. Find the distance between the lines 5x + 12y + 16 = 0 and 10x + 24y – 3 = 0.

a. 19/13 b. c. d.

28. Find the width of a rectangle whose lengths are contained in the lines 2x + 3y – 6 = 0 and 4x + 6y +

3 = 0.

a. 19/13 b. c. d.

29. What is the figure formed by the region bounded by the lines: 3x + 2y – 6 = 0; 5x – y + 8 = 0 ; 10x

– 2y + 15 = 0; and 9x + 6y + 5 = 0?a. Trapezoid b. parallelogram c. rectangle d. rhombus

30. The distance between the lines 7x + 24y – 8 = 0 and 7x + 24y + 17 = 0 forms the length of one sideof a square. The perimeter of this square is:

a. 100 units b. 25 units c. 1 unit d. 4 units

31. Given f(x) = 2x + 3 and g(x) = –5x + 2, which of the following is included in the graph of (f + g)

(x)?

a. (–1, 8) b. (2, –7) c. (0, –1) d. (3, 2)

32. Which of the following liens has a slope of 2/5 and a root of 4?a. 2x – 5y – 20 = 0 b. 2x – 5y – 8=0 c. 2x – 5y + 20 = 0 d. 2x – 5y + 8= 0

33. Which of the following has a slope of 3?

a. c.

b. d.



34. Given f(x) = ax + b and g(x) = cx + d, and suppose a,b,c,d are whole numbers greater than zero,

which of the following inequalities would guarantee that the graph of (f – g)(x) is decreasing fromleft to right?

a. (a+b)>(c+d) b. a<c c. c<a d. (a – b)>(c – d)

35. Let a,b,c be whole number such that a,b, and c are not equal to zero. Which of the following is a possible graph of ax + by + c = 0?

a. b. c. d.36. What is the equation of a line that passes through the point (2, –3) and parallel

to 3x + y – 6 = 0?a. 3x + y + 3 = 0 c. 3x + y – 3 = 0b. 3x + y + 9 = 0 d. 3x + y – 9 = 0

37. Write the equation of a line whose x – intercept is –5 and parallel to the line 7x– 5y + 4 = 0?

a. 7x – 5y – 35 = 0 c. 7x – 5y + 175 = 0b. 7x – 5y + 35 = 0 d. 7x – 5y – 175 = 0

38. What is the equation of a line that passes through the point (–3, –2) andparallel to the line that passes through (0, 1) and (–3, 0).

a. 3x + y + 7 = 0 c. 3x – y – 7 = 0b. X + 3y + 9 = 0 d. x – 3y – 3 = 0

39. Find the equation of a line that contains the point (2, –5) and perpendicular to3x – 5y + 4 =0.

a. 5x + 3y + 25 = 0 c. 5x + 37y + 5 = 0b. 5x + 3y – 25 = 0 d. 5x + 3y – 5 = 0

40. Let as + by + c =0 and dx + ey + f = 0 be lines such that a, b, c, d, e, and f are

all integers not equal to zero. Which of the following does NOT show the lines asparallel?a. a/b = d/e b. e/d = b/a c. a/d = b/e d. ab = de

41. What is the y – intercept of a line whose slope is –2/5 and containing the point(–2, –3)?

a. 19/5 b. –19/5 c. 11/5 d. –11/5

42. Which of the following is contained in the line whose slope is 3 and passingthrough the point (3, –2)?

a. (4, 1) b. (–4, 1) c. (2, –1) d. (–2, 1)

43. In the equation y = a(x – 3) – 2, which of the following is always contained inthe line if a≠0?

a. (3, 2) b. (3, –2) c. (2, –3) d. (2, 3)

44. In the equation y – 3 = 2(x + 4), identify the y – intercept.a. 5 b. –5 c. 11 d. 8

45. Write the equation of a line that contains the points (1/2, 2) and (3, –8).a. 4x + y – 4 = 0 c. 4x + y + 4 = 0b. 4x – y – 4 = 0 d. 4x – y + 4 = 0

46. Let l1 = 2x + 3y – 6 = 0, and l2: 3x – 7y + 12 = 0. Another line (l 3) contains they – intercept of l1 and perpendicular to l2. The x – intercept of l3 is:

a. 14 b. –14 c. 6/7 d. –6/7

47. At what point will the graph of a line containing the point (3, –1) andperpendicular to 3x + y – 6 = 0 intersect the y – axis?

a. (0 , –3) b. ( 0, 3) c. (0, –2) d. (0, 2)48. The intercepts of a certain line are (b,0) and (0,b) while another line intercepts the axes at (-b,0) and

(0, -b) where b≠0. Find the perimeter of the quadrilateral formed by the said intercepts.



b. 4b b. 8b c. 4b2 d. 4b

Virgo Test Ito Na Talaga Platinum 1

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