1) What is a 3-dimensional shape in geometry formed by a set of line segments which connects a common point called the apex or vertex? a) Cone b) Generator 2) What is formed when a plane intersects a double right circular cone that passes through its vertex? a) Generate b) Degenerate 3) A line lying entirely on the cone is called a ________ of the cone, and all _______ of a cone pass through its vertex, which is the only point where the two nappes intersect. a) Cone b) Generator 4) A ____________ conic is either a parabola, an ellipse, or a hyperbola. a) Degenerate b) Non - Degenerate 5) It is the set of all points that are equidistant to a certain point called the center. It is formed if the cutting plane intersects every generator and at the same time is perpendicular to the axis of the cone. a) Circle b) Parabola 6) It is the set of all points on the plane , the sum of whose distances from two fixed points is a constant. a) Hyperbola b) Ellipse 7) It is the set of all points, whose absolute value of the difference in distances from F1 and from F2 is constant, where the two fixed points F1and F2 are called foci. a) Hyperbola b) Ellipse 8) It is the set of all points on the plane which are equidistant from a fixed point called the focus and a fixed line called the directrix. a) Circle b) Parabola 9) What is the Center-Radius Form Equation of a Circle with Center at (0, 0)? a) x^2 + y^2 = r^2 b) x^2 = -4cy 10) What is the Standard Equation of an Ellipse, with a horizontal major axis? a) b) 11) What is the Standard Equation of Parabola that opens downward with Vertex at (0,0)? a) x^2 + y^2 = r^2 b) x^2 = -4cy 12) What is formed when a plane intersects a double right circular cone that passes through its vertex? a) x^2 + y^2 = r^2 b) x^2 = -4cy 13) In the given equation, (x + 7)2 + (y − 5)2 = 49, in what quadrant is the center located? a) Quadrant 1 b) Quadrant 2 14) In the given equation, (x + 7)2 + (y − 5)2 = 49, what are the coordinates of the center? a) (7,5) b) (-7,5) 15) In the given equation, (x + 7)^2 + (y − 5)^2 = 49, what is the value of the radius? a) r = 7 b) r = 1 16) In the given equation, (x + 7)2 + (y − 5)2 = 49. Find the correct sketch of the graph. a) b) 17) In the given equation, (x − 2)2 = 12(y − 1), what is the length of the latus rectum? a) 2 units b) 12 units 18) Find the value of a in the equation ? a) 15 units b) 8 units 19) What graph does NOT represent a nonlinear equation? a) b) 20) Which of the following are methods of determining the solutions of systems of nonlinear equations? a) Elimination b) Substitution c) Graphing d) All of the Above 21) 16x² +72x − 112y = −221 is an equation of parabola, what is its equivalent standard   a) (x+9/4)2=7(y−5/4) b) C. (x−9/4)2 =72(y− 5/4 ) 22) Center at (-2,3), tangent to the x-axis. What is the standard equation of a circle? a) (x+2)²−(y−3)²=9 b) (x+2)²+(y−3)²=9. 23) If both x² and y² appear, and their coefficients are the same this is an example of? a) Circle b) Parabola 24) The opening of the parabola y=2(x+3)²-2 is? a) Downward b) Upward 25) The vertex of the parabola 2y²+6x+24=0 is at? a) (4,0) b) (-4,0) 26) The equation x²= 8y²+16 represents which conic section? a) Ellipse b) Hyperbola 27) The standard form of the 9x²-4y²=36 is a) x²/4 - y²/9 = 1 b) x²/36 - y²/9 = 1 28) If (x-3)²+(y+5)²=9 is a circle, its center and radius are? a) (3,-5); 3 b) (-3,5); 3 29) The radius of a unit circle is? a) One b) Two 30) Using the equation (x+3)²/9 - (y-2)²/4 = 1, what are the vertices? a) (0,2), (6,-2) b) (0,2), (-6,2) 31) It is also known as a one-degree equation. a) Nonlinear Equation b) Linear Equation 32) What is the standard form of a linear equation? a) Ax + By = C b) Ax - By = C 33) The following are examples of a linear equation EXCEPT: a) x + 3x = 2y b) x^2 + 2x - 8 = y 34) In which of the equations below is x=2 TRUE? a) x^0 = 1 b) x = -2 35) Which of the following equations is NONLINEAR? a) x^2/x - y^2/y = 0 b) x^2/a^2 + y^2/b^2 = 1 36) What is the value of x in 3x/2 + 3 = 4? a) 2/3 b) 1/3 37) Solve the system of equations:  a) b) 38) Solve for the possible values of x and y: a) (4,1) , (-4,-1) b) (-1,-4), (5,2) 39) In what point does the system of equation provided satisfies the equation: a) x = 3, y = -3 b) x = 1, y = 5 40) What type of lines does an inconsistent system produce? a) Ray b) Parallel Lines 41) 41. Solve for the x and y values of  a) E b) C 42) Solve for the x and y values of  a) E b) C 43) Solve for the x and y values of  a) A b) B 44) Solve for the x and y values of  a) A b) B 45) Solve for the x and y values of  a) D b) C 46) What is the solution for the system of equation for  a) x = 1, y = 3 b) x = 4, y = 6 47) Determine the x and y values that satisfy the equation of:  a) x = 23/5, y = 7/5 b) x = 5, y = 3 48) What do you call a system that does not have a solution? a) Dependent System b) Inconsistent System 49) How many solutions does an independent system have? a) Zero b) One 50) What type of system has an infinite number of solutions? a) Independent system b) Dependent System 51) Yaj is reading a book on combinatorics to prepare for his upcoming exam, however, he notices that a page is missing. The initial number of pages in the book is 200. If the sum of all the remaining page numbers is 19,990, find the missing page number. a) 110 b) 10 c) 11 d) Both C and D 52) Find the sum of all numbers from 0 to 501 exclusive, that is divisible by 5 or 10. a) 34,634 b) 38,000 c) 25,250 d) 125,250 53) Jane sends TikTok videos to her best friend to keep their streak going. They have been on a streak for 30 days, but Jane sends a different number of videos each day. On the first day, she sends 8 videos. Every day after that, she sends 2 more videos than the previous day. Using sigma notation, represent the total number of videos she can send for 100 days. a) b) c) d) 54) Suppose that an egg on a tray has a major axis with a length of 10 units and a minor axis with a length of 8 units. Find the eccentricity of the egg. a) 0.6 b) 0.28 c) 0.14 d) 1.2 55) In darts a bullseye is worth 50 points, suppose that the area for bullseye can be represented by the equation: Find the coordinates of the center of the bullseye. a) (-1, -4) b) (1, 4) 56) Ben Tennyson found a mysterious device with a circular shape similar to that of a watch, the device he found is called an omnitrix. Suppose that the watch has an equation of: and is bounded by a hyperbolic shape with equation x^2 - y^2 = 1hich of the following is a possible point of intersection? a) (13, 2√3) b) (-13, -2√5) 57) Carlos Yulo, a Filipino gymnast, won two gold medals during the Paris 2024 Olympics. Suppose that during one of his routines, his flight through the air can be modeled by the function , where represents the vertical displacement. Find the maximum height he can reach during his flight. a) 5 meters b) 4 meters c) 3 meters d) 2 meters 58) The RHS Oval is commonly used during events such as zumba, athletic meets, and other recreational activities. It is in the shape of an ellipse, suppose that it has a major axis of 200 meters long, and the minor axis is 100 meters long. Find the distance between each foci. a) 50√3 meters b) 76√3 meters c) 80√3 meters d) 100√3 meters 59) Gary traveled 4 meters south and 3 meters west when Spongebob was sleeping. How far is Gary from Spongebob? a) 2√5 meters b) 3 meters c) 4√5 meters d) 5 meters 60) While hiking, Michael accidentally kicked a rock from a height and its path can be modeled by: How long does it take for the rock to reach the ground? a) 3 seconds b) 4 seconds c) 5 seconds d) 6 seconds

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