1. If rectangle ABCD has vertices A(0, 0), B(a, 0), and C(a, b), find the coordinates of D. A. (a, 0) B. (0, b) C. (0, -b) D. (0, 3) Hint 2. Write the general form of the equation of the circle that passes through the points at (4, 2), (–3, 1), and (–2, –6). A. x2 + y2 – 2x – 4y + 20 = 0 B. x2 + y2 – 2x + 4y – 20 = 0 C. x2 + y2 + 2x – 4y – 20 = 0 D. x2 + y2 + 2x + 4y – 20 = 0 Hint 3. Write the equation of the ellipse whose center is at the origin, a = 6, and . A. B. C. or D. or Hint 4. Find the equation of the hyperbola with foci at (8, 2) and (-4, 2) whose transverse axis is 10 units long. A. B. C. D. Hint 5. Find the standard form of the equation x2 - 5y2 - 2x - 10y - 9 = 0. A. B. C. D. Hint 6. Write the equation of the parabola whose vertex is at (-6, 2) and whose focus is at (4, 2). A. (y - 2)2 = 40(x - 4) B. (x - 2)2 = 40(y + 6) C. (y - 2)2 = 40(x + 6) D. (x - 2)2 = -40(y + 6) Hint 7. Identify the conic section represented by the equation 2x2 - 6x + 2y2 + 12y + 18 = 0. A. ellipse B. parabola C. circle D. hyperbola Hint 8. In the general equation of a conic, B = 0, A = C = 1, D = -4, E = -6, and F = 4. Write the equation in standard form. A. (x - 2)2 + (y + 3)2 = 9 B. (x - 2)2 + (y - 3)2 = 9 C. (x - 3)2 + (y - 2)2 = 9 D. (x - 3)2 + (y + 2)2 = 9 Hint 9. Write an equation in general form of y = x2 - x + 5 for T(1, -2). A. x2 - 3x - y - 5 = 0 B. x2 - 3x - y + 5 = 0 C. x2 + 3x - y + 5 = 0 D. x2 - 3x + y + 5 = 0 Hint 10. Solve the system of equations algebraically.x - y + 2 = 0x2 + y2 = 10 A. (-1, -3), (3, 1) B. (4, 6) C. (1, 3) D. (-3, -1), (1, 3) Hint 11. Graph the system of inequalities and . A. B. C. D. Hint 12. Find the distance between points (5, 4) and (-2, -3). Round to the nearest tenth. A. 14 B. 9.9 C. 7.1 D. 3.2 Hint 13. Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form. A. (x + 1)2 + (y - 2) 2 = 4 B. (x - 1) 2 + (y + 3) 2 = 4 C. (x + 1) 2 + (y - 3) 2 = 4 D. (x - 1) 2 + (y - 2) 2 = 4 Hint 14. Write an equation of an ellipse with foci at (2, 0) and (-2, 0) and a = 4. A. B. C. D. Hint 15. Find the vertex of the parabola with equation of x2 = 3y + 12. A. (4, 0) B. (12, 0) C. (0, -12) D. (0, -4) Hint 16. Write an equation in general form of for T(2,-3). A. B. C. D. Hint