| What is the midpoint of the line segment with endpoints at (12,7) and (18,19)? a. (30,26) b. (15,13) c. (-6,-12) d. (3,6) | |
| 2 | Answer: Choose the midpoint of the line segment with endpoints at (5,9) and (11,15) a. (8,12) b. (16,24) c. (6,6) d. (-6,-6) |
| 3 | Answer: Find the distance between A(12,8) and B(4,2) a. 14 units b. 100 units c. 10 units d. -10 units |
| 4 | Answer: What is the distance between C(4,3) and D(7,7)? a. -5 units b. 7 units c. 25 units d. 5 units |
| 5 | Answer: Write the equation of the parabola y = x2 + 10x + 16 in standard form. a. y = (x + 5)2 – 9 b. y = (x + 5)2 + 41 c. y = (x + 5)2 + 16 d. y = (x + 8)(x + 2) |
| 6 | Answer: Write an equation for the parabola with vertex (1,0) if the length of the latus rectum is 1/2 and the parabola opens down. a. y = -(x – 1)2/2 b. y = -2(x – 1)2 c. x = -2(y – 1)2 d. x = -(y – 1)2/2 |
| 7 | Answer: Which is the equation of a parabola that opens downward and has axis of symmetry x = -1? a. y = (x – 1)2 + 2 b. y = (x + 1)2 + 2 c. y = -(x + 1)2 + 2 d. y = -(x – 1)2 + 2 |
| 8 | Answer: Find the center and radius of the circle with equation (x – 2)2 + y2 = 9 a. (-2,0); 9 b. (0,2); 9 c. (2,0); 3 d. (0,-2); 3 |
| 9 | Answer: Write an equation for the circle with center (2,-3) that is tangent to the y-axis. a. (x + 2)2 + (y – 3)2 = 9 b. (x – 2)2 + (y + 3)2 = 9 c. (x + 2)2 + (y – 3)2 = 4 d. (x – 2)2 + (y + 3)2 = 4 |
| 10 | Answer: Which is the equation of a circle with center (2,1) that passes through (2,4)? a. (x – 2)2 + (y – 1)2 = 9 b. (x – 2)2 + (y – 1)2 = 3 c. (x + 2)2 + (y + 1)2 = 9 d. (x + 2)2 + (y + 1)2 = 3 |
| 11 | Answer: Which is the equation of an ellipse with foci at (0,3) and (0,-3) that has the endpoints of its major axis at (0,4) and (0,-4)? a. y2/16 + x2/9 = 1 b. x2 + y2 = 16 c. x2/16 + y2/7 = 1 d. y2/16 + x2/7 = 1 |
| 12 | Answer: Referring to the figure, which equation is graphed? a. x2/16 + y2/4 = 1 b. y2/16 + x2/4 = 1 c. x2/16 – y2/4 = 1 d. y2/16 – x2/4 = 1 |
| 13 | Answer: Which is the equation of a hyperbola with vertices (0,2) and (0,-2) and foci (0,3) and (0,-3)? a. y2/5 – x2/4 = 1 b. y2/4 – x2/5 = 1 c. x2/4 – y2/5 = 1 d. x2/5 + y2/4 = 1 |
| 14 | Answer: Referring to the figure, which equation is shown graphed. a. x2/16 – y2/4 = 1 b. x2/4 – y2/16 = 1 c. y2/16 – x2/4 = 1 d. y2/4 – x2/16 = 1 |
| 15 | Answer: What is the standard form of the equation 5x2 + 5y2 – 20 = 0? a. 5x2 + 5y2 = 20 b. y2 = –x2 + 4 c. x2 + y2 – 4 = 0 d. x2 + y2 = 4 |
| 16 | Answer: What is the graph of x2 + 4y2 – 2y = 8? a. parabola b. circle c. ellipse d. hyperbola |
| 17 | Answer: Which equation has a hyperbola as its graph? a. 4x2 – 4y2 = 16 b. 4x2 – 4y = 16 c. 4x2 + 4y2 = 16 d. x2 + 4y2 = 16 |
| 18 | Answer: Find the exact solution(s) of the system of equations x2 + y2 = 16 and x = y + 4. a. (-4,0) and (0,4) b. (4,0) and (-4,0) c. (0,4) and (0,-4) d. (4,0) and (0,-4) |
| 19 | Answer: Solve the system of equations by graphing y = x2 and y = 2x. a. (0,0) and (4,-2) b. (0,0) and (-2,4) c. (0,0) and (2,4) d. (0,-1) and (2,2) |
| 20 | Answer: Referring to the figure, which system of inequalities is shown graphed? a. x2 + y2 ≤ 9 y ≤ x + 1 b. x2 + y2 ≥ 9 y ≤ x + 1 c. x2 ≤ 9 y ≥ x + 1 d. x2 + y2 ≥ 9 y ≥ x + 1 |
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