Total Questions : 30
Expected Time : 30 Minutes

1. What is the distance between the points (-1, 3) and (2, -2) in a Cartesian plane?

2. What is the slope of a line parallel to the line with equation y = -3x + 2?

3. If a line has a slope of 1/3 and passes through the point (3, 4), what is the equation of the line in slope-intercept form (y = mx + b)?

4. If a point lies on the x-axis, what is the value of its y-coordinate?

5. What is the distance between the points (7, 3) and (-2, 1) in a Cartesian plane?

6. What is the equation of a circle in standard form with center (2, -3) and radius 5?

7. If a line has a slope of 3 and passes through the point (2, -4), what is the equation of the line in slope-intercept form (y = mx + b)?

8. What are the coordinates of the midpoint between the points (-2, 1) and (3, -5) in a Cartesian plane?

9. If the slope of a line is undefined, what can be said about the line?

10. What are the coordinates of the point that is equidistant from the points (1, 2) and (5, 6) in a Cartesian plane?

11. If a line has a slope of 1/4 and passes through the point (2, -3), what is the equation of the line in slope-intercept form (y = mx + b)?

12. If a line passes through the points (-4, 2) and (2, -1), what is the slope of the line?

13. If a line is parallel to the x-axis, what is the slope of the line?

14. What is the distance between the points (-3, 1) and (2, 4) in a Cartesian plane?

15. If a line has a slope of -1/2 and passes through the point (3, 4), what is the equation of the line in slope-intercept form (y = mx + b)?

16. What are the coordinates of the point that divides the line segment joining (-3, 4) and (5, -2) in a 3:2 ratio?

17. If a line passes through the points (2, 4) and (6, -2), what is the slope of the line?

18. If a line has a slope of 2 and passes through the point (1, 5), what is the equation of the line in slope-intercept form (y = mx + b)?

19. If a line passes through the points (0, 2) and (4, 2), what is the slope of the line?

20. What is the equation of the circle with center (-3, 2) and radius 4?

21. Given two points (2, 4) and (6, 8), what is the equation of the line passing through these points?

22. What is the equation of the ellipse in standard form with major axis along the x-axis, center at (1, -3), semi-major axis of length 4, and semi-minor axis of length 2?

23. What is the equation of the line passing through the points (1, -2) and (3, 4)?

24. What are the coordinates of the centroid of a triangle with vertices at (0, 4), (3, 1), and (6, 7)?

25. If a triangle has angles measuring 30 degrees, 60 degrees, and 90 degrees, what type of triangle is it?

26. What are the coordinates of the midpoint between the points (1, -3) and (-5, 7) in a Cartesian plane?

27. In a Cartesian plane, if the point (2, 4) is reflected across the y-axis, what are the new coordinates of the point?

28. If a line is parallel to the y-axis, what is the slope of the line?

29. What is the distance between the points (0, 0) and (3, 4) in a Cartesian plane?

30. In a Cartesian plane, if the points (a, -3) and (5, b) are equidistant from the point (2, 1), what is the value of a + b?