MM2N1. Students Will Represent and Operate with Complex Numbers

Math 2A Mid-Term Review Name:

MM2N1. Students will represent and operate with complex numbers.

1. Find the product:

2. Simplify:

3. Find the difference

4. Find the sum:

5. Simplify:

6. Simplify:

MM2A4. Students will solve quadratic equations and inequalities in one variable.

7. Describe the nature of the roots of the equation:

8. Solve using square roots.

9. Solve using the quadratic formula.

10. Solve by factoring:

MM2A3. Students will analyze quadratic functions in the forms and .

11. The domain of the given function is:

12. The range of the given function is:

13. The vertex form of the equation is:

14. Find the solution(s) to the given function:

15. The standard form of the equation is:

16. The equation of the given function is:

17. Graph the function 18. Graph the function

MM2A4. Students will solve quadratic equations and inequalities in one variable.

19. Solve algebraically.

20. Find the average rate of change for the function on the given interval.

MM2G1. Students will identify and use special right triangles.

21. The side of an equilateral triangle is 10 meters. What is the height of the triangle?

22. Find the diagonal of the rectangle:

23. The length of a diagonal of a square is 14 inches. What is its perimeter?

24. A leg of an isosceles right triangle is 12 cm. What is the hypotenuse?

25. Find X and Y

MM2G2. Students will define and apply sine, cosine, and tangent ratios to right triangles.

26. Given , what is sin B = __?

27. In right , A and B are the acute angles. If sin B = , what is cos A = __?

28. A ladder is leaning against a house so that the top of the ladder is 14 feet above the ground. The angle with the ground is 46°. How far is the base of the ladder from the house?

29. A man that is 6 ft tall casts a shadow 18 ft long. Find the angle of elevation of the sun.

30. Find the height in feet of the Eiffel Tower if the angle of elevation from the base is 82.34° and the distance from the center to the outside of each leg is 72 feet. Round your answer to the nearest tenth.

MM2G3. Students will understand the properties of circles.

31. In circle R, , , and is a diameter. Find .

32. In circle D, the diameter is 26 units and BD=5. Find the measure of. If necessary, round to the nearest tenth.

33. is tangent to circle L at K and is tangent to circle L at M. Find the value of x.

34. is tangent to . Find LN. If necessary, round to the nearest tenth.

35. Find the value of x.

36. Find the value of x. Round to the nearest tenth if necessary.

37. Find the value of x. Round to the nearest tenth if necessary.

38. is tangent to circle C at point B. Find the radius of circle C.

39. Which of the following is NOT true for the given figure?

40. is a diameter of . If ,

, and . Find .

41. Find the perimeter of the shaded region.

42. Find the area of the shaded region.

43. Find the surface area of a sphere whose diameter is 12.6 cm.

44. Find the volume of a sphere whose radius is 12 in.

45. Find the value of x and y. .

46. Find the measure of arc 1.

47. Find .

48. If the , find .

49. Find the area of the sector formed by .

50. The diameter of the earth is about 7900 miles. The diameter of Jupiter is about 88,800 miles, approximately 11 times that of the earth. How would the surface area compare to the surface area of the earth?