Math II Midterm Review—January 2014 Name: ______Period: ____Form:____
1. Solve:
2. Solve:
3. Solve:
4. Solve:
5. The degree of clockwise rotation that maps parallelogram PQRS onto parallelogram P′Q′R′S′ is ______.
[A] 270° [B] 90°
[C] 180°
6. Figure A'B'C'D' is the image of figure ABCD
after a rotation ______.
[A] 270° counterclockwise about the origin
[B] 180° about the origin
[C] 90° counterclockwise about the origin
7. Which glide reflection could map figure ABC to figure A' B' C'? _____
[A] Translation:(x, y)®(x + 3, y + 1)
Reflection: over the x-axis
[B] Translation:(x, y)®(x + 1, y + 3
Reflection: over the y-axis
[C] Translation:(x, y)®(x, y + 3)
Reflection: over the y-axis
[D] Translation:(x, y)®(x + 3, y-2)
Reflection: over the x-axis
8. Simplify:
Hint: combine like terms!
9. Factor completely:
Hint: Factor out GCF!
10. Determine which of the following polynomials is a factor of :
[A] [B]
[C] [D]
11. Factor completely:
Hint: Factor by GROUPING!
12. Factor completely:
Hint: Factor out GCF!
13. Factor completely:
Hint: Factor out GCF!
14. Simplify:
15. Simplify:
16. Simplify:
17. Simplify:
18. Which shows the given expression in the simplest radical form?
[A] [C]
[B] [D]
19. Simplify:
20. Write the coordinates of the image of each point by reflection in the line y = x if the pre-image is the following triangle.
A(0, 0), B( 2, 5), C ( 6, 3)
21.Quadrilateral QUAD has vertices
Q(2, 3), U(5, 2), A(4, - 2), and D(1, - 1). What are the coordinates of the image after a translation 3 units to the left and 4 units up?
22. What are the coordinates of the image of
P (-3, 8) after a clockwise rotation of 270° about the origin?
23. The change in position from the dotted figure to the solid figure is best described as a ______.
[A] dilation [B] rotation
[C] reflection [D] translation
24. The solid triangle is the image of the dashed triangle formed by a dilation centered at the origin. What is the scale factor? ______
25. Find the vertex of the given function:
26. Solve:
27. Simplify:
Hint: MULTIPLY using Box or foil!
28. Multiply:
Hint: MULTIPLY using Box or foil!
29. Simplify:
30. Simplify:
31. Solve:
32. Solve:
33. Solve using the quadratic formula:
34. Factor:
35. Factor:
36. Factor Completely:
Hint: factor out GCF first!
37. Identify the vertex of the graph. Tell whether it is a minimum or a maximum.
38. Which direction does the graph of the parabola
open for ? (up or down?)
39. How many x-intercepts does the graph have?
40. The coordinates of the turning point of the graph with equation y = x2 + 3x + 6 are:
41. If an object is dropped from a height of 50 feet, the function gives the height of the object after t seconds. Graph the function.
42. Graph . Label the Axis of Symmetry and the vertex.
43. A ball is thrown into the air with an upward velocity of 30 ft/s. Its height h in feet after t seconds is given by the function . In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?