Summer Review Packet
Entering GEOMETRY
Name: _________________________________________
The purpose of this review packet is to give you a running start in Geometry.
Basic instructions:
 Wait to complete the packet until near the start of school.
 Plan to spend an hour a day for about two weeks before school begins.
 Expect to turn in the completed packet to your teacher on the first day of class.
 Answers to the problems are included; however, just answers on your paper without work shown will not receive credit.
 You may need to borrow textbooks from the school library to look up concepts from your previous classes that you may
have forgotten.
 You may do your work on this paper.
Find the slope of each line:
1.
2.
3.
4.
5.
6.
Find the slope of the line through each pair of points:
7. (
9. (
) (
) (
)
)
8. (
10. (
Find the slope of a line parallel to each given line:
11.
12.
Find the slope of a line perpendicular to each given line:
13.
14.
15.
16.
) (
)
) (
)
Write the slope-intercept form of the equation of the line:
17.
18.
19.
20.
21. through: (
) and (
)
22. Through: (
) and (
),
)
Write the point-slope form of the equation of the line:
23. through: (
),
24. Through: (
25. through: (
),
26. Through: (
27. through: (
), perpendicular to
28. Through: (
), parallel to
), parallel to
Find the distance between each pair of points:
29. (
), (
)
30. (
)(
)
Find the midpoint of the line segment with the given endpoints:
31. (
)(
)
32. (
)(
)
Given the midpoint and one endpoint of a line segment, find the other endpoint:
33. endpoint: (
), midpoint: (
)
34. endpoint: (
), midpoint: (
Simplify each expression:
35.
37.
36.
(
39.
(
41. (
)(
)
38.
)
40.
)
42. (
Solve each equation:
43.
45.
44.
(
)
46.
Solve each proportion:
47.
48.
49.
50.
(
(
)
)
)
(
)
)
Solve each system by elimination:
51.
52.
Solve each system by substitution:
53.
54.
Simplify:
55. √
56. √
57. √
58.
59. √
61.
63.
√
√
60.
√
√
√
62. √ (
64. √
Solve each equation by factoring:
65.
√
66.
√
√
)
67.
68.
69.
70.
Solve each equation with the quadratic formula:
71.
72.
ANSWERS
1.
2.
3.
8.
9.
13.
14.
15.
19.
20.
21.
22.
26.
27.
28.
7.
Undefined
25.
(
(
31.
37.
43.
)
)
-2
49.
55.
61.
-14
67.
{-3,5}
√
√
32.
(
)
4.
0
5.
0
10.
3
0
16.
1
(
33.
38.
44.
3
39.
45.
50.
56.
62.
-14 or 10
√
√
√
51.
57.
63.
10
68.
{-4,-1}
69.
{0,4}
)
(
)
√
(
34.
40.
46.
1
(
52.
58.
64.
70.
)
-105
(
)
6.
Undefined
11.
12.
0
17.
18.
23.
24.
4
}
√
29.
36.
41.
47.
42.
48.
71.
(
)
54.
60.
66.
√
{3,1}
{
(
}
72.
)
√
30.
35.
53.
59.
65.
√
{
)
1
10
(
)
√
{2,4}
√
√