Name_________________________________________Date_________________________Period_____________
CCPS Geometry
Summer Packet of Prerequisite Skills
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Instructions:
 This packet will be due the first week of school. You will submit this packet to your geometry teacher during the
first week of class.
 Work all problems on this packet with a #2 pencil. .
 You must show all work. You may attach clean sheets of notebook paper if you need additional space, but work
shown must be neatly organized
 Follow all directions to each set of problems.
 This work is independent work. You may enlist the help of a tutor on concepts, but not specific problems in this
packet.
 Do not give answers in decimal form! Fraction answers should be written as reduced improper fractions.
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1.
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7.
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Solve each inequality.
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10.
CCPS Summer Packet – Geometry 2014
Name_________________________________________Date_________________________Period_____________
11. (
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Solve each system of equations using the substitution method. Write your answers as an ordered pair.
13.
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Solve the system of equations using the elimination method. Write your answers as an ordered pair.
17.
18.
CCPS Summer Packet – Geometry 2014
Name_________________________________________Date_________________________Period_____________
Solve the system of equations using the elimination method. Write your answers as an ordered pair.
19.
20.
Find the slope of the line passing through each pair of points.
)
21. (
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22. (
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Use the slope formula to determine if
) ( ) ( ) ( )
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parallel, perpendicular, or neither.
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Find the distance between the two points. Leave answers in reduced radical form. No decimals.
29. ( )
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CCPS Summer Packet – Geometry 2014
Name_________________________________________Date_________________________Period_____________
Find the coordinates of the midpoint of ̅̅̅̅.
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31. (
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(
33.
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32.
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34.
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Simplify.
35. √
36.
√
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40.
√
√
43. √
44. ( √ )
√
37. √
√
√
41.
( √ )
45.
38. √
√
42. ( √ )
√
√
46. √
√
Multiply. Terms of final answers should be in descending exponent order.
47. (
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48. (
)(
49. (
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50. (
√
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√
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Factor the polynomial if possible.
51.
52.
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55.
56.
CCPS Summer Packet – Geometry 2014
Name_________________________________________Date_________________________Period_____________
Simplify each expression.
58. (
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60.
61.
Simplify completely each expression.
62. (
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63. (
Simplify completely.
65. (
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64. (
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Use the quadratic formula to solve the equations. If the equation has no real solutions, write no real solutions. Write all
answers in simplest radical form.
69.
70.
Simplify each expression.
71.
74.
73.
72.
75.
CCPS Summer Packet – Geometry 2014
Name_________________________________________Date_________________________Period_____________
Graph the following:
76.
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80.
78.
For each equation find the x- and y-intercepts and graph.
81.
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CCPS Summer Packet – Geometry 2014