WCCS Summer Math Packets
2016-2017 School Year
Dear WCCS Students,
Please complete the summer math packet for the math class you will be taking next school
year. Unless you register within two weeks of the beginning of the school year, you are responsible
to complete the packet before the first day of school. Your first test grade of the quarter will include
50% completion grade for the summer packet and 50% from a skills assessment given in class at the
end of the first week.
This packet will be collected from each student the first day back and adequate work must
be shown for problems as appropriate. Five points will be deducted for each day the assignment
is not turned in to your math teacher.
If you have trouble working the problems, look at online resources, ask a friend or parent for help.
Problems should be familiar from your previous course of math and help you prepare for success in
the next course. In some cases, you may need to refresh your memory as your work through the
problems. Please refer to the list of online resources below. There are many more resources and
videos available on certain topics if you do an online search. We hope you have a blessed summer!
Top Online Resources:
http://www.Mathisfun.com/
http://Ixl.com
http://www.khanacademy.org/
Denise Kendrick, [email protected]
WCCS Math Department
Precalculus H
Name___________________________________ ID: 1
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Summer Work
Date________________ Period____
Sketch the graph of each line.
1) x - 2 y = -2
2) y = -2x - 5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Solve each system.
3) 5x + 2 y = -4
x + 2y = 4
4) 5x + 3 y = 9
x - 3y = 9
5) y = 2x - 1
1
y=- x+4
2
5
6) y = x + 4
4
3
y=- x-4
4
7) 8 = 2 y - 3x
-y = 2
8) - y - 3 = x
-1 = x - y
Solve each system by elimination.
9) 6a + b - c = 10
-6a + b - c = -2
6a + 2b - 2c = 14
10) 4r + 3s - t = 4
-5r - 5s + 4t = -17
6r - 3s - 5t = -6
Solve each equation by taking square roots.
11) 7 - 5x 2 = -398
12) 9 - 7r 2 = -187
Solve each equation by factoring.
13) x 2 - 25 = 0
14) x 2 - 13x + 40 = 0
Worksheet by Kuta Software LLC
-1-
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15) x 2 + 2x - 19 = 5
16) v 2 - 8v + 23 = 8
Solve each equation by completing the square.
17) x 2 - 4x - 26 = -5
18) x 2 - 16x - 82 = -7
Solve each equation with the quadratic formula.
19) a 2 = 23
20) 3x 2 - 14 = 0
21) 6v 2 = -6 + 10v
22) k 2 - 4k = 45
Factor each completely.
23) 6b 3 + 3b 2 - 16b - 8
24) 28b 3 + 20b 2 - 35b - 25
Simplify each expression.
25) (5 - 5x 4 + 7x 2 ) - ( x 2 + 6x 4 + 2)
26) (3x 3 - 1 - 3x) - (4x + 8 - 5x 4 )
Find each product.
27) (a + 8)(a - 2)
28) (3n - 3)(6n - 5)
29) (5b - 6)(7b + 4)
30) (3b - 8)(3b + 6)
31) (3 + 5a)
2
33) (4b 2 - 2b - 4)(4b - 1)
32) (b 2 + 2b - 1)(b - 6)
34) (v 2 + 4v - 2)(4v 2 + 5v + 7)
Divide.
35) ( x 3 - 5x 2 - 38x - 9) ¸ ( x + 4)
36) ( p 3 + 2 p 2 + 1) ¸ ( p + 2)
Worksheet by Kuta Software LLC
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37) (b 3 + 10b 2 + 20b - 27) ¸ (b + 5)
38) (3x 3 - 22x 2 + 16x + 45) ¸ ( x - 6)
Evaluate each function at the given value using the Remainder Theorem.
39) f (n) = 6n 4 + 21n 3 + 4n 2 - 9n + 29 at n = -3
40) f ( x) = x 4 + 5x 3 - x 2 - x + 15 at x = -5
Find the inverse of each function.
41) g( x) =
9 - 2x
3
42) f (n) = -
43) g(n) = 2(n - 3)
3
44) g( x) =
3
1
+1
n-1
-x + 2
2
Simplify.
45) 2 2 - 3 54 + 3 27 -
24
46) 3 20 - 2 45 + 2 8 + 3 18
47)
216
48)
49)
128 p 2
50)
51)
5( 6 +
5)
52)
3
-500
320v 3
(
3 - 5)( 3 - 4)
Write each expression in radical form.
53) v
2
3
Worksheet by Kuta Software LLC
-3-
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Write each expression in exponential form.
54)
( 6 10n ) 5
Simplify. Your answer should contain only positive exponents.
4
-2 3
2 -2
55) 4x y × 2x y
3
2
× 3x y
5
3
5
3
3
4
-1 -3
56) 4x y × x y
Solve each equation.
3
2
57) 5r = 1080
5
3
58) x + 4 = 1028
Solve each equation. Remember to check for extraneous solutions.
59)
14 - b = 3
61)
-40 + 13n = n
63) a - 3 =
a+3
60)
2n - 17 =
62) n =
n
9
30 - n
64) x + 2 =
2x + 12
Sketch the graph of each function.
65) y =
1 x-2
×3
+2
2
()
1
66) y = 2 ×
3
x+2
+1
Solve each equation.
67) 8
-3n - 2
=8
2
2x
68) 9 = 27
3x
Evaluate each expression.
69) log 3 27
70) log 2 2
Worksheet by Kuta Software LLC
-4-
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Condense each expression to a single logarithm.
71) log 2 w +
log 2 u
+
log 2 v
2
2
72) 3 log 6 7 +
log 6 12
3
Expand each logarithm.
73) log 3 (11
3
12 )
74) log 7
a
5
b
5
Solve each equation.
75) log 2 (4x - 1) = log 2 3x
76) log 7 (-3x - 7) = log 7 (2x + 8)
77) log 5 3x 2 + log 5 4 = 2
78) log 9 3 + log 9 ( x 2 - 7) = 3
Simplify each expression.
79)
6
4x
15x + 3x
2x
80)
5
4b
b-1
b-2
81)
k 2 - 3k - 54 4k
×
k+6
k-9
82)
4
3x - 18
×
2
18 + 3x - x
4
83)
n 2 + 8n + 12
1
¸
2
48 + 2n - n
n-8
2
84)
x2
9
3 3
+
x x
Identify the vertex and directrix of each. Then sketch the graph.
85) y - 4 = ( x - 2)
2
Worksheet by Kuta Software LLC
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Identify the center and radius of each. Then sketch the graph.
2
2
86) ( x + 2) + ( y - 4) = 1
Identify the vertices, co-vertices, and foci of each. Then sketch the graph.
2
87) x +
( y + 2) 2
=1
25
Identify the vertices and foci of each. Then sketch the graph.
2
88) ( x - 3) -
( y + 3) 2
=1
4
Find the measure of each angle indicated. Round to the nearest tenth.
89)
90)
C
6
q
B
B
14.1
5
A
A
2
q
C
Worksheet by Kuta Software LLC
-6-
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Find the measure of each side indicated. Round to the nearest tenth.
91)
C
92)
x
B
61°
A
32°
x
B
4
C
8.4
A
Use the given point on the terminal side of angle q to find the value of the trigonometric
function indicated.
93) cot q ; (11, -18)
94) sin q ; (-4, -3)
Solve each triangle. Round your answers to the nearest tenth.
95)
96)
C
B
96°
28°
A
B
30 m
C
75°
42°
24 yd
A
97)
98)
C
16 ft
13 ft
24 ft
C
B
14 km
B
117°
8 km
A
A
Worksheet by Kuta Software LLC
-7-
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