Summer Math Packets
Rising 9th Grade Algebra 1
Dear WCCS Students,
This is the summer math packet if you are entering 9th grade Algebra 1 next year. There are
106 questions in total which you can spread out over the summer by doing 12-15 questions per
week. Unless you register within two weeks of the beginning of the school year, you are responsible
for these concepts before school starts in fall. The first test grade of the quarter will include 50%
completion grade for the summer packet and 50% from a skills assessment given in class on these
topics.
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 the math teacher.
If you have trouble working the problems, look at online resources, ask a friend or parent for help. If
you are still having trouble please email me by July 25th. I can meet for help in early August before
school starts to go over select problems. Problems should be familiar and cover basic skills that will
help you achieve success in Algebra 1. Of course, you may need to refresh your memory as your
work through the problems. I hope you have a wonderful summer!
Top Online Resources:
http://www.Mathisfun.com/
http://Ixl.com
http://www.khanacademy.org/math/cc-eighth-grade-math
http://www.studentguide.org/a-complete-list-of-online-math-resources/
Blessings,
Viki Tolson, [email protected]
ID: 1
Rising 9th Grade Algebra 1
Name___________________________________
Summer Math Packet
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Evaluate each expression.
( )
1) 1 − −3
1
5
( )
3) −
4
1
−
3
3
( )
2) −3
4) 2
1
3
−4
8
7
1 2
−
2 5
Find each product.
5) 2
7)
2
2
⋅ −3
3
3
1
3
⋅−
4
2
6) −1
8) −
1
5
⋅ −1
2
6
1
1
⋅−
5
3
Find each quotient.
9) −2 ÷ −1
11)
3
4
−1
1
÷1
2
7
10) −2 ÷
12)
2
3
−3
2
÷5
3
4
Write each numeral in words.
13) 5,089,037
14) 4,909,395
Write each as a decimal. Use repeating decimals when necessary.
15)
4
5
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16)
-1-
5
33
Worksheet by Kuta Software LLC
List all positive factors of each.
17) 27
18) 30
Find the GCF of each.
19) 21, 49, 35
20) 42, 28, 35
Find the LCM of each.
21) 8, 20
22) 40, 30
Write each as an algebraic expression.
23) u squared is equal to 17
24) 10 more than w is equal to 7
Write each as a verbal expression.
2
26) x − 14 = 24
25) d = 41
Evaluate each expression.
27) 6 ⋅ 6 + 4 +
6
6−4
29) 3 ⋅ 5 − (4 − (6 − 4 − 1))
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28) 1 +
6
+ 22
3−1
30) 1 + 6 −
-2-
2+6
+4
2
Worksheet by Kuta Software LLC
Evaluate each using the values given.
31) a + 3 − (b − a); use a = 1, and b = 6
3
32) x + x( x + y) + y; use x = 4, and y = 1
Solve each equation.
33) −24 = n − 7
34) 54 = −18a
Write an equation for the situation then solve for x.
35) A stray dog ate 21 of your muffins. That was
3
of all of them! With how many did you
4
start?
36) After paying $7 for a sandwich, John has
$11. With how much money did he start?
Solve each equation.
37) −83 = −8a + 5
38) 3 − 3a = 51
Write an equation for the situation then solve for x.
39) Julio rented a bike from Krystal's Bikes. It
cost $13 plus $2 per hour. If Julio paid $17,
then he rented the bike for how many hours?
40) Mofor sold half of his comic books and then
bought seventeen more. He now has 33.
With how many did he begin?
Solve each equation.
41) 6a + 4 = 7a − a
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42) −16 + 7n − 5n = −4n + 8n
-3-
Worksheet by Kuta Software LLC
43) 7(−1 + 2 x) − 6 = −83
44) 8(−7 + 6v) = −296
Draw a graph for each inequality.
45) r ≤ −3
46) n > 1
−7 −6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
7
−7 −6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
7
Solve each inequality and graph its solution.
47) 9 + m ≤ 16
1
2
3
4
48) 15 >
5
6
7
8
9
10
11
296
49) 56 > −4r + 8
−16
−14
n
20
298
300
302
304
306
50) −9 − 6 x > −117
−12
−10
−8
16
17
18
19
20
21
22
23
24
25
26
Simplify. Your answer should contain only positive exponents.
3
4
51) 7v ⋅ v ⋅ 7v
53)
4
7n 2 ⋅ 2n 3
5n
55) (5 p)
3
4
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2
52) 4 x ⋅ 4 x
54)
8a 4
4
3a ⋅ 7a
56) (2k
-4-
)
3 4
Worksheet by Kuta Software LLC
Write each number in scientific notation.
57) 56000
58) 0.000108
Write each number in standard notation.
59) 3.71 × 10
1
60) 7.9 × 10
−2
Solve each proportion.
61)
6 4
=
n 3
62)
6 10
=
x
9
Answer each question and round your answer to the nearest whole number.
63) One bulb of elephant garlic costs $2. How
many bulbs of elephant garlic can you buy for
$20?
64) Ashley bought one package of cherry
tomatoes for $3. How many packages can
DeShawn buy if he has $15?
Each pair of figures is similar. Find the missing side.
65)
3
66)
6
x
8
77
x
2
22
Write each as a percent. Use repeating decimals when necessary.
67)
2
5
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68) 8
-5-
2
5
Worksheet by Kuta Software LLC
Solve each problem.
69) 88 is what percent of 121?
70) 44% of 27 is what?
71) 66% of 130 is what?
72) What percent of 81 is 72?
Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or
decrease.
73) From 87 to 10
74) From 98 to 84
Find the selling price of each item.
75) Original price of a microscope: $299.95
Discount: 20%
76) Cost of a lizard: $45.50
Markup: 70%
77) Original price of a sweater: $10.99
Tax: 1%
Find the slope of each line.
78)
79)
y
x
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y
x
-6-
Worksheet by Kuta Software LLC
80)
81)
y
y
x
x
Find the slope of the line through each pair of points. Hint: m =
82) (11, −15), (−1, −7)
y− y
x− x
83) (−2, 14), (−19, 8)
Sketch the graph of each line. Hint: y=mx+b
85) y = 2 x + 3
1
84) y = − x − 3
5
y
6
y
5
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1
1
1
2
3
4
5
−1
−6 −5 −4 −3 −2 −1
1
2
3
4
5
−1
6 x
6 x
−2
−3
−2
−4
−3
−5
−4
−6
−5
−6
Write the slope-intercept form of the equation of each line.
86)
87)
y
y
4
4
2
2
−5 −4 −3 −2 −1
1
2
3
4
5 x
−5 −4 −3 −2 −1
−2
−2
−4
−4
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-7-
1
2
3
4
5 x
Worksheet by Kuta Software LLC
Find the area of each.
88)
89)
10 cm
4 cm
1.4 km
1.4 km
90)
91)
7.7 cm
5.2 ft
3.3 ft
11.4 ft
9 cm
Find the area of each. Round your answer to the nearest tenth.
92)
93)
9 km
24 m
Find the circumference of each circle. Round your answer to the nearest tenth.
94)
95)
9.9 cm
20 ft
Find the volume of each figure. Round to the nearest tenth.
96)
97)
7m
14 ft
11 m
6m
11 m
7m
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7 ft
-8-
Worksheet by Kuta Software LLC
98)
99)
11 cm
8 ft
4 ft
9 cm
9 cm
2
2
Find each missing length to the nearest tenth. Hint: a + b = c
100)
2
101)
7.9
11.1
11.8
4.9
2
2
Do the following lengths form a right triangle? a + b = c
2
102)
6.5
3.3
5.6
1
Find the area of each. Hint: A = b ⋅ h
2
104)
103)
2.7 ft
4 ft
7 ft
4.6 ft
Classify each triangle by its angles and sides.
105)
106)
33°
45°
82°
65°
45°
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-9-
Worksheet by Kuta Software LLC