Summer Math Packets
Rising 9 th Grade Algebra 1
Dear WCCS Students,
This is the summer math packet if you are entering 9 th 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 25 th . 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, vtolson@wccs.org

Rising 9th Grade Algebra 1
Summer Math Packet
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h
Evaluate each expression.
1) 1 −
(
−3
) 1
5
3)
(
−
4
3
)
−
1
3
Find each product.
5) 2
2
⋅ −3
3
2
3
7)
1
4
⋅ −
3
2
Find each quotient.
9) −2 ÷ −1
3
4
11)
−1
7
÷ 1
1
2
Write each numeral in words.
13) 5,089,037
Write each as a decimal. Use repeating decimals when necessary.
15)
4
5
5
16)
33
ID: 1
Name___________________________________
2)
(
−3
1
8
)
− 4
3
7
4) 2
1
−
2
2
5
6) −1
1
⋅ −1
2
5
6
8) −
1
⋅ −
5
1
3
10) −2 ÷
2
3
12)
−3
4
÷ 5
2
3
14) 4,909,395
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B
-1-
Worksheet by Kuta Software LLC

List all positive factors of each.
17) 27
Find the GCF of each.
19) 21 , 49 , 35
Find the LCM of each.
21) 8 , 20
Write each as an algebraic expression.
23) u squared is equal to 17
Write each as a verbal expression.
25) d
2
= 41
Evaluate each expression.
6
27) 6 ⋅ 6 + 4 +
6 − 4
18) 30
20) 42 , 28 , 35
22) 40 , 30
24) 10 more than w is equal to 7
26) x − 14 = 24
6
28) 1 +
3 − 1
+ 2
2
29) 3 ⋅ 5 −
(
4 −
(
6 − 4 − 1
))
30) 1 + 6 −
2 + 6
+ 4
2
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s
-2-
Worksheet by Kuta Software LLC

Evaluate each using the values given.
31) a + 3
3
−
( b − a
)
; use a = 1 , and b = 6
Solve each equation.
33) −24 = n − 7
32) x + x
( x + y
)
+ y ; use x = 4 , and y = 1
34) 54 = −18 a
Write an equation for the situation then solve for x.
35) A stray dog ate 21 of your muffins. That was
3
4
of all of them! With how many did you start?
36) After paying $7 for a sandwich, John has
$11. With how much money did he start?
Solve each equation.
37) −83 = −8 a + 5 38) 3 − 3 a = 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) 6 a + 4 = 7 a − a 42) −16 + 7 n − 5 n = −4 n + 8 n
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Z
-3-
Worksheet by Kuta Software LLC

43) 7
(
−1 + 2 x
)
− 6 = −83 44) 8
(
−7 + 6 v
)
= −296
Draw a graph for each inequality.
45) r ≤ −3
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
46) n > 1
−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 5 6 7 8 9 10 11 n
48) 15 >
20
296 298 300 302 304 306
49) 56 > −4 r + 8
−16 −14 −12 −10 −8
50) −9 − 6 x > −117
16 17 18 19 20 21 22 23 24 25 26
Simplify. Your answer should contain only positive exponents.
51) 7 v
3
⋅ v
4
⋅ 7 v
4
52) 4 x
2
⋅ 4 x
53)
7 n
2
⋅ 2 n
3
5 n
3
8 a
4
54)
3 a
4
⋅ 7 a
55)
(
5 p
) 4
56)
(
2 k
3
) 4
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X
-4-
Worksheet by Kuta Software LLC

Write each number in scientific notation.
57) 56000
Write each number in standard notation.
59) 3.71 × 10
1
Solve each proportion.
61)
6 n
=
4
3
58) 0.000108
60) 7.9 × 10
−2
62)
6
9
=
10 x
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 6
66) x
8 x
2
77
22
Write each as a percent. Use repeating decimals when necessary.
67)
2
5
68) 8
2
5
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J
-5-
Worksheet by Kuta Software LLC

Solve each problem.
69) 88 is what percent of 121?
71) 66% of 130 is what?
70) 44% of 27 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) y x
79) y x
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3
-6-
Worksheet by Kuta Software LLC

80) y
81) y x x y − y
Find the slope of the line through each pair of points. Hint: m = x − x
82)
(
11 , −15
)
,
(
−1 , −7
)
83)
(
−2 , 14
)
,
(
−19 , 8
)
Sketch the graph of each line. Hint: y=mx+b
84) y = −
1
5 x − 3
5
4
3
2
1
6 y
−6 −5 −4 −3 −2 −1
−1
−2
−3
−4
−5
−6
1 2 3 4 5 6 x
Write the slope-intercept form of the equation of each line.
86) y
87)
4
85) y = 2 x + 3
5
4
3
2
1
6 y
−6 −5 −4 −3 −2 −1
−1
−2
−3
−4
−5
−6
1 2 3 4 5 6 x
4 y
2 2
−5 −4 −3 −2 −1
−2
1 2 3 4 5 x
−4
−5 −4 −3 −2 −1
−2
1 2 3 4 5 x
−4
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I 1 A A u l v l P W r i i 6 g x h A t N s H M r c e 5 s 0 e t r O v w e H d c .
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G
-7-
Worksheet by Kuta Software LLC

Find the area of each.
88)
1.4 km
1.4 km
90)
7.7 cm
9 cm
89)
91)
10 cm
5.2 ft
3.3 ft
11.4 ft
4 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)
11 m
7 m
97)
6 m
11 m
7 m
14 ft
7 ft
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F G m A V l 0 l T V r f i q g s h c t 4 s o H r P e p s 8 e 5 r E v P e c d 2 .
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M
-8-
Worksheet by Kuta Software LLC

98)
11 cm
99)
8 ft
9 cm
9 cm
Find each missing length to the nearest tenth. Hint:
100) a b
101) c
7.9
11.1
11.8
4.9
Do the following lengths form a right triangle? a
102)
6.5
3.3
5.6
b = c
4 ft
Find the area of each. Hint: A = b ⋅ h
103)
2.7 ft
4 ft
104)
7 ft
4.6 ft
Classify each triangle by its angles and sides.
105)
45°
106)
82°
65°
33°
45°
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o 2 J A i l q l J L r m i O g q h T t 9 s J G r 8 e r s j e p r Q v L e x d Y .
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6
-9-
Worksheet by Kuta Software LLC