Download Infinite Pre-Algebra - Summer Math Work 2016

Math for rising 7th graders Mr. Theiss' Algebra Readiness
Name___________________________
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Summer Math Work 2016
You should be able to work all operations with INTEGERS. Evaluate each expression. Do
NOT use a calculator:
1) 23 + -25
2) -49 + 11
3) -39 - -25
4) 11 + 16 - 45
5) -18 - -15 - 26
6) -50 + -14 + -36
7) 28 + 10 - 3 - 39
8) -34 - -35 + 45 + 13
9) 44 - 39 + 12 + -39
10) -33 + -20 - -39 - 2
You should be able to evaluate all operations with RATIONAL NUMBERS. Evaluate each
expression. No Calculators:
11) -
5
1
+
3
2
12) -
( )
13) -
15)
5
1
+ (-2) 6
2
( )
1
3
1 7
+ -1 - 2 +
4
5
2 5
17) -1 - 2 +
3
2
( )
19) -
21) 3
8
1 6
+4 +
5
6 5
1
5
+ -3
5
6
14)
1
5
2
3
( )
2
3
+1- 3
8
16) -2 -
9
3
+ 8
2
( )
18) -
20)
( )
1
1
9
+4 - 2
3
7
( )
7
5
1
+ + 4
4
8
22) 2
3
2
+ -2
8
7
You should be able to SOLVE EQUATIONS involving one and two steps. Solve each equation:
23) -12 = n - 20
24) -11 = r - 17
Worksheet by Kuta Software LLC
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25) -13 = a + (-12)
27) 0 =
29)
x-7
1
6+x
=2
5
26)
n
= -8
4
28) 198 = 10x + 8
30) 41 = 9b + 5
31) 7x + 7x = 0
32) 1 + 5 p - 3 p = -7
33) 7x - 4x = -27
34) 2 - 3n + 9n = 14
35) -24 = 8 p - 4 - 4
36) 0 = -5v - 4v
37) 3 - 8n - 4n = 27
You should be able to ADD/SUBTRACT DECIMALS. Evaluate each expression.
38) (-1.2) - 4.08 - (-1.7)
39) (-3.3) - 3.2 + (-5.5)
40) (-5.4) - 5.3 + 3.4
41) (-4.3) + 0.4 + 1.9
42) 1.6 + 5.8 + 5.1 - 2.6
You should be able to WRITE EQUIVALENT DECIMALS, FRACTIONS, and PERCENTS.
Evaluate each expression. Write each as a fraction.
43) 0.1
44) 0.2
45) 0.954
You should be able to WRITE EQUIVALENT DECIMALS, FRACTIONS, and PERCENTS.
Evaluate each expression. Write each as a percent.
46) 0.87
47) 0.08
48) 0.00492
49) 0.22
Worksheet by Kuta Software LLC
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You should be able to WRITE EQUIVALENT DECIMALS, FRACTIONS, and PERCENTS.
Evaluate each expression. Write each as a decimal.
50)
3
4
51)
6
11
You should be able to WRITE EQUIVALENT DECIMALS, FRACTIONS, and PERCENTS.
Evaluate each expression. Write each as a fraction.
52) 41.4%
53) 9.1%
Evaluate each decimal expression. Find each quotient. NO Calculators:
54) 3.5 ¸ 9.1
56)
55) 7.7 ¸ 3.5
0.4
3.48
You should be able to ROUND DECIMALS to the place specified. Round each to the PLACE
indicated.
57) 7.129684
58) 2.321
59) 7.313063
60) 1.57529
61) 5.1179
You should be able to use the DISTRIBUTIVE PROPERTY then COMBINE LIKE TERMS.
Simplify each expression.
62) 7x - 4(1 + 5x)
63) -9(5 + 4a) - 6
64) -10(1 - 10r) + 5r
65) -7(4a + 2) - 7
66) 5 - 9(4a + 5)
67) 3(1 + 6x) + 7x
68) -9(-2 + 3v) - 9
69) 6 - 6(5 + 7k)
You should know the difference between and factor and a multiple. You should be able to
FACTOR numbers, list the GREATEST COMMON FACTOR, and LEAST COMMON
MULTIPLE of numbers .List all positive factors of each.
70) 86
71) 54
Worksheet by Kuta Software LLC
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72) 88
You should know the difference between and factor and a multiple. You should be able to
FACTOR numbers, list the GREATEST COMMON FACTOR, and LEAST COMMON
MULTIPLE of numbers. List the prime factorization using exponents.
73) 57
74) 70
75) 84
76) 88
You should know the difference between and factor and a multiple. You should be able to
FACTOR numbers, list the GREATEST COMMON FACTOR, and LEAST COMMON
MULTIPLE of number. Find the LCM of each.
77) 40, 35
78) 33, 21
You should know the difference between and factor and a multiple. You should be able to
FACTOR numbers, list the GREATEST COMMON FACTOR, and LEAST COMMON
MULTIPLE of numbers. Find the GCF of each.
79) 27, 36
80) 28, 49
81) 30, 24
82) 18, 45
You should be abel to apply the ORDER OF OPERATION to a numeric expression. Evaluate
each expression.
83) 3 ´ 2 - 1
84) 10 ¸ (2 ´ 3 - 1)
3
85) 5(3 - 1) - 2 - 3
87) (5 - (5 - 4) ´ 4) ´ 4
86) 18 ¸ 3(6 - 2) - 6
2
Worksheet by Kuta Software LLC
-4-
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You should be able to PLOT POINTS ON THE COORDINATE PLANE. Plot each point.
88) B(6, 0)
E(6, 5)
C(9, 9)
F (-3, 4)
D(-3, -1)
y
10
8
6
4
2
-10
-8
-6
-4
-2
2
4
6
8
10 x
-2
-4
-6
-8
-10
You should be able to find the AREA of a circle, quadrilateral, square, and triangle. Find the
area of each. Round your answer to the nearest tenth.
89)
90)
5 ft
6 in
91)
92)
1.9 yd
7.7 cm
2.7 yd
7.7 cm
93)
4.3 yd
8 yd
Worksheet by Kuta Software LLC
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You should be able to recognize EQUIVALENT FRACTIONS (ratios). State if each pair of
ratios are equivalent.
94)
4
8
and
3
6
95)
8
2
and
12
3
96)
4
2
and
12
3
97)
6
2
and
9
3
98)
11
143
and
9
117
99)
72
9
and
88
11
You should be able to set up EQUIVALENT RATIOS to solve for unknown variables. Solve
each proportion.
100)
7
p
=
10 5
101)
9 7
=
x 9
Y ou should be able to write a number in SCIENTIFIC NOTATION. Write each number in
scientific notation.
102) 2100
103) 0.003
104) 7400
Worksheet by Kuta Software LLC
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