Summer Math Packet Worksheet - 8th Grade, Grayslake Middle School Page 5
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14Directions: Please answer the following questions to the best of your abilities. Make sure that you show all
of your work when necessary. For all basic calculation problems, DO NOT USE A CALCULTOR.
1) Find the greatest common factor (GCF) of 72,
2) Find the least common multiple (LCM) of 12,
48, and 36.
20, and 24.
3) Find the next three numbers in the pattern:
4) Find the next three numbers in the pattern:
2, 6, 10, 14, ____, ____, ____
64, 16, 4, ____, ____, ____
E
:
XAMPLE
*Don’t forget the ORDER OF OPERATIONS: Please Excuse My Dear Aunt Sally
The Order of Operations
1.
P = Parentheses (perform all operations inside)
2.
E = Exponents
3.
M/D = Multiplication and Division from left to right
4.
A/S = Addition and Subtraction from left to right
2
2
(
)
( )
14 − 3
− 5 ⋅ 2 ÷ 2 = 9
− 5 ⋅ 2 ÷ 2
= 81− 5 ⋅ 2 ÷ 2
= 81−10 ÷ 2
= 81− 5
= 76
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Perform the indicated operations.
7)
2
5)
6)
8)
2
(
)
2
3 4 + 2
+ 2
−11⋅ 2
2 + 3
− 5
6 ⋅ 3 − 4 ÷ 2
6
− 3⋅ 2 ÷ 5
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10) Evaluate
−6xy + 2y if
x = −2 and
y = 3 .
9) Evaluate
+ 4 if
x = 2 .
2
3x
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