Summer Math Packet Worksheet - 8th Grade, Grayslake Middle School Page 7
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14E
:
XAMPLE
*When solving equations, you need to perform the opposite operation. If there are two steps, you need to
reverse the order of operations to choose what to do first.
To solve for m, you must get rid of the 3 and 5. Since 3 is being
3m − 5 = 7
multiplied to m and 5 is being subtracted from it, 5 will be moved
first. Use the opposite operation which is addition.
+ 5 + 5
You are left with 3 times m which means that you must divide for
3m
= 12
the opposite operation. Always show division with a “fraction
3
3
bar.”
m = 4
Simplify to find the final answer.
Solve for each variable.
€
8
2
7
3
21)
4 x + 5 = 21
19)
20)
4
÷ 2
= x
y =
÷
9
3
12
8
€
€
€
1
1
22)
3x −12 = 15
23)
24)
x = 2
x
−12 =
8
5
€
€
€
E
:
XAMPLE
*Use the following formulas to help you through percentage problems. The percentage in each formula
MUST be converted to DECIMAL form first!
Part
% =
Whole ⋅ % = Part
Whole
*Use the following formula (same version but with a slight twist in the second one) if you remember how
to solve proportion. The percentage in the formula is automatically in percent form.
€
Part
%
is
%
€
=
=
Whole
100
of
100
Solve each word problem making sure that you include units in your final answer when necessary. You may
begin to use your calculator here.
€
€
25) You’re buying jeans at Kohl’s at 35% off. How much will a $34.98 pair of jeans cost with this sale?
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