8th Grade Summer Math Packet Worksheet - Khan Academy, 2014 Page 10
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21T
F
:
S
O
S
E
OPIC
OUR
OLVING
NE
TEP
QUATIONS
There
a re
f ive
t ypes
o f
“ one-‐step
e quations”
t hat
w e
l earned
t o
s olve.
I n
a ll
c ases,
t he
g oal
i s
t o
“undo”
w hatever
o peration
h as
b een
p erformed
o n
t he
v ariable
i n
o rder
t o
g et
i t
a lone.
T o
d o
that,
w e
j ust
“ undo”
w hatever
h as
b een
d one
t o
t he
v ariable.
Addition
E quations:
T o
s olve,
w e
j ust
s ubtract
f rom
b oth
s ides
w hat
w as
a dded
t o
x .
x + = −
7
12
Subtraction
E quations:
T o
s olve,
w e
j ust
a dd
t o
b oth
s ides
w hat
w as
s ubtracted
f rom
x .
x − =
8 10
Multiplication
E quations:
T o
s olve,
w e
j ust
d ivide
b oth
s ides
b y
w hat
m ultiplied
x .
5
x = −
25
Division
E quations:
T o
s olve,
w e
j ust
m ultiply
b oth
s ides
b y
w hat
d ivided
x .
x
= −
7
3
Fractional
E quations:
T o
s olve,
w e
j ust
m ultiply
b oth
s ides
b y
t he
r eciprocal
o f
t he
f raction
that
m ultiples
x .
2
x =
16
3
Instructions:
S olve
e ach
e quation,
b ut
u ndoing
w hat
h as
b een
d one
t o
t he
v ariable.
1.
=
b +
15 8
d
3.
= −
10
5
2
2.
d = −
10
7
4.
4
b
76
−
=
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