8th Grade Summer Math Packet Worksheet - Khan Academy, 2014 Page 12
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21T
F
:
S
T
S
E
OPIC
IVE
OLVING
WO
TEP
QUATIONS
The
g oal
o f
s olving
t wo-‐step
e quations
i s
s imple:
g et
t he
v ariable
a lone
o n
o ne
s ide
o f
t he
e qual
sign.
T o
d o
t his
w e
f irst
u ndo
a ddition
o r
s ubtraction,
a nd
t hen
w e
u ndo
m ultiplication
o r
d ivision.
Solve
e ach
e quation.
T hen
c heck
y our
s olution.
Example
:
10 3
x
1
=
+
1
1 (Subtract 1 from both sides)
−
−
⇒
9 3 (To get x alone, divide both sides by 3)
x
=
9
3
x
=
⇒
3
3
3
x
=
To check the solution, substitute it into the original equation for x:
If we are correct and x=3
, then
3
x
1 must equal
+
3(3) 1 9 1 10
+ = + =
Because our original equation was 3
x
1 10, and when we checked our answer we got 10,
+ =
we know we solved correctly.
Instructions:
S olve
e ach
e quation.
T hen
c heck
y our
s olution
b y
p lugging
i t
i nto
t he
o riginal
equation
i n
p lace
o f
t he
v ariable.
B ecause
t here
a re
t wo
s teps
t o
e ach
p roblem,
I
h ave
o nly
given
y ou
1 0
p roblems
t o
c omplete.
1.
−
2 10
d
3
− =
3.
=
8 2
g
4
− +
2. 7
2 3b
4.
= −
= − +
3 5
n
1
− −
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