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Flip Charts
Multistep Equations
Mathematics, Grade 7
❮
1
/
2
❯
Solving
Multistep
Equations
with
Fractions
Solving
Multistep
Equations
with
Like
Terms
8y
+
2
–
3y
=
17
Solve:
=
10
Solve:
5x
–
5
7
=
10
=
70
5x
–
5
7
5x
–
5
•
Follow
the
order
of
operations
in
reverse
when
solving
equations
with
more
than
one
operation
(multistep
equations).
•
Goals
of
solving
multistep
equations:
•
Place
the
variables
on
one
side
of
the
equal
sign
and
the
numbers
on
the
other
side.
•
Have
the
number
in
front
of
the
variable
equal
to
one.
•
Place
the
variables
on
the
same
side.
•
The
number
in
front
of
the
variable
must
be
equal
to
one.
•
Two
inverse
operations
are
needed
to
solve
the
equation
above
–
subtraction
& division.
Solving
Two-Step
Equations
Using
Division
Solving
Equations
with
Variables
on
Both
Sides
Solving
Two-Step
Equations
Using
Multiplication
3
x
+
8
=
23
3
x
+
8
=
15
x
=
5
–
8
–
8
4
groups
of
-3
=
-12
5n
+
3
=
28
x
–
5
=
20
5n
=
25
=
5n
5
–
3
–
3
–
2
–
2
–
3x
–
3x
4
•
•
4
7
•
•
7
+
5
+
5
+
5
+
5
0
9
x
Subtract
3
from
both
sides
of
the
equation.
Multiply
both
sides
by
4.
Multiply
both
sides
by
7.
Divide
both
sides
of
the
equation
by
5.
Divide
both
sides
by
5.
25
5
1
4
=
25
x
1
4
=
n
5n
+
3
=
28
5
5x
5
75
5
=
=
=
x
15
y
=
x
3
6
=
x
100
Solve:
x
–
5
=
20
Solve:
1
4
Add
5
to
both
sides.
8y
+
2
–
3y
=
17
5y
+
2
=
17
Multiply
both
sides
by
7.
Combine
like
terms
(8y
–
3y).
Combine
like
terms
(8y
–
3y).
Subtract
2
from
both
sides.
Subtract
2
from
both
sides.
5y
+
2
=
15
Divide
both
sides
by
5.
5y
5
15
5
=
5x
–
7
=
3x
+
5
5x
–
7
=
3x
+
5
2x
–
7
=
5
Solve:
+
7
+
7
2x
–
7
=
12
Add
7
to
both
sides.
2x
2
12
2
=
Subtract
3x
from
both
sides.
Divide
both
sides
by
2.
© Copyright NewPath Learning. All Rights Reserved. 93-4701
www.newpathlearning.com
Multistep
Equations
\|xiBAHBDy01675lz[
Solving
Multistep
Equations
with
Fractions
Solving
Multistep
Equations
with
Like
Terms
8y
+
2
–
3y
=
17
Solve:
=
10
Solve:
5x
–
5
7
=
10
=
70
5x
–
5
7
5x
–
5
7
5x
•
Follow
the
order
of
operations
in
reverse
when
solving
equations
with
more
than
one
operation
(multistep
equations).
•
Goals
of
solving
multistep
equations:
•
_________________________________________
_________________________________________
•
_________________________________________
_________________________________________
•
Place
the
variables
on
the
same
side.
•
The
number
in
front
of
the
variable
must
be
equal
to
.
Solving
Two-Step
Equations
Using
Division
Solving
Equations
with
Variables
on
Both
Sides
Solving
Two-Step
Equations
Using
Multiplication
3
x
+
8
=
23
3
x
+
8
=
15
x
=
5
–
8
–
8
5n
+
3
=
28
x
–
5
=
20
=
=
–
2
–
2
4
•
•
4
7
•
•
7
+
5
+
5
Subtract
3
from
both
sides
of
the
equation.
Multiply
both
sides
by
4.
Multiply
both
sides
by
7.
Divide
both
sides
of
the
equation
by
5.
Divide
both
sides
by
5.
1
4
=
25
x
1
4
=
n
=
=
x
=
y
x
=
x
100
5n
+
3
=
28
Solve:
x
–
5
=
20
Solve:
1
4
Add
5
to
both
sides.
8y
+
2
–
3y
=
17
5y
+
2
=
17
Combine
like
terms
(8y
–
3y).
Subtract
from
both
sides.
5y
+
2
=
15
Divide
both
sides
by
5.
5y
=
5x
–
7
=
3x
+
5
2x
–
7
=
5
5x
–
7
=
3x
+
5
Solve:
2x
=
Add
7
to
both
sides.
2x
=
Subtract
3x
from
both
sides.
Divide
both
sides
by
2.
Key
Vocabulary
Terms
•
equation
•
inverse
operation
•
multistep
equation
•
operation
•
order
of
operations
•
variable
•
Two
inverse
operations
are
needed
to
solve
the
equation
above
–
subtra
ction
&
.
.
=
© Copyright NewPath Learning. All Rights Reserved. 93-4701
www.newpathlearning.com
Multistep
Equations
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