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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Solving Multi-Step Equations
Solve each equation.
1)
4
n
− 2
n
= 4 2) −12 =
2 + 5
v
+ 2
v
3) 3 =
x
+ 3 − 5
x
4)
x
+ 3 − 3 = −6
5) −12 =
3 − 2
k
− 3
k
6) −1 =
−3
r
+ 2
r
7) 6 =
−3
(
x
+ 2
)
8)
−3
(
4
r
− 8
)
= −36
9) 24 =
6
(
−
x
− 3
)
10) 75 =
3
(
−6
n
− 5
)
-1-
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Worksheet by Kuta Software LLC
11)
−3
(
1 + 6
r
)
=
14 −
r
12)
6
(
6
v
+ 6
)
− 5 =
1 +
6
v
13)
−4
k
+
2
(
5
k
− 6
)
=
−3
k
− 39 14)
−16 +
5
n
=
−7
(
−6 + 8
n
)
+ 3
15)
10
p
+ 9 − 11 −
p
=
−2
(
2
p
+ 4
)
−
3
(
2
p
− 2
)
16)
−10
n
+
3
(
8 + 8
n
)
=
−6
(
n
− 4
)
17)
10
(
x
+ 3
)
−
(
−9
x
− 4
)
=
x
− 5 + 3 18)
12
(
2
k
+ 11
)
=
12
(
2
k
+ 12
)
19)
−12
(
x
− 12
)
=
−9
(
1 + 7
x
)
20)
−11 +
10
(
p
+ 10
)
=
4 −
5
(
2
p
+ 11
)
Critical thinking question:
21) Explain two ways you could solve 20 =
5
(
−3 +
x
)
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Solving Multi-Step Equations
Solve each equation.
1)
4
n
− 2
n
= 4
{
2
}
2) −12 =
2 + 5
v
+ 2
v
{
−2
}
3) 3 =
x
+ 3 − 5
x
{
0
}
4)
x
+ 3 − 3 = −6
{
−6
}
5) −12 =
3 − 2
k
− 3
k
{
3
}
6) −1 =
−3
r
+ 2
r
{
1
}
7) 6 =
−3
(
x
+ 2
)
{
−4
}
8)
−3
(
4
r
− 8
)
= −36
{
5
}
9) 24 =
6
(
−
x
− 3
)
{
−7
}
10) 75 =
3
(
−6
n
− 5
)
{
−5
}
-1-
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Worksheet by Kuta Software LLC
11)
−3
(
1 + 6
r
)
=
14 −
r
{
−1
}
12)
6
(
6
v
+ 6
)
− 5 =
1 +
6
v
{
−1
}
13)
−4
k
+
2
(
5
k
− 6
)
=
−3
k
− 39
{
−3
}
14)
−16 +
5
n
=
−7
(
−6 + 8
n
)
+ 3
{
1
}
15)
10
p
+ 9 − 11 −
p
=
−2
(
2
p
+ 4
)
−
3
(
2
p
− 2
)
{
0
}
16)
−10
n
+
3
(
8 + 8
n
)
=
−6
(
n
− 4
)
{
0
}
17)
10
(
x
+ 3
)
−
(
−9
x
− 4
)
=
x
− 5 + 3
{
−2
}
18)
12
(
2
k
+ 11
)
=
12
(
2
k
+ 12
)
No solution.
19)
−12
(
x
− 12
)
=
−9
(
1 + 7
x
)
{
−3
}
20)
−11 +
10
(
p
+ 10
)
=
4 −
5
(
2
p
+ 11
)
{
−7
}
Critical thinking question:
21) Explain two ways you could solve 20 =
5
(
−3 +
x
)
(1) Divide by 5 first, or (2) Distribute the 5 first.
-2-
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