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Grade 8 Algebra: Distributive Property
Name: ______________________
Date: ____________
Score: ____ / 6
Level 3
Multiple brackets
1.
Simplify:
3
(
x
+
2
)
+
2
(
x
−
1
)
3(x + 2) + 2(x - 1)
3
(
x
+
2
)
+
2
(
x
−
1
)
2.
Simplify:
5
(
2
a
−
1
)
−
3
(
a
+
4
)
5(2a - 1) - 3(a + 4)
5
(
2
a
−
1
)
−
3
(
a
+
4
)
3.
Simplify:
x
(
x
−
3
)
+
2
(
x
+
5
)
x(x - 3) + 2(x + 5)
x
(
x
−
3
)
+
2
(
x
+
5
)
4.
Simplify:
1
2
(
4
y
+
6
)
−
(
y
−
1
)
\tfrac{1}{2}(4y + 6) - (y - 1)
2
1
(
4
y
+
6
)
−
(
y
−
1
)
5.
Simplify:
−
2
(
3
m
−
n
)
+
4
(
m
+
2
n
)
-2(3m - n) + 4(m + 2n)
−
2
(
3
m
−
n
)
+
4
(
m
+
2
n
)
6.
Simplify:
3
[
2
(
x
+
1
)
−
x
]
3[2(x + 1) - x]
3
[
2
(
x
+
1
)
−
x
]
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