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# The Distributive Property (Grade 7)

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## The Distributive Property

1.
Which of the following is an example of the distributive property?
1. 10 x 1 = 10
2. 3(4 + 2) = 3(4) + 3(2)
3. 8 + 7 = 7 + 8
4. 2 x 0 = 0

2.
Which of the following is an example of the distributive property?
1. 98 x 1= 98
2. 3 + 92 = 95
3. 72 + 51 = 51 + 72
4. 6 (16 + 4) = (6 x 16) + (6 x 4)
3.
5(2 - j) + (2j - 3)
1. 10 - 3j
2. 7 - 3j
3. 7 + 3j
4. 10 + 3j

4.
5 + 6(m + 1)
1. 6m + 11
2. 6m + 6
3. 11m + 11
4. 11m + 1
5.
-4(a + 3)
1. -4a + 12
2. -4a - 12
3. 4a - 12
4. none of the above

6.
Expand the expression.
(-8)(-8 - d)
1. -64 - 8d
2. -64 + 8d
3. 64 - 8d
4. 64 + 8d
7.
Find the equivalent of $p (q-r).$
1. $(p)(q) - (r)$
2. $(pq)(-r)$
3. $(p)(q)(r)$
4. $(p)(q) - (p)(r)$

8.
Simplify the expression (show all your work): $(2r-4)2$

9.
Simplify the expression (show all your work): $2(7-s)$

10.
Simplify the expression (show all your work): $3(r+4)$

11.
Simplify:
$-3(x+2y)+x+y$

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