Distributive Property 7th

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5 Minute Math

1.) (-154) / 11

2.) (-96) / (-3)

3.) 1124 / (-4)

4.) (-78)/ (-2) / (-3)

5.) 430 / (-5) / (-2)

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Distributive PropertyThe product of a and (b + c):a(b + c) = ab + ac(b + c)a = ba + ca

The product of a and (b - c)a(b - c) = ab - ac(b - c)a = ba - ca

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Examples:1.) 4(x + 2) = 4(x) + 4(2)

4x + 8

2.) (x + 1)9 = 9(x) + 9(1)9x + 9

3.) 4(x - 2) = 4(x) - 4(2) 4x - 8

4.) (x - 4)6 = (x)6 - (4)66x - 24

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1.) 4(a + 9)

2.) -6(12 + b)

3.) (c + 1)(5)

4.) 3(a - 8)

5.) 9(3 - b)

6.) (c - 12)(3)

Rewrite using the distributive property

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Rewrite using the distributive property

1.) -3(a + 3)

2.) (3 + b)(-6)

3.) -4(c - 7)

4.) (5 - d)(-2)

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Rewrite using the distributive property

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Combining like terms

Like terms: are terms that have the same variable raised to the same power

An expression is simplified if it has no grouping symbols and if all the like terms have been combined.

Example 1: 11d + 5 d= 16d

Example 2: 17s - 8 - 12s= 5s-8

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Try these:

1.) -15m + 5 + 20m

2.) 35y + 20y + 12

3.) 49n - 12a + 8n + 14a

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Homework:7 Green Practice workbook 2.7 p.27-28 # 2 -22 even