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Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
4. The Distributive Property
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Exercise 48 Page 226

Recall the Distributive Property.

7x+12y

Practice makes perfect

We want to simplify the given expression. To do it, we will use the Distributive Property. We will distribute 3 to the terms inside the parentheses.

4x+9y+3(x+y)
Distr

Distribute 3

4x+9y+3(x)+3(y)
MultFrac

Multiply fractions

4x+9y+3(x)+3(y)
Multiply

Multiply

4x+9y+3x+3y
CommutativePropAdd

Commutative Property of Addition

4x+3x+9y+3y
FactorOut

Factor out x

(4+3)x+9y+3y
FactorOut

Factor out y

(4+3)x+(9+3)y
AddTerms

Add terms

7x+12y

Since 7x and 12y are not like terms, the expression cannot be simplified further.

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arrow_right Try It p.222-223
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Try It 2 (Page 222)
Try It 3 (Page 222)
Try It 4 (Page 222)
Try It 5 (Page 223)
Try It 6 (Page 223)
arrow_right Self-Assessment for Concepts & Skills p.223
Self-Assessment for Concepts & Skills 7 (Page 223)
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arrow_right Self-Assessment for Problem Solving p.224
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arrow_right Review & Refresh p.225
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arrow_right Concepts, Skills, & Problem Solving p.225-226
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