Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
4. Factorizing Expressions
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Exercise 3 Page 113

Distribute the factor to the terms inside the parentheses.

1/2g + 1 12

Practice makes perfect
We want to simplify the given expression. To do it, we will use the Distributive Property. We will distribute - 14 to the terms inside the parentheses.
- 1/4 (3g-6-5g)
- 1/4 * 3g -(- 1/4 )6 -(- 1/4 )5g
- 1/4 * 3g -( - 1/4 )6 -(- 1/4 )5g
- 1 * 3g/4 - - 1 * 6/4 -- 1 * 5g/4
- 3g/4 - - 6/4 -- 5g/4
-3g/4 - (- 6/4 ) -(- 5g/4 )
-3g/4 + 6/4 + 5g/4
The next in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined. -3g/4 + 6/4 + 5g/4 In this case, we have two g-terms and one constant. Only the g-terms can be combined, so to simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.
-3g/4 + 6/4 + 5g/4
5g/4 - 3g/4 + 6/4
5g - 3g/4 + 6/4
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Subtract term
(5-3)g/4 + 6/4
2g/4 + 6/4
2g/2/4/2 + 6/2/4/2
g/2 + 3/2
1/2g + 3/2
1/2g + 1 12