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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 42 Page 114

Rewrite each term as a product of - 1.75 and some other factor.

- 1.75(8m+3n)

Practice makes perfect
Let's rewrite each term as a product of - 1.75 and some other factor. To do so, note that that product of two negative numbers gives a positive number. 1{ \text{-} 14m &= {\color{#FD9000}{\text{-} 1.75}} \cdot 8m \\[0.5em] 5.25n &= {\color{#FD9000}{\text{-} 1.75}} \cdot (\text{-} 3n) } Now we can use the Distributive Property to factor the expression. Let's go!
- 14m-5.25n
SplitIntoFactors

Split into factors

- 1.75 * 8m -(- 1.75) * (- 3n)
FactorOut

Factor out - 1.75

- 1.75[8m-(- 3n)]
SubNeg

a-(- b)=a+b

- 1.75(8m+3n)
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arrow_right Try It p.110-111
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arrow_right Self-Assessment for Concept & Skills p.111
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arrow_right Self-Assessment for Problem Solving p.112
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arrow_right Review & Refresh p.113
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