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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

6. Surface Areas of Pyramids

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Exercise 7 Page 323

Use the Distributive Property to fully expand the expression, then try factoring out some other number to find the equivalent expression.

A

Practice makes perfect

We want to find an expression that is equivalent to the given one. Let's start by using the Distributive Property to expand the given expression.

12(n+1)

Distribute 12

12(n)+12(1)

Multiply

12n+12

There is no answer like this one. Notice that both terms in the expanded expression are even. Let’s try factoring out 2 from each term.

12n+12

Rewrite 12 as 2* 6

2*6n+2* 6

Factor out 2

2(6n+6)

We found that 12(n+1) is equivalent to 2(6n+6). This corresponds to option A.

Subchapter links

Try It p.320-321

Self-Assessment for Concepts & Skills p.321

Self-Assessment for Problem Solving p.322

Review & Refresh p.323

Concepts, Skills, & Problem Solving p.323-324