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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 4 Page 323

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

C

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.

3(4n+2)

Distribute 3

3(4n)+3(2)

Multiply

12n+6

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+6

Rewrite 12 as 2* 6

2*6n+6

Rewrite 6 as 2* 3

2* 6n+2* 3

Factor out 2

2(6n+3)

We found that 3(4n+2) is equivalent to 2(6n+3). This corresponds to option C.

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