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.

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)

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.

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

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