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Chapter 2: Q45. (page 80)

Use the distributive property to write an equivalent variable expression. (Lesson 2.2)鈭�2(x+3)

Short Answer

Expert verified

The equivalent variable expression is鈭�2x鈭�6 .

Step by step solution

01

Step-1 – Distributive property

For any real numbers a, b, and c, the distributive property is given by:

a(b+c)=a鈰�b+a鈰�c

02

Step-2 – Example of distributive property

To evaluate the expression 3(4+t), distribute 3 to both the terms inside the parenthesis and remove the parenthesis sign to get

3(4+t)=3鈰�4+3鈰�t=12+3t

03

 Step-3 – Rewrite the given expression using distributive property

To write an equivalent variable expression for the given expression,鈭�2(x+3) distribute 鈥� 2 to both the terms inside the parenthesis and simplify further by multiplying the numbers as shown below

鈭�2(x+3)=鈭�2鈰�x鈭�2鈰�3=鈭�2x鈭�6.

Thus, the equivalent variable expression for the given expression is鈭�2x鈭�6 .

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Most popular questions from this chapter

Use the distributive property to write an equivalent variable expression.

-鈥�2鈥�鈥�(6y-4)

Simplify the expression.

鈥夆赌�4(x+1)+2x+5

Perform the indicated operation.

-鈥�鈥�75鈥�鈥�梅鈥�鈥�-鈥�鈥�5

Use the distributive property to evaluate the expression.

-3鈥�鈥�(9-1+6)

Perform the indicated operation.

6鈥�(-7)
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