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Chapter 2: Q. 46 (page 80)

Use the distributive property to write an equivalent variable expression. (Lesson 2.2)

7(p鈭�4)

Short Answer

Expert verified

The equivalent variable expression is7p鈭�28 .

Step by step solution

01

. 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

. Example of distributive property

To evaluate the expression3(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

. Rewrite the given expression using distributive property

To write an equivalent variable expression for the given expression7(p鈭�4), distribute 7 to both the terms inside the parenthesis and simplify further by multiplying the numbers as shown below

7(p鈭�4)=7鈰�p+7鈰�(鈭�4)=7p鈭�28.

Thus, the equivalent variable expression for the given expression is 7p鈭�28.

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Most popular questions from this chapter

Simplify the expression.10y鈭�3(6鈭�y)

Evaluate the expression using the distributive property and mental math.

-鈥�鈥�6鈥�鈥�(10.95鈥�)

What is the coefficient of y in the expression8鈭�3y+1

Use the distributive property to evaluate the expression.

(2+9)2

Perform the indicated operation.

-鈥�鈥�75鈥�鈥�梅鈥�鈥�-鈥�鈥�5
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