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Chapter 2: Q51. (page 80)

Use the distributive property to write an equivalent variable expression.

(8w+9)(鈭�3)

Short Answer

Expert verified

The equivalent variable expression is 鈭�24w鈭�27.

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(8w+9)(鈭�3), distribute 鈥� 3 to both the terms inside the parenthesis and simplify further by multiplying the numbers as shown below

(8w+9)(鈭�3)=(8w)鈰�(鈭�3)+(9)鈰�(鈭�3)=鈭�24w鈭�27.

Thus, the equivalent variable expression for the given expression is鈭�24w鈭�27.

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Most popular questions from this chapter

Evaluate the expression using the distributive property and mental math.

6鈥�鈥�(103)

Use the distributive property to evaluate the expression.

6鈥�鈥�(鈥�鈥�-鈥�鈥�2.3鈥�鈥�+鈥�鈥�3.8鈥�鈥�)

Use the distributive property to write an equivalent variable expression.

-4鈥�(2n-7)

Which property allows you to write?

4鈥�+鈥�(3鈥�+9鈥�)鈥�鈥�=鈥�鈥�(4鈥�+3)+9

For the given expression,identify the terms, like terms, coefficients, and constant terms. Then simplify the expression.

3x+2+5x
See all solutions

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