Chapter 2: Q. 12 (page 84)

Use the distributive property to write an equivalent variable expression.
$4 (9 p + 7)$

Short Answer

Expert verified

The equivalent variable expression is $36 p + 28$ .

Step by step solution

Step 1. Distributive property

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

$a (b + c) = a \cdot b + a \cdot c$

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

$\begin{matrix} 3 (4 + t) = 3 \cdot 4 + 3 \cdot t \\ = 12 + 3 t \end{matrix}$

Step 3. Rewrite the given expression using distributive property

To write an equivalent variable expression for the given expression $4 (9 p + 7)$ , distribute 4 to both the terms inside the parenthesis and simplify further by multiplying the numbers as shown below

$\begin{matrix} 4 (9 p + 7) = 4 \cdot (9 p) + 4 \cdot 7 \\ = (4 \cdot 9) p + 28 \\ = 36 p + 28 \end{matrix}$

Thus, the equivalent variable expression for the given expression is $36 p + 28$ .

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Use the distributive property to write an equivalent variable expression.
$4 (9 p + 7)$

Short Answer

Step by step solution

Step 1. Distributive property

Step 2. Example of distributive property

Step 3. Rewrite the given expression using distributive property

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Use the distributive property to write an equivalent variable expression. 49p+7

Short Answer

Step by step solution

Step 1. Distributive property

Step 2. Example of distributive property

Step 3. Rewrite the given expression using distributive property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Use the distributive property to write an equivalent variable expression.
$4 (9 p + 7)$