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Which phrase represents the algebraic expression [tex]\frac{1}{4} d + 7[/tex]?

A. The product of one-fourth and a number, plus seven.
B. The product of seven and a number.
C. The product of one-fourth and seven, plus a number.
D. The product of seven and one-fourth.

Sagot :

GinnyAnsweridn
To determine which phrase represents the algebraic expression [tex]\(\frac{1}{4} d + 7\)[/tex], let's break down the components of the expression:

1. [tex]\(\frac{1}{4} d \)[/tex]: This part of the expression represents the product of one-fourth and a number [tex]\( d \)[/tex]. In other words, you are multiplying one-fourth (which is [tex]\( \frac{1}{4} \)[/tex]) by the variable [tex]\( d \)[/tex].

2. [tex]\( + 7 \)[/tex]: This part indicates that we are adding 7 to the product obtained in the first step.

Combining these observations, the expression [tex]\(\frac{1}{4} d + 7\)[/tex] represents:
- The product of one-fourth and a number (represented by [tex]\( d \)[/tex]), plus seven.

Thus, the phrase that correctly represents the expression [tex]\(\frac{1}{4} d + 7\)[/tex] is:
- The product of one-fourth and a number, plus seven.
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