Question

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

6 is added to the product of 7 and a number.

Answer 1

6 +7x

Explanation:

To write an English expression as an algebraic one, you must first understand what the English is telling you. Then the translation is straightforward.

Algebraic representation

A plus sign (+) signifies addition. Multiplication is signified several different ways. The simplest is writing the factors next to each other.

Parsing the English

The objects involved in the addition are 6 and a product:

6 + product

The product is said to consist of two factors: 7 and "a number". The instructions say to use "x" for "a number", so the product can be written ...

7x

Algebraic expression

Then the complete algebraic expression is ...

6 +7x