The Language of Algebra

In this post, we look at the Language of Algebra. Just like all languages, Mathematics comes with its own particular vocabulary and rules.

The Language of Algebra also includes its grammar (the principles that regulate the appropriate use of the language), syntax (that is that part of grammar that addresses the rules of correct word order), conventions, negations, synonyms, sentence structure, and abbreviations.

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During the computerized GED exam, test-takers will have to translate English words and phrases into algebraic expressions.

You can check your knowledge by taking the language of algebra quiz.

If you need to refresh your knowledge, check the following is a summary of how to translate words into symbols.

 

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Phrases that translate into sums

Phrases that are differences

Phrases that are products

Phrases that are differences

Combinations
There are also phrases that require combinations of multiple mathematical operations.

1. The phrase is shown
The difference of \(\; 20\; and \; 4\).
Which expression represents the phrase?
A.
B.
C.
D.

Question 1 of 2

2. The phrase is shown
three times the sum of \(\; n\; and\; 5\)
Which expression represents the phrase:

 
A.
B.
C.
D.

Question 2 of 2


 

Next lesson: Mean, median, and mode
This lesson is a part of our GED Math Study Guide

Last Updated on July 15, 2025.