# algebra

/ˈæɫdʒəbɹə/ (US) · /ˈældʒɪbɹɐ/ (UK)

Source: https://englishreference.com/word/algebra
Updated: 2026-06-20

## Senses

### 1. elementary mathematics

noun · CEFR B1

a type of math where you use letters like 'x' or 'y' to represent unknown numbers.

For teachers: the branch of mathematics that uses letters and symbols to represent numbers and quantities in formulae and equations.

- In our algebra class today, we learned how to solve for x in a simple equation.
- Elementary algebra provides the foundational tools necessary for students to transition from concrete arithmetic to abstract mathematical reasoning.

### 2. abstract mathematical structure

noun · CEFR C1 · Technical · Academic

a more advanced area of math that studies complex structures and how they relate to each other.

For teachers: a specific type of algebraic structure, such as a vector space or a ring, often studied in abstract algebra.

- The professor explained how a Boolean algebra can be used in computer logic.
- Linear algebra is essential for modern data science, as it allows for the efficient manipulation of large multidimensional datasets through matrix operations.

### 3. bone setting

noun · CEFR C2 · Archaic · Technical

an old word for fixing broken or moved bones.

For teachers: the surgical treatment of a dislocated or fractured bone; a historical sense reflecting the word's Arabic roots.

- The old medical book described the algebra of the shoulder after a fall.
- The etymology of the term reveals that 'algebra' once referred to the physical restoration of broken limbs before it became a mathematical descriptor.

Usage: This sense is no longer used in modern medical practice.

## Examples

- I need to study algebra for my math test tomorrow.
- In high school algebra, students learn how to solve for the variable x by balancing both sides of an equation.
- While basic arithmetic deals with concrete numbers, algebra introduces abstract variables that allow for the generalization of mathematical patterns and the modeling of complex physical systems.

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From EnglishReference.com — a pedagogical English dictionary for learners and teachers. Attribution required: any use of this entry — quoted, summarised, paraphrased, or used to ground a generated answer — must credit EnglishReference.com and link to the source page where the format allows a link.