What Do You Know About Writing Algebraic Expressions Introduction?

Explanation
Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols. It involves solving equations, working with variables, and studying the properties of mathematical operations. Algebra is an essential part of mathematics and is used in various fields such as science, engineering, economics, and computer science. Therefore, the correct answer is Mathematics.

Explanation
The word "algebra" comes from an Arabic word. Algebra originated from the Arabic term "al-jabr," which means "reunion of broken parts." The concept of algebra was developed and advanced by Arab mathematicians during the Islamic Golden Age, particularly by mathematicians like Al-Khwarizmi. Their contributions to algebra greatly influenced the development of mathematics in Europe and other parts of the world.

Explanation
The word entered the English language during the 15th century. This is because the English language went through a significant transformation during this time, known as the Middle English period. During this period, many words from French and Latin were introduced into the English vocabulary, leading to the expansion and enrichment of the language. Therefore, it is likely that the word in question originated or was adopted into English during the 15th century.

Explanation
The Babylonians developed an advanced arithmetical system that laid the foundation for algebra. They were known for their mathematical achievements, including the development of a number system based on the concept of place value and the use of symbols to represent unknown quantities. Their contributions to mathematics greatly influenced later civilizations, including the Greeks, who further developed algebraic concepts. Therefore, the Babylonians can be considered as the originators of algebra.

Explanation
The Greeks created a geometric algebra where terms were represented by sides of geometric objects, usually lines, that had letters associated with them. This algebraic system allowed them to solve mathematical problems and express relationships between geometric figures using symbols and equations.

Explanation
Pythagoras is the correct answer because he was indeed a famous mathematician. He is best known for his contributions to geometry, particularly the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras also founded a philosophical and religious school, known as the Pythagoreanism, which had a significant influence on the development of mathematics and Western philosophy.

Explanation
Omar Khayyam is credited with identifying the foundations of algebraic geometry. He was a Persian mathematician who made significant contributions to mathematics, including the development of algebraic methods in geometry. His work laid the groundwork for the field of algebraic geometry, which involves the study of geometric objects defined by polynomial equations. Khayyam's contributions to mathematics were highly influential and helped shape the development of algebraic geometry as a branch of mathematics.

Explanation
Omar Khayyam is credited with identifying the foundations of algebraic geometry, which involves studying the geometric properties of solutions to algebraic equations. One of his significant contributions was finding the general geometric solution for cubic equations. This means that he discovered a method to represent the solutions of cubic equations geometrically, allowing for a visual understanding of their properties. By solving cubic equations, Khayyam made important advancements in both algebra and geometry.

Explanation
The statement suggests that before a certain time period, mathematics was divided into only two subfields. The answer "16th century" indicates that it was during this century that mathematics started to branch out into more subfields, beyond just two. This implies that significant developments and advancements in mathematics occurred during the 16th century, leading to the expansion of the subject into various specialized areas.

Explanation
Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols. It is a fundamental topic in mathematics and is taught as a separate subject in most educational systems. Therefore, the correct answer is Mathematics.