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They are as follows: Commutative Rule of Addition, Commutative Rule of Multiplication, Associative Rule of Addition, Associative Rule of Multiplication, Distributive Rule of Multiplication.
What is Considered Algebra 1? Algebra 1 consists of the general concepts of algebra. It introduces evaluating equations and inequalities, real numbers, and their properties, which include additive and multiplicative identities, inverse operations, and the distributive and commutative properties.
In abstract algebra, the elements combined to perform mathematical operations are not interpretable as numbers, hence its abstract nature. The elements of abstract algebra operate as an abstraction of the algebraic properties common to different number systems and other objects of mathematical study.
Algebra is often seen as one of the hardest courses in mathematics. For many students, the introduction of variables, equations, and functions tends to be confusing and overwhelming. As students go from pre-algebra to algebra in middle school and high school, the topics become more complicated.
Muhammad ibn Musa al-Khwarizmi was a 9th-century Muslim mathematician and astronomer. He is known as the father of algebra, a word derived from the title of his book, Kitab al-Jabr. His pioneering work offered practical answers for land distribution, rules on inheritance and distributing salaries.
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Algebra is often described as the generalization of arithmetic. The systematic use of variables, letters used to represent numbers, allows us to communicate and solve a wide variety of real-world problems. For this reason, we begin by reviewing real numbers and their operations.

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