Algebra 1 homework help

Algebra 1 homework help

Our homework help site is affordable for most international students, delivers assignments of high academic quality, and always meets your most urgent deadlines. Too good to be true? Well, we call this - the golden middle principle and it is our ground rule. This makes our service unique and extremely attractive for most international students Get Online Algebra 1 help from blogger.com The exact online tutoring and homework help you need for Algebra 1. Highly targeted instruction and practice Algebra (from Arabic: الجبر ‎, romanized: al-jabr, lit. 'reunion of broken parts, bonesetting ') is one of the broad areas of mathematics, together with number theory, geometry and blogger.com its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics

Holt McDougal Algebra 1 - Homework Help - blogger.com - Larson, et al. -

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; [3] it is a unifying thread of almost all of mathematics. The more basic parts of algebra 1 homework help are called elementary algebra ; the more abstract parts are called abstract algebra or modern algebra.

Elementary algebra 1 homework help is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics.

Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians. Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.

Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words. The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an "algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.

In his work, the term al-jabr referred to the operation of moving a term from one side of an equation to the other, المقابلة al-muqābala "balancing" referred to adding equal terms to both sides. Shortened to just algeber or algebra in Latin, the word eventually entered the English language during the 15th century, from either Spanish, Italian, or Medieval Latin. It originally referred to the surgical procedure of setting broken or dislocated bones.

The mathematical meaning was first recorded in English in the 16th century. The word "algebra" has several related meanings in mathematics, as a single word or with qualifiers. Algebra began with computations similar to those of arithmeticwith letters standing for numbers. For example, in the quadratic equation. That is to algebra 1 homework help, to find all the solutions of the equation. Historically, and in current teaching, the study of algebra starts with the solving of equations, such as the quadratic equation above.

Then more general questions, such as "does an equation have a solution? These questions led extending algebra to non-numerical objects, such as permutationsvectorsmatricesand polynomials.

The structural properties of these non-numerical objects were then abstracted into algebraic structures such as groupsringsand fields. Before the 16th century, mathematics was divided into only two subfields, algebra 1 homework help, arithmetic and geometry.

Even though some methods, which had been developed much earlier, may be considered nowadays as algebra, the emergence of algebra algebra 1 homework help, soon thereafter, of infinitesimal calculus as subfields of mathematics only dates from the 16th or 17th century.

From the second half of the 19th century on, many new fields of mathematics appeared, algebra 1 homework help, most of which made use of both arithmetic and geometry, and almost all of which used algebra. Today, algebra has grown until it includes many branches of mathematics, as can be seen in the Mathematics Subject Classification [8] where none of the first level areas two digit entries is called algebra, algebra 1 homework help.

Today algebra includes section General algebraic systems, Field theory and polynomialsCommutative algebraLinear and multilinear algebra ; matrix theoryAssociative rings and algebrasNonassociative rings and algebrasCategory theory ; homological algebraK-theory and Group theory.

Algebra is also used extensively in Number theory and Algebraic geometry. The roots of algebra can be traced to algebra 1 homework help ancient Babylonians[9] who developed an advanced arithmetical system with which they were able to do calculations in an algorithmic fashion. The Babylonians developed formulas to calculate solutions for problems typically solved today by using linear equationsalgebra 1 homework help, quadratic equationsand indeterminate linear equations.

By contrast, most Egyptians of this era, as well as Greek and Chinese mathematics in the 1st millennium BC, usually solved such equations by geometric methods, such as those described in the Rhind Mathematical Papyrusalgebra 1 homework help, Euclid's Elementsand The Algebra 1 homework help Chapters on the Mathematical Art.

The geometric work of the Greeks, typified in the Elementsprovided the framework for generalizing formulae beyond the solution of particular problems into more general systems of stating and solving equations, although this would not be realized until mathematics developed in medieval Islam.

By the time of PlatoGreek mathematics had undergone a drastic change. The Greeks created a geometric algebra where terms were represented by sides of geometric objects, algebra 1 homework help, usually lines, that had letters associated with them. These texts deal with solving algebraic equations[11] and have led, in number theoryto the modern notion of Diophantine equation.

Earlier traditions discussed above had a direct influence on the Persian mathematician Muḥammad ibn Mūsā al-Khwārizmī c. He later wrote The Compendious Book on Calculation by Completion and Balancingwhich established algebra as a mathematical discipline that is independent of geometry and arithmetic, algebra 1 homework help.

The Hellenistic mathematicians Hero of Alexandria and Diophantus [13] as well as Indian mathematicians such as Brahmaguptacontinued the traditions of Egypt and Babylon, though Diophantus' Arithmetica and Brahmagupta's Brāhmasphuṭasiddhānta are on a higher level.

Although Diophantus and the Babylonians used mostly special ad hoc methods to solve equations, Al-Khwarizmi's contribution was fundamental. He solved linear algebra 1 homework help quadratic equations without algebraic symbolism, algebra 1 homework help, negative numbers or zerothus he had to distinguish several types of equations. In the context where algebra is identified with the theory of equationsthe Greek mathematician Diophantus has traditionally been known as the "father of algebra" and in the context where it is identified with rules for manipulating and solving equations, Persian mathematician al-Khwarizmi is regarded as "the father of algebra".

Those who support Diophantus point to the fact that the algebra found in Al-Jabr is slightly more elementary than the algebra 1 homework help found in Arithmetica and that Arithmetica is syncopated while Al-Jabr is fully rhetorical. He also studied an equation for its own sake and "in a generic manner, insofar as it does not simply emerge in the course of solving a problem, but is specifically called on to define an infinite class of problems".

Another Persian mathematician Omar Khayyam is credited with identifying the foundations of algebraic geometry and found the general geometric solution of the cubic equation. His book Treatise on Demonstrations of Problems of Algebrawhich laid down the principles of algebra, is part of the body of Persian mathematics that was eventually transmitted to Europe.

In the 13th century, the solution of a cubic equation by Fibonacci is representative of the beginning of algebra 1 homework help revival in European algebra. Abū al-Ḥasan ibn ʿAlī al-Qalaṣādī — took "the first steps toward the introduction of algebraic symbolism", algebra 1 homework help.

He also computed Σ n 2Σ n 3 and used the method of successive approximation to determine square roots. François Viète 's work on new algebra at the close of the 16th century was an important step towards modern algebra. InRené Descartes published La Géométrieinventing analytic geometry and introducing modern algebraic notation. Another key event in the further development of algebra was the general algebraic solution of the cubic and quartic equations, developed in the midth century.

The idea of a determinant was developed by Japanese mathematician Seki Kōwa in the 17th century, followed independently by Gottfried Leibniz ten years later, for the purpose of solving systems of simultaneous linear equations using matrices. Gabriel Cramer also did some work on matrices and determinants in the 18th century. Permutations were studied by Joseph-Louis Lagrange in his paper " Réflexions sur la résolution algébrique des équations " devoted to solutions of algebraic equations, in which he introduced Lagrange resolvents.

Paolo Ruffini was the first person to develop the theory of permutation groupsand like his predecessors, also in the context of solving algebraic equations.

Abstract algebra was developed in the 19th century, deriving from the interest in solving equations, initially focusing on what is now called Galois theoryand on constructibility issues, algebra 1 homework help.

Augustus De Morgan discovered relation algebra in his Syllabus of a Proposed System of Logic. Josiah Willard Gibbs developed an algebra of vectors in three-dimensional space, and Arthur Cayley developed an algebra of matrices this is a noncommutative algebra.

Some subareas of algebra have the word algebra in their name; linear algebra is one example. Others do not: group theoryring theoryalgebra 1 homework help, and field theory are examples. In this section, we list some areas of mathematics with the word "algebra" in the name.

Elementary algebra is the most basic form of algebra. It is taught to students who are presumed to have no knowledge of mathematics beyond the basic principles of arithmetic. In algebra, numbers are often represented by symbols called variables such as anxy or z. This is useful because:.

A polynomial is an expression that is the sum of a finite number of non-zero termseach term consisting of the product of a constant and a finite algebra 1 homework help of variables raised to whole number powers.

A polynomial expression is an expression that may be rewritten as a polynomial, by using commutativity, associativity and distributivity of addition and multiplication. A algebra 1 homework help function is a function that is defined by a polynomial, or, equivalently, by a polynomial expression. The two preceding examples define the same polynomial function. Two important and related problems in algebra are the factorization of polynomialsthat is, expressing a given polynomial as a product of other polynomials that cannot be factored any further, and the computation of polynomial greatest common divisors.

A related class of problems is finding algebraic expressions for the roots of a polynomial in a single variable. Abstract algebra extends the familiar concepts found in elementary algebra and arithmetic of numbers to more general concepts. Here are the listed fundamental concepts in abstract algebra. Sets : Rather than just considering the different types of numbersabstract algebra deals with the more general concept of sets : a collection of all objects called elements selected by property algebra 1 homework help for the set.

All collections of the familiar types of numbers are sets. Set theory is a branch of logic and not technically a branch of algebra, algebra 1 homework help. The notion of binary operation is meaningless without the set on which the operation is defined. Identity elements : The numbers zero and one are abstracted to give the notion of an identity element for an operation. Zero is the identity element for addition and one is the identity element for multiplication.

Not all sets and operator combinations have an identity element; for example, the set of positive natural numbers 1, 2, 3, has no identity element for addition. Inverse elements : The negative numbers give rise to the concept of inverse elements.

Associativity : Addition of integers has a property called associativity, algebra 1 homework help. That is, the grouping of the numbers to be added does not affect the sum. This property is shared by most binary operations, but not subtraction or division or octonion multiplication. Commutativity : Addition and multiplication of real numbers are both commutative. That is, the order of the numbers does not affect the result. This property does not hold for all binary operations.

For example, matrix multiplication and quaternion multiplication are both non-commutative. Combining the above concepts gives one of the most important structures in mathematics: a group. For example, the set of integers under the operation of addition is a group. The non-zero rational numbers form a group under multiplication. The integers under the multiplication operation, however, do not form a group. This is because, in general, algebra 1 homework help, the multiplicative inverse of an integer is not an integer.

The theory of groups is studied in group theory, algebra 1 homework help. A major result in this theory is the classification of finite simple groupsmostly published between about andwhich separates the finite simple groups into roughly 30 basic types. Semi-groupsquasi-groupsalgebra 1 homework help, and monoids structure similar to groups, but more general.

They comprise a set and a closed binary operation but do not necessarily satisfy the other conditions. A semi-group has an associative binary operation but might not have algebra 1 homework help identity element.

A monoid is a semi-group which does have an identity but might not have an inverse for every element. A quasi-group satisfies a requirement that any element can be turned into any other by either a unique left-multiplication or right-multiplication; however, the binary operation algebra 1 homework help not be associative.

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Holt McDougal Algebra 1 Homework Help from blogger.com Over online math lessons aligned to the Holt McDougal textbooks and featuring We would like to show you a description here but the site won’t allow blogger.com more Pre-Algebra, Algebra I, Algebra II, Geometry: homework help by free math tutors, solvers, blogger.com section has solvers (calculators), lessons, and a place where you can submit your problem to our free math tutors. To ask a question, go to a section to the right and select "Ask Free Tutors".Most sections have archives with hundreds of problems solved by the tutors