Algebra is a very important topic in mathematics. This topic is generally used for solving equations.

**Founders :**

The major development of this topic was done in the ninth century by Arab mathematicians. In particular Al-Khwarzmi's book entitled "compendium on a calculation by completing and balancing" was and significant event in the history of mathematics. So he is considered as the father of algebra.

In the sixth and seventh centuries, Indian mathematicians Aryabhatta and Brahmagupta have worked on the topics linear equations and quadratic equations and general method of solving.

In the 19th century British mathematicians took great effort on developing this topic. The Peacock was the founder of axiomatic thinking in arithmetic. He is called as Euclid of algebra.

Terms factors and coefficients

Identify parts of an expression

Multiply polynomial by a monomial

Multiplying binomials using FOIL method

Factoring polynomials using algebraic identities

Solve quadratic equations by factoring

Factoring trinomials in box method

Writing and solving one step inequalities

Solving one step equations word problems

Writing and solving two step inequalities

Solving two step equations with algebra tiles

Modeling and solving two step equations using algebra tiles

Solving equations using substitution

Solving equations using elimination

Solving equations using cross multiplication method

Solving equations in graphing method

Solving absolute value equations

Solving absolute value inequalities

Solving radical equations with radicals on both sides

Square roots of perfect square

Square roots of fractions and decimals

How to find square root of quadratic equation

How to find square root of polynomial

Simplifying rational expression

Framing quadratic equation from roots

Relationship between roots and coefficients

After having gone through the stuff given above, we hope that the students would have understood this topic

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**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**