ALGEBRA
About "Algebra"
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.
Topics of Polynomials
Terms factors and coefficients
Identify parts of an expression
Multiply polynomial by a monomial
Multiplying binomials using FOIL method
Algebraic identities
Factorization
Factoring polynomials using algebraic identities
Solve quadratic equations by factoring
Factoring trinomials in box method
Solving Equations
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
Square roots and squares
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
Other topics
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
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
Trigonometry 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
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