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Algebra

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Mathematics: Different Types of Numbers
Mathematics: Different Types of Numbers 150 150 SchoolTutoring Academy

There are many types of numbers, arranged in sets such as Natural numbers, Whole numbers, Integers, Rational numbers, Irrational numbers etc. Natural numbers: The set of natural numbers is denoted…

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SchoolTutoring Academy Reviews: Operations on Inequalities
SchoolTutoring Academy Reviews: Operations on Inequalities 150 150 SchoolTutoring Academy

Inequalities are used to compare any two statements. Inequality: An inequality is a mathematical statement in which two real numbers or two expressions are connected by <,>, ≤ or ≥.…

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Factoring: Least Common Multiple
Factoring: Least Common Multiple 150 150 SchoolTutoring Academy

The LCM of two numbers x and y is the least number among all the common multiples of x and y. Example: Find the LCM of 6 and 9.  …

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3D Spaces: Addition and Subtraction in Cubic Areas
3D Spaces: Addition and Subtraction in Cubic Areas 150 150 SchoolTutoring Academy

Sum of cubes: We can factorize an expression involving sum of cubes using the following formula. a3 + b3 = (a+b) (a2 – ab + b2) Example 1: Factorize the…

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Formulas for the Equation of a Line
Formulas for the Equation of a Line 150 150 SchoolTutoring Academy

Equation of a line: An equation is called the equation of a straight line if each point on the line satisfies that equation and no other point on the plane…

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Understanding Matrices in Math
Understanding Matrices in Math 150 150 SchoolTutoring Academy

  Matrix:  A matrix is a rectangular arrangement of “mn” elements with ‘m’ rows and ‘n’ columns enclosed within brackets. Here m x n is called the order of the…

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Calculus: Highest Common Factor
Calculus: Highest Common Factor 150 150 SchoolTutoring Academy

The Highest Common Factor (HCF) of two numbers x and y is the highest number among all the common factors of x and y.   Example: Find the HCF of…

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Geometric Relations: Rotational Symmetry
Geometric Relations: Rotational Symmetry 150 150 SchoolTutoring Academy

A shape with rotational symmetry looks the same after a certain amount of rotation. An object may have more than one rotational symmetry. The point around which the shape is…

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Geometric Relations: Reflection Symmetry
Geometric Relations: Reflection Symmetry 150 150 SchoolTutoring Academy

A shape is said to be symmetric if it is exactly like another if flipped, slid or turned. The line of symmetry divides the shape into symmetry. In two-dimensional shapes…

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Elementary Operations (Row/Column Operations) on Matrices
Elementary Operations (Row/Column Operations) on Matrices 150 150 SchoolTutoring Academy

Row operations: a)      Interchanging of two rows: We can interchange any two rows in a matrix. The interchanging of ith and jth rows is symbolically denoted by Ri ↔ Rj.…

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