Pre-Algebra

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Math Fundamentals Properties of Zero and One
Math Fundamentals Properties of Zero and One 150 150 SchoolTutoring Academy

Zero (0) and one (1) are very special numbers. They possess the important properties given below: Addition property of zero Adding 0 to a number leaves its same. 0 is…

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Proportionality: Direct and Inverse
Proportionality: Direct and Inverse 150 150 SchoolTutoring Academy

Two quantities are said to be proportional if their ratio is constant. In other words, the two quantities are proportional if one of them is always the product of the…

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Composition of Functions
Composition of Functions 150 150 SchoolTutoring Academy

A function is a relation that assigns to each input value exactly one output value. A function can be defined as a rule that relates how one quantity depends on…

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Finding the Inverse of a Function
Finding the Inverse of a Function 150 150 SchoolTutoring Academy

Inverse of a function The word inverse comes from the word invert which means opposite, upside down. Let f and g be two functions such that function g is inverse…

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Introduction to Functions: Understanding Domain and Range
Introduction to Functions: Understanding Domain and Range 150 150 SchoolTutoring Academy

A function can be defined as a rule that relates how one quantity depends on other quantities. A function is a relationship between two variables. The first variable is called…

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Operations on Functions: Adding and Subtracting Functions
Operations on Functions: Adding and Subtracting Functions 150 150 SchoolTutoring Academy

A function is a relation that assigns to each input value exactly one output value. Like numbers and polynomials we can add, subtract, multiply and divide functions which results into…

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Factoring Quadratic Equation
Factoring Quadratic Equation 150 150 SchoolTutoring Academy

A quadratic equation is a one-variable polynomial equation of the second degree whose general form is: ax2 + bx + c = 0, where a, b and c are constants…

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Multiply and Divide Complex Numbers
Multiply and Divide Complex Numbers 150 150 SchoolTutoring Academy

Multiplication of Complex Numbers The product of complex numbers a + bi and c + di is given as: (a + bi) + (c + di) = (ac – bd)…

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Conjugate, Addition and Subtraction of Complex Numbers
Conjugate, Addition and Subtraction of Complex Numbers 150 150 SchoolTutoring Academy

Conjugate of complex number The conjugate of a complex number z = a + bi is: a – bi Example: Conjugate of 7 – 5i = 7 + 5i Addition…

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Algebraic Identities
Algebraic Identities 150 150 SchoolTutoring Academy

Solving algebraic problems get easy with readily available expressions. These expressions are knows as algebraic identities or rules which makes the job of a person easy, fast and reduces the…

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