# Algebra: A Complete Introduction by Hugh Neill

By Hugh Neill

Algebra: a whole Introduction is the main complete but easy-to-use creation to utilizing Algebra.

Written through a number one specialist, this publication may also help you when you are learning for an enormous examination or essay, or should you easily are looking to enhance your knowledge.

The publication covers all of the key parts of algebra together with effortless operations, linear equations, formulae, simultaneous equations, quadratic equations, logarithms, edition, legislation and sequences.

Everything you will want is right here during this one booklet. each one bankruptcy comprises not just an evidence of the data and talents you wish, but additionally labored examples and try questions.

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Extra resources for Algebra: A Complete Introduction

Example text

In general, if an expression is the product of a number of factors, any one of them can be regarded as the coefficient of the product of the others, when for any purpose we regard this product as a separate number. Thus in 3ab, In an expression, terms which involve the same letter, and differ only in the coefficients of this letter, are called like terms. Thus in the expression: 3a and 2a are like terms and 5b and 4b are like terms. 6 Addition and subtraction of like terms In arithmetic you learn that the sum of or Similarly or The same is true for any number, as for example In algebra, if you were to let a represent 12 in the statement (A) above, you could write: and for the other cases: These last three cases are generalized forms of the preceding examples, but it must be noted that, whereas in the arithmetical forms you can proceed to calculate the actual value of the sum in each, in the algebraical forms you can proceed no further in the evaluation until a definite numerical value is assigned to a.

For the rest of this chapter, in order to make the meaning clear, positive and negative numbers, when being used in operations, will be placed in brackets. Thus (−6) ÷ (+2) = (−3). 4 Negative numbers Corresponding to every positive number there is a negative number, and you can write a sequence of negative numbers corresponding to positive numbers. Thus if you write down the numbers beginning, for example, with +6, and decreasing by one at each step, you get the sequence of numbers +6, +5, +4, +3, +2, +1, 0.

Represents a sequence of decreasing odd numbers. Note: The succession of ‘dots’ after the sets of odd and even numbers indicates that you could write down more such numbers if it were necessary. 2 Substitution In the algebraic representation of a set of odd numbers – namely since n represents any integer, you could, by assigning some particular value to n, obtain the corresponding odd number. 3 Examples of generalizing patterns There are many situations which you can describe by using an algebraic expression or formula.