# Algebra for Beginners

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An excellent book for practicing Algebra if the answers to all the problems are still in place. I used it to master Algebra back in school. Understand they are reprinting it now without answers which to me does not help.

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My wife's grandmother was a calculus teacher who had little good to say about modern math textbooks. When I asked her what she considered a good textbook she brought me a well worn copy of Hall and Knight she had used to learn algebra. It is old school but this is the kind of text that people who designed moon shots used to learn their algebra.

### Contents

 CHAP 2 SIMPLE BRACKETS ADDITION 11 MULTIPLICATION 21 DIVISION 31 VII 38 HIGHEST COMMON FACTOR OF COMPOUND EXPRESSIONS 40 VIII 44 XI 64
 INVOLUTION 89 MULTIPLICATION AND DIVISION OF FRACTIONS 124 MISCELLANEOUS FRACTIONS 139 XXIII 146 XXIV 153 QUADRATIC EQUATIONS 162 PROBLEMS LEADING TO QUADRATIC EQUATIONS 173 RESOLUTION INTO FACTORS CONVERSE USE OF FACTORS 186

### Popular passages

Page 160 - An equation which contains the square of the unknown quantity, but no higher power, is called a quadratic equation, or an equation of the second degree. If the equation contains both the square and the first power of the unknown, it is called...
Page 188 - Elementary Trigonometry" etc Edited mi*l Arranged for American Schools By CHARLOTTE ANGAS SCOTT, D.SC., Head of Math. Deft., Bryn Mauir College, Pa. 1 6mo. Cloth. 75 cents. " Evidently the work of a thoroughly good teacher. The elementary truth, that arithmetic is common sense, is the principle which pervades the whole book, and no process, however simple, is deemed unworthy of clear explanation. Where it seems advantageous, a rule is given after the explanation. . . . Mr. Lock's admirable Trigonometry...
Page 105 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Page 89 - The product is a2+2a6-}-62; from which it appears, that the square of the sum of two quantities, is equal to the square of the first plus twice the product of the first by the second, plus the square of the second.
Page 87 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Page 89 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second.