An Algebra for High Schools and Academies

Butler, Sheldon, 1902 - Algebra - 445 pages
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A great book ...... Helped me alot....

Contents

 Numerical Values 11 Mathematical Forms of Expression 25 Subtraction 37 Multiplication 45 Laws for Division 53 Synopsis for Review 66 Solution of Linear Equations with One Unknown Quantity 72 Symmetry 104
 888855 262 CHAPTER XII 264 CHAPTER XIII 279 CHAPTER XIV 296 45 301 Division 303 CHAPTER XV 311 Exercises in Indices and Radicals 319

 Equations solved by Factoring 130 Common Multiples 141 Reduction 148 Addition and Subtraction 154 Division 166 Simplification of Complex Fractions 175 CHAPTER VII 185 CHAPTER VIII 194 Variation 207 CHAPTER IX 215 SYSTEMS OF LINEAR EQUATIONS 226 Systems of Fractional Equations 242 Three or More Unknown Quantities 249 CHAPTER XI 256
 46 321 EQUATIONS INVOLVING RADICALS 323 Discussion of Roots 336 Higher Equations solved as Quadratics 345 Simultaneous Quadratic Equations 354 CHAPTER XVIII 375 CHAPTER XIX 383 33333 389 CHAPTER XX 394 CHAPTER XXII 407 CHAPTER XXIII 418 CHAPTER XXIV 428 Fourth and Higher Orders 442 Copyright

Popular passages

Page 85 - That is, 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 85 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 149 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 246 - In a number of two digits the units' digit exceeds the tens' digit by 4, and when the number is divided by the sum of its digits the quotient is 4.
Page 86 - The product of the sum and difference of two quantities is equal to the difference of their squares.
Page 374 - B's journey in 15\$ days, but B would have been 28 days in performing A's journey. What was the distance between C and D ? Ans.
Page 372 - A farmer bought some sheep for £72, and found that if he had received 6 more for the same money, he would have paid £1 less for each. How many sheep did he buy ? 13. A and B distribute £60 each among a certain number of persons : A relieves 40 persons more than B does, and B gives to each 5*.
Page 382 - There are three numbers in geometrical progression, the sum of the first and second of which is 9, and the sum of the first and third is 15.
Page 384 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 161 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.