# First Year Algebra

American book Company, 1911
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### Contents

 Algebraic Solutions 12 Factors Powers and Polynomials 19 FUNDAMENTAL OPERATIONS Positive Numbers 25 POSITIVE AND NEGATIVE NUMBERS 49 Multiplication 58 Division 68 Simultaneous Equations 74 Special Cases in Division 84
 SIMULTANEOUS SIMPLE EQUATIONS 168 GRAPHIC SOLUTIONS 182 INVOLUTION 197 EVOLUTION 203 RADICALS 213 QUADRATIC EQUATIONS 237 GRAPHIC SOLUTIONS 256 SIMULTANEOUS QUADRATIC EQUATIONS 264

 Equations and Problems 92 FACTORING 101 FRACTIONS 113 Signs in Fractions 125 Addition and Subtraction of Fractions 135 Division of Fractions 141 SIMPLE EQUATIONS 153
 GRAPHIC SOLUTIONS 275 RATIO AND PROPORTION 284 GENERAL REVIEW 295 FACTORS AND MULTIPLES 305 SUPPLEMENTARY EXERCISES 311 GLOSSARY 0 343 Copyright

### Popular passages

Page 208 - Multiply the complete divisor by this term of the root, and subtract the product from the first remainder.
Page 37 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 68 - Th,e square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second, plus the square of the second.
Page 286 - The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the • proportion a : b = с : d, a and d are the extremes, and b and с the means.
Page 287 - ... a mean proportional between two numbers is equal to the square root of their product.
Page 211 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 129 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 290 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 237 - An equation that, when simplified, contains the square of the unknown number, but no higher power, is called an equation of the second degree, or a quadratic equation.
Page 211 - Find the greatest square in the hfi-hand period and write its root for the first figure of the required root. Square this root, subtract the result from the left-hand period, and annex to the remainder the next period for a new dividend.