# Elementary Algebra Revised

American book Company, 1913 - Algebra - 447 pages
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### Contents

 CHAPTER 9 Introduction Symbols Negative Numbers 10 Addition Parentheses 22 Subtraction Review 32 Multiplication 38 Division Review 52 The Linear Equation The Problem 64 The Use of Formulas 87
 CHAPTER PAGE 176 64 184 Graphical Representation of Linear Equations 197 68 199 Involution and Evolution 205 Theory of Exponents 221 85 225 Radicals Imaginary Numbers Review 236

 Factoring 99 38 105 43 115 Changes in the Form of a Fraction 123 Fractional and Literal Linear Equations Problems 147 50 148 54 154 Applications of General Symbols Review 161 55 163 Simultaneous Linear Equations Problems 173
 87 244 Quadratic Equations 266 The Quadratic Form Higher Equations Irrational Equa 286 Simultaneous Quadratic Equations Problems 294 Ratio Proportion Variation 315 Logarithms 352 The Binomial Theorem Positive Integral Exponent 358 Supplementary Exercises 385 Copyright

### Popular passages

Page 57 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 9 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Page 375 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 337 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.
Page 320 - If the product of two numbers is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Given ad = be. (1) To Prove - = -. bd Proof. Dividing both members of (1) by bd, ad_bc_ �_� bd~bd' b~d' In like manner, we may prove - = - ; - = - ; etc.
Page 375 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 158 - At what time between 4 and 5 o'clock are the hands of a clock exactly opposite each other ? 7.
Page 323 - In any proportion, the product of the means equals the product of the extremes.
Page 89 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, 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 369 - The foregoing method is based on the assumption that the differences of logarithms are proportional to the differences of their corresponding numbers, which, though not strictly accurate, is sufficiently exact for practical purposes.