Elementary Algebra for the Use of Preparatory Schools |
From inside the book
Results 1-5 of 52
Page vii
... Problems .... 101 VIII . Simultaneous Equations of the First Degree . Elimination by Addition and Subtraction .. Other Methods of Elimination ...... 109 110 114 Equations with Three Unknown Quantities .. 119 IX . Problems .... 122 ...
... Problems .... 101 VIII . Simultaneous Equations of the First Degree . Elimination by Addition and Subtraction .. Other Methods of Elimination ...... 109 110 114 Equations with Three Unknown Quantities .. 119 IX . Problems .... 122 ...
Page viii
... Problems ... Miscellaneous Examples IV . Miscellaneous Equations .. XX . Involution ...... The Binomial Theorem . Evolution .... Square Root .. 279 285 289 297 302 309 310 CHAPTER XXI . Fractional and Negative Indices . XXII . viii ...
... Problems ... Miscellaneous Examples IV . Miscellaneous Equations .. XX . Involution ...... The Binomial Theorem . Evolution .... Square Root .. 279 285 289 297 302 309 310 CHAPTER XXI . Fractional and Negative Indices . XXII . viii ...
Page 1
... problem for example , the letter must be regarded as standing for the same number in all the operations of the series . Several distinct letters may be used to denote several distinct numbers in the same problem . In these Introductory ...
... problem for example , the letter must be regarded as standing for the same number in all the operations of the series . Several distinct letters may be used to denote several distinct numbers in the same problem . In these Introductory ...
Page 2
... problems . Our first concern is to state the given problem in the form of an equation , and the way to do this must be sought in the language of the problem itself . A few simple examples will best explain how . Ex . 1. If $ 10 were ...
... problems . Our first concern is to state the given problem in the form of an equation , and the way to do this must be sought in the language of the problem itself . A few simple examples will best explain how . Ex . 1. If $ 10 were ...
Page 3
... problem says : Twice the number of dollars I have + $ a = $ b . Ex . 3. The sum of two numbers is 50 , and their difference is 20 . What are the numbers ? The first condition of this problem asserts that The larger number + the smaller ...
... problem says : Twice the number of dollars I have + $ a = $ b . Ex . 3. The sum of two numbers is 50 , and their difference is 20 . What are the numbers ? The first condition of this problem asserts that The larger number + the smaller ...
Other editions - View all
Common terms and phrases
7th term a²b a²b² a²x a²x² a³b ab² ab³ absolutely convergent algebraical expression arithmetic means ax² b₁ binomial theorem cents CHAPTER coefficients contain continued fraction convergent denote determinant difference digits Divide dividend division divisor equal equation x² example Find the factors Find the H. C. F. Find the number Find the square Find the sum Find the value finite formula geometrical progression given expression greater Hence indeterminate forms integer less letters limit logarithms monomial Multiply negative nth root number of terms obtain permutations positive integer powers Prove quadratic equation quotient remainder result Show Simplify simultaneous equations Solve the equation square root subtract surds unknown quantities x²y x²y² xy² xy³ zero
Popular passages
Page 46 - Multiplication is the process of taking one number as many times as there are units in another number.
Page 362 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Page 349 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 77 - 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 362 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".