Elementary Algebra RevisedAmerican book Company, 1913 - 447 páginas |
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Página 5
... Solution of the Linear Equation . The Solution of Problems VII . Substitution . • The Use of Formulas VIII . Special Cases in Multiplication and Division Multiplication Division CHAPTER PAGE IX . Factoring 99 Expressions having the Same.
... Solution of the Linear Equation . The Solution of Problems VII . Substitution . • The Use of Formulas VIII . Special Cases in Multiplication and Division Multiplication Division CHAPTER PAGE IX . Factoring 99 Expressions having the Same.
Página 8
... Solution by Substitution Solution by Comparison and Factoring Solution of Symmetrical Types Solution of Miscellaneous Types Graphs of Quadratic Equations in Two Variables PAGE 286 • · 290 . 292 294 294 295 • 296 298 302 Problems ...
... Solution by Substitution Solution by Comparison and Factoring Solution of Symmetrical Types Solution of Miscellaneous Types Graphs of Quadratic Equations in Two Variables PAGE 286 • · 290 . 292 294 294 295 • 296 298 302 Problems ...
Página 65
... solution of equations is based upon the truths known as AXIOMS 1. If equals are added to equals , the sums are equal . 2. If equals are subtracted from equals , the remainders are equai . 3. If equals are multiplied by equals , the ...
... solution of equations is based upon the truths known as AXIOMS 1. If equals are added to equals , the sums are equal . 2. If equals are subtracted from equals , the remainders are equai . 3. If equals are multiplied by equals , the ...
Página 67
... solution depends upon the law of signs for division . 5 x = 20 = x = 4 In general : Thus : 5 x = – 20 - 5 x = 20 - = bx = − 20 x = 4 X = - x = 4 99. When both members of an equation are reduced to simplest form , like signs in both ...
... solution depends upon the law of signs for division . 5 x = 20 = x = 4 In general : Thus : 5 x = – 20 - 5 x = 20 - = bx = − 20 x = 4 X = - x = 4 99. When both members of an equation are reduced to simplest form , like signs in both ...
Página 68
... solutions following , should always be made in the original equation . THE GENERAL SOLUTION OF THE LINEAR EQUATION Illustrations : 1. Solve 5x - 4 = 3x + 12 . 5x - 4 = 3x + 12 . Transposing 3 x to the left member and — 4 to the right ...
... solutions following , should always be made in the original equation . THE GENERAL SOLUTION OF THE LINEAR EQUATION Illustrations : 1. Solve 5x - 4 = 3x + 12 . 5x - 4 = 3x + 12 . Transposing 3 x to the left member and — 4 to the right ...
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Términos y frases comunes
a²x a²x² a³b algebraic expression arithmetical arithmetical progression ax² binomial cents coefficient consecutive numbers consecutive odd numbers cube decimal difference digits Divide dividend division divisor dollars Exercise exponent feet Find the number Find the sum Find the value formula fraction geometrical progression given equation Hence highest common factor inclosed indicated integral LINEAR EQUATIONS logarithm m²n² m³n mantissa minuend monomial multiplicand Multiply negative number number of terms numbers whose sum Numerical Illustration obtained Oral Drill parenthesis polynomial present age principle quadratic equation quadratic surd quotient radical radicand ratio remainder required number Result second term Simplify smaller number solution square root Substituting Subtract surd three consecutive twice unknown quantity Whence x²y
Pasajes populares
Página 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.
Página 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.
Página 375 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 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.
Página 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.
Página 375 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 158 - At what time between 4 and 5 o'clock are the hands of a clock exactly opposite each other ? 7.
Página 323 - In any proportion, the product of the means equals the product of the extremes.
Página 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.
Página 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.