An Exercise Book in Algebra: Designed for Supplementary Or Review Work in Connection with Any Text-book on Algebra |
Other editions - View all
Common terms and phrases
১১ 9 x² a²+b² a²b a²b² a²x a²x² a³b ab² ab³ algebraic expression arithmetical mean Arithmetical Progression ax² ax³ benches Binomial BINOMIAL THEOREM bx² cent coefficients continued fraction degree equal equation x² EXERCISES exponents Extract the square Factor the following Find the limits Find the number Find the rate Find the sum Find the value following equations formula gallons Geometrical Progression invested mean proportional Multiple number consists original number permutations prove QUADRATIC EQUATIONS quadratic form radical sign ratio recurring decimal Reduce Simplify the following simultaneous equations Solve the equation Solve the following Solve the simultaneous Solve x² square root theorem things taken three digits three numbers unknown quantity x¹y x²y x²y² x³y x³y² x³y³ xy¹ xy² xy³
Popular passages
Page 129 - The sum of two numbers is 8, and the sum of their cubes is 152. What are the numbers ? Ans.
Page 72 - The pupil should notice that he wants the value of 12x instead of x. 39. A cask, A, contains 12 gallons of wine mixed with 18 gallons of water ; another, B, contains 9 gallons of wine mixed with 3 gallons of water. How many gallons must be drawn from each to make a mixture of 7 gallons of wine and 7 of water...
Page 140 - The area of a circle whose radius is 10 feet is 314.159 square feet. 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 140 - When does one quantity vary directly as another, and when inversely as another ? Given that y varies as the sum of two quantities, one of which varies as x directly, the other as x inversely ; and that when x = 1, y = 4, when x =. 2, y = 6 : Find the relation between x and y.
Page 86 - Five thousand dollars is divided between A, B, C, and D. B gets half as much as A; the excess of C's share over D's share is equal to...
Page 84 - How much had each at first ? 3. There is a number consisting of three digits. The sum of the first and second digits exceeds the third by 4.
Page 143 - Solve the equation x' — • x -f- 5 1/2x" — 5x+6 = 3x + 33 2 4. There are 20 things of one kind and 10 of another ; how many different sets can be made each containing 3 of the first kind and 2 of the second ? 5. Insert 3 arithmetical means between 4 and 20. TV 6. Expand ; 5 into a series by the method of 1 + x + x
Page 146 - At what times between 10 and 11 o'clock are the hands of a watch at right angles ? 80. A banker has two kinds of money.
Page 134 - The sum of the digits of a certain number of two figures is 5, and if 3 times the units' digit is added to the number, the order of the digits will be reversed. What is the number? 59. Twice the units...
Page 132 - The different orders in which things can be arranged are called their Permutations. Thus, the permutations of the letters a, b, c, taken two at a time, are ab...