An Exercise Book in Algebra: Designed for Supplementary Or Review Work in Connection with Any Text-book on Algebra |
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Common terms and phrases
১১ 9 x² a+b)² a+b+c a²+b² a²b a²b² a²x a²x² a³ b³ a³b a³b³ a³x ab¹ ab² ab³ arithmetical mean Arithmetical Progression ax² ax³ binomials bx² cent coefficients contains continued fraction cube cyclic order degree denominator equal EXERCISES exponents Extract the square Factor the following Find the number Find the rate find the value following equations formula gallons Geometrical Progression invested logarithm miles per hour Multiple number consists original number Pages partial fractions permutations QUADRATIC EQUATIONS quotient radical sign Reduce Simplify the following simultaneous equations Solve the equation Solve the following Solve the simultaneous Spherical Trigonometry square root theorem things taken unknown quantity Va² x¹y x¹y² x²y x²y² x²y³ x³y x³y² x³y³ xy² xy³
Popular passages
Page 139 - ... of each wheel be increased 1 yard, the fore wheel will make only 4 revolutions more than the hind wheel in going the same distance. "What is the circumference of each wheel ? Ans., 4 and 5.
Page 139 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14. 5. The sum of two numbers is 8, and the sum of their cubes is 152. What are the numbers ? Ans.
Page 131 - A person drew a quantity of wine from a full vessel which held 81 gallons, and then filled up the vessel with water. He then drew from the mixture as much as he before drew of pure wine ; and it was found that 64 gallons of pure wine remained. Find how much he drew each time.
Page 83 - The pupil should notice that he wants the value of 12x instead of z. 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 ? / 0 fro* A ^ *t /"»
Page 87 - 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 75 - When after 9 o'clock and before 10 o'clock will the hands of a clock be at right angles to each other ? 70.
Page 84 - A boat goes up stream 30 miles and down stream 44 miles in 10 hours. Again it goes up stream 40 miles and down stream 55 miles in 13 hours. Find the rates per hour of the stream and of the boat.