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
৪ ১১ 9 a² 9 x² a+b+c a²+b² a²b a²b² a²x a²x² a³b a³b³ a³x ab² ab³ arithmetical mean Arithmetical Progression ax² ax³ binomial cent common term continued fraction cyclic order denominator digits Divide equal EXERCISES exponents Extract the square Factor the following Find the number Find the sum Find the value following equations following expressions formula gallons Geometrical Progression greatest common greatest common divisor loga logarithm miles per hour minutes number consists original number Pages partial fractions QUADRATIC EQUATIONS quotient radical sign Reduce Simplify the following simultaneous equations Solve the equation Solve the following Solve the simultaneous square root theorem things taken unknown quantity Va² x¹y x¹y² x²y x²y² x²y³ x³y x³y² x³y³ 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 4 - The product of two binomials having a common term is equal to the square of the common term, plus the sum of the unlike terms multiplied by the common term, plus the product of the unlike terms.
Page 159 - Iii what time can each alone perform the work? 39. A crew can row 10 miles in 50 minutes down stream, and 12 miles in an hour and a half against the stream. Find the rate in miles per hour of the current, and of the crew in still water. Let x = the rate of...
Page 5 - Since the square of any polynomial is equal to the sum of the squares of each...
Page 165 - 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 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 168 - 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 148 - 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...