A Drill-book in Algebra: Exercises for Class-drill and Review, Arranged According to Subjects |
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Common terms and phrases
a b c a+b-c a+b+ a2 x² a²+b² a²x² a³ x a4 and x4 ab² ab³ ac bc ac² Algebra am³ ax² ax³ az² distance dollars EQUATIONS fifth term Find the values following expressions fourth term FRACTIONS Given log GREATEST COMMON DIVISOR IMPROPER FRACTIONS inner bracket LEAST COMMON MULTIPLE miles an hour multiplica operations indicated Perform the operations pound represent the number roots SIMPLIFICATION OF COMPLEX Simplify the following sixth term SUBTRACTION surds third term tion and division travelled unknown quantities Va² Va³ x y z x+1 x² x² y² x²+1 x²+x x²+xy x³ 6x² x³ y³ xy+ y² xy² α α ασ ас ах Зах
Popular passages
Page 65 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?
Page 115 - There are two rectangular vats, the greater of which contains 20 cubic feet more than the other. Their capacities are in the ratio of 4 to 5 ; and their bases are squares, a side of each of which is equal to the depth of the other vat. Required the depth of each.
Page 114 - A courier proceeds from P to Q in 14 hours. A second courier starts at the same time from a place 10 miles behind P, and arrives at Q at the same time as the first courier. The second courier finds that he takes half an hour less than the first to accomplish 20 miles. Find the distance from P to Q.
Page 73 - A crew which can pull at the rate of nine miles an hour, finds that it takes twice as long to come up a river as to go down ; at what rate does the river flow ? 20.
Page 75 - A railway train after travelling for one hour meets with an accident which delays it one hour, after which it proceeds at threefifths of its former rate, and arrives at the terminus three hours behind time ; had the accident occurred 50 miles further on, the train would have arrived 1 hour 20 minutes sooner. Required the length of the line. 2. Multiply together (1) a + x, b + x, and с + x; and resolve (2) x" — a" into four factors. Explain the meaning of a...
Page 66 - An officer can form his men into a hollow square 4 deep, and also into a hollow square 8 deep; the front in the latter formation contains 16 men fewer than in the former formation : find the number of ineu.
Page 116 - A ladder, whose foot rests in a given position, just reaches a window on one side of a street, and when turned about its foot, just reaches a window on the other side. If the two positions of the ladder be at right angles to each other and the heights of the windows be 36 and 27 feet respectively, find the width of the street and the length of the ladder.
Page 63 - Two persons, A and B, have both the same income : A saves | of his yearly, but B, by spending £50 per annum more than A, at the end of 4 years finds himself £100 in debt ; what is their income?
Page 72 - ... together from the foot of a mountain to go to the summit. A would reach the summit half an hour before B, but missing his way goes a mile and back again needlessly, during which he walks at twice his former pace, and reaches the top six minutes before В.
Page 116 - Geese, which were proceeding at the rate of 3 miles in 2 hours, he afterwards met a stage wagon, which was moving at the rate of 9 miles in 4 hours. В overtook the same drove of Geese at the 45th mile stone, and met the same stage wagon exactly forty minutes before he came to the 31st mile stone.