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ab+b2 added algebraical ex algebraical expressions algebraical quantities algebraical sentence arithmetic arranged binomial brackets cent CHAPTER common letter consecutive numbers contain cube root debt deduce denominator difference digits be interchanged dividend divisible divisor equa equal equation x2+px+q=o Find the cube Find the G. C. M. find the number Find the square Find the value former fraction gallons give greatest common measure half-crowns Hence last terms learner least common multiple lowest terms miles per hour minutes negative quantities number is diminished pounds pression Price 8d proper sign Prove the rule PUPIL-TEACHER'S COURSE Pupil-Teachers Quadrat1c quadratic equation quotient Reduce to lowest remainder Required the number Resolve into factors result rule of signs second series shillings simple factor Simplify Solve the equations square root subtracted taking the square tion unknown element unknown quantity vessel walk whence x2+px yards
Page 66 - of three digits, the right-hand one being 0 ; if the left-hand and middle digits be interchanged the number is diminished by 180 ; if the lefthand digit be halved, and the middle and right-hand digits be interchanged, the number is diminished by 454. Find the number?
Page 51 - A sum of money is divided among three persons. The first receives £10 more than a third of the whole sum ; the second receives ^15 more than a half of what remains ; and the third receives what is over, which is
Page 20 - divide the first term of the dividend by the first term of the divisor, thus
Page 63 - If the left-hand and middle digits be interchanged, the number is diminished by 180 ; if the left-hand digit be halved, and the middle and righthand digit be interchanged, the number is diminished by 336 : find the number.
Page 20 - the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend ; bring down
Page 107 - A ship sails with a supply of biscuit for 60 days, at a daily allowance of 1lb. a head. After being at sea 20 days, she encounters a storm, in which 5 men are washed overboard, and damage sustained that will cause a delay of 24 days, and it is found that each man's allowance must be reduced to £ Ib. Find the original number of the crew.
Page 67 - Two trains, 92 feet and 84 feet long respectively, are moving with uniform velocities on parallel rails ; when they move in opposite directions they are observed to pass each other in
Page 126 - Public School boys, has endeavoured in his notes and hints to guard against the common difficulties and errors; and it is hoped that not only Pupil-Teachers, but also all others who are commencing the study of Geometry, will find this little book useful. Part II.—ALGKEBRA. Price