A school algebra to quadratic equations1875 |
From inside the book
Results 1-5 of 13
Page 1
Charles Mansford. TABLE OF CONTENTS . Signs and Symbols Addition Subtraction Brackets .. Factors and Powers Miscellaneous Examples Multiplication Division Important Results in Multiplication Results in Division - Factors SIMPLE EQUATIONS ...
Charles Mansford. TABLE OF CONTENTS . Signs and Symbols Addition Subtraction Brackets .. Factors and Powers Miscellaneous Examples Multiplication Division Important Results in Multiplication Results in Division - Factors SIMPLE EQUATIONS ...
Page 13
... FACTORS AND POWERS . When two or more numbers are multiplied together the result is termed a product , and the numbers thus multiplied together are called factors . Thus 12 = 3 × 4 . Hence 12 is the product of 3 and 4 ; also 3 and 4 are ...
... FACTORS AND POWERS . When two or more numbers are multiplied together the result is termed a product , and the numbers thus multiplied together are called factors . Thus 12 = 3 × 4 . Hence 12 is the product of 3 and 4 ; also 3 and 4 are ...
Page 19
... factors in succession . So to multiply by 66 we may multiply by b and take the result 6 times . But 5a > b = 5ab ... factors to be multiplied are the same we obtain powers of the factor . Ex . Multiply 3 by x1 . x3 = xxxxx and xxxxxxxx ...
... factors in succession . So to multiply by 66 we may multiply by b and take the result 6 times . But 5a > b = 5ab ... factors to be multiplied are the same we obtain powers of the factor . Ex . Multiply 3 by x1 . x3 = xxxxx and xxxxxxxx ...
Page 23
... factors given to find their product . In division the product and one of the factors are given , and we are required to find the remaining factor . The factor given is called the divisor , and the factor to be found is called the ...
... factors given to find their product . In division the product and one of the factors are given , and we are required to find the remaining factor . The factor given is called the divisor , and the factor to be found is called the ...
Page 24
... factors contained in the divisor , and the remaining factors will be the quotient , the sign of which must be determined by the rule of signs . Divide , EXERCISE XIV . ( 1 ) 12xyz by 3xz , ( 3 ) 81axy by -27y . ( 5 ) 25pqr by -5pq . ( 2 ) ...
... factors contained in the divisor , and the remaining factors will be the quotient , the sign of which must be determined by the rule of signs . Divide , EXERCISE XIV . ( 1 ) 12xyz by 3xz , ( 3 ) 81axy by -27y . ( 5 ) 25pqr by -5pq . ( 2 ) ...
Common terms and phrases
a+b+c a²-b² a²+ab+b² a²+b² added adfected quadratic Algebra Arithmetic bought cent changing their signs clearing off fractions complete the square compound expressions cost difference Ditto Divide the number dividend division divisor eliminate equa equal equation containing examples exceeds EXERCISE extract the square factors feet Find the numbers florins following rule gallons greatest common measure half-crowns half-guineas Hence least common multiple methods miles per hour minuend number sought numerator and denominator numerical value obtained PROBLEMS proceed quadratic equation quotient remainder Remove the brackets Required the number rule of signs second term sheep shillings simple equations SIMULTANEOUS EQUATIONS Solve the equations Solve the following square root subtracted sugar suppose symbols terms containing third Transpose twice the product unknown quantities write written x+1 x+2 yards
Popular passages
Page 91 - A vintner sold 7 dozen of sherry and 12 dozen of claret for 50/., and finds that he has sold 3 dozen more of sherry for 10/. than he has of claret for 6/. Required the price of each.
Page 28 - I. The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 28 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 28 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 69 - There is a certain number, consisting of two places of figures, which is equal to four times the sum of its digits ; and if 18 be added to it, the digits will be inverted; what is the number? Ans. 24.
Page 73 - ... 7. A person walking along the road in a fog meets one waggon and overtakes another which is travelling at the same rate as the former. and he observes that between the time of his first seeing and passing the waggons, he walks 20 yds. and 60 yds.
Page 43 - ... start at the same time, from the same place, and travel in opposite directions, what will represent their distance apart at the end of 1 day ? of 2, 3, 4, 5 days ? ART.
Page 44 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Page 34 - Any term may be transposed from one side of an equation to the other by changing its sign.
Page 3 - Quantities having the same sign are said to have like signs ; those having different signs are said to have unlike signs.