Bradbury's Elementary Algebra |
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Page 7
... minus ; 6. SUBTRACTION is denoted by the sign thus , 7 — 4 , i . e . 7 minus 4 , signifies that 4 is to be sub- tracted from 7 . - 7. MULTIPLICATION is denoted by the sign X ; thus , 6 X 5 signifies that 6 and 5 are to be multiplied ...
... minus ; 6. SUBTRACTION is denoted by the sign thus , 7 — 4 , i . e . 7 minus 4 , signifies that 4 is to be sub- tracted from 7 . - 7. MULTIPLICATION is denoted by the sign X ; thus , 6 X 5 signifies that 6 and 5 are to be multiplied ...
Page 14
... minus ,, is called the negative sign , and the quantity before which it stands , a negative quantity . 20. Sometimes both and are prefixed to a quan- tity , and the sign and quantity are both said to be am- biguous ; thus , 8 ± 3 = 11 ...
... minus ,, is called the negative sign , and the quantity before which it stands , a negative quantity . 20. Sometimes both and are prefixed to a quan- tity , and the sign and quantity are both said to be am- biguous ; thus , 8 ± 3 = 11 ...
Page 17
... minus ; as x + y , or 3 a + 4x 7aby . - 30. A BINOMIAL is a polynomial of two terms ; as 3x + 3y , or x - y . 31. A RESIDUAL is a binomial in which the two terms are connected by the minus sign , as x - y . 32. SIMILAR TERMS are those ...
... minus ; as x + y , or 3 a + 4x 7aby . - 30. A BINOMIAL is a polynomial of two terms ; as 3x + 3y , or x - y . 31. A RESIDUAL is a binomial in which the two terms are connected by the minus sign , as x - y . 32. SIMILAR TERMS are those ...
Page 18
... minus the difference of m and n . ( m > n . ) 2. Four times the square root of the sum of a , b , and C. 3. Six times the product of the sum and difference of c and d . ( ed . ) 4. Five times the cube root of the sum of a , m , and n ...
... minus the difference of m and n . ( m > n . ) 2. Four times the square root of the sum of a , b , and C. 3. Six times the product of the sum and difference of c and d . ( ed . ) 4. Five times the cube root of the sum of a , m , and n ...
Page 28
... the polynomial in a parenthesis and prefix- ing the sign . - Thus , y3 23 taken from x3 . 23-2-3- ( 2 ~ 3 + 33 — 23 ) . ( 23 23 may be written When a parenthesis with the sign minus before it is 28 ELEMENTARY ALGEBRA .
... the polynomial in a parenthesis and prefix- ing the sign . - Thus , y3 23 taken from x3 . 23-2-3- ( 2 ~ 3 + 33 — 23 ) . ( 23 23 may be written When a parenthesis with the sign minus before it is 28 ELEMENTARY ALGEBRA .
Other editions - View all
Bradbury's Elementary Algebra William Frothingham Bradbury,James Howard Eaton No preview available - 2016 |
Bradbury's Elementary Algebra: Designed for the Use of High Schools and ... William Frothingham Bradbury No preview available - 2015 |
Bradbury's Elementary Algebra: Designed for the Use of High Schools and ... William Frothingham Bradbury No preview available - 2019 |
Common terms and phrases
a²x² Algebra arithmetical mean arithmetical progression binomial binomial theorem cents coefficient cologarithm common difference completing the square cube root Divide dividend division equal Expand extracting the square figures Find the cube Find the factors Find the fourth Find the greatest Find the least Find the square Find the sum Find the value Find two numbers geometrical progression greatest common divisor Hence horse improper fraction integral quantity least common multiple less logarithm lowest terms minus monomial Multiply NOTE number of terms obtain OPERATION polynomial proportion quadratic equation quan quotient radical sign ratio Reduce x² reduced gives remainder RULE second term simplest form Solve the equation square root Substituting this value subtracted Theorem third tities Transposing trial divisor twice unknown quantity x² y² yards
Popular passages
Page 78 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Page 40 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 100 - D. The distance from A to D is 34 miles ; the distance from A to B is to the distance from C to D as 2 to 3 ; and £ of the distance from A to B, added to one half the distance from C to D, is three times the distance from .B to C.
Page 44 - ... the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (2) That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.
Page 43 - 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 87 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 83 - TRANSPOSITION is the changing of terms from one member of an equation to the other, without destroying the equality. The object of transposition is to bring all the unknown terms into one member and all the known into the other, BO that the unknown may become known.
Page 212 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Page 209 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Page 251 - B had during the whole time; and at the same rate as before B would reach Springfield in 5f days. How far from Boston did they meet? Ans. 42 miles. 163. The product of two numbers is 90 ; and the difference of their cubes is to the cube of their difference as 13 : 3. What are the numbers ? 164. A and B start together from the same place and travel in the same direction. A travels the first day 25 kilometers, the second 22, and so on, travelling each day 3 kilometers less than on the preceding day,...