## New School Algebra |

### From inside the book

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**multiplication**is forming the product from the multiplicand precisely as the multiplier is formed from unity , makes an easy road to the laws of addition and sub- traction of algebraic numbers , and to the law of signs in**multiplication**... Page

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**MULTIPLICATION**AND DIVISION VI . SPECIAL RULES VII . FACTORS VIII . COMMON FACTORS AND MULTIPLES IX . FRACTIONS X. FRACTIONAL EQUATIONS XI . SIMULTANEOUS SIMPLE EQUATIONS PAGE 1 15 33 49 59 75 85 108 123 148 • 174 XII . PROBLEMS WITH ... Page 3

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**Multiplication**, X. The sign × is read times , or**multiplied**by . Thus , 4 × 3 is read 4 times 3 , and indicates that the number 3 is to be**multiplied**by 4 ; a × b is read a times b , and indicates that the number b is to be ... Page 13

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**multiply**5 by 4 and 3 by 4 and add the products . By the first process , 4 ( 5 + 3 ) = 4 x 8 = 32 . By the second ...**multiplication**. 42. The order of the factors is immaterial . Thus , and 4 ( 5 + 3 ) = 4 × 5 + 4 × 3 = 32 , ( 5 + ... Page 18

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**Multiply**the compound factor by the simple factor in each side , 1 ( 4x - 8 ) = 7x- ( 9x - 3 ) . Remove the parenthesis in each side , 1-4x + 8 = 7x9x + 3 . ( 8 40 ) Transpose , 9x - 4x - 7x = 3-1-8 . Change the signs of all the terms ...### Other editions - View all

### Common terms and phrases

a²b a²b² a²c a²x a²x² a³b ab² ab³ abscissa arithmetical arithmetical series ax² binomial called cent change the sign coefficient cologarithm common factor Compound Expressions cube root denominator difference digits Divide dividend divisible divisor equal equation exact divisor EXERCISE exponent Extract the square feet Find the H. C. F. Find the number Find the sum find the value fraction geometrical series given number graph Hence highest common factor integral number logarithm mantissa miles an hour monomial Multiply negative number number of dollars number of terms parenthesis positive integer quadratic quadratic equation quotient ratio remainder Resolve into factors smaller number Solve square root Subtract surd THEOREM Transpose unknown numbers variable x²y x²y² xy² yards ΙΟ ах

### Popular passages

Page 27 - Two men start from the same place and travel in the same direction ; one, 5 miles an hour ; the other, 7 miles an hour.

Page 308 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, divide by bd.

Page 372 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.

Page 300 - If twelve times the units' digit is subtracted from the number, the order of the digits will be reversed. Find the number.

Page 124 - To reduce a fraction to its lowest terms. A fraction is in its lowest terms, when the numerator and denominator are prime to each other.

Page 318 - Given that the area of a circle varies as the square of its radius...

Page 319 - The distance a body falls from rest varies as the square of the time it is falling.

Page 60 - To Multiply a Polynomial by a Monomial, Multiply each term of the polynomial by the monomial, and connect the partial products with their proper signs.

Page 174 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown numbers in the resulting equations of equal absolute value.

Page 332 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.