## New School Algebra |

### From inside the book

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... be subtracted from a ; and Va - b means the same as √ ( a b ) , and signifies that b is to be subtracted from a , and the square root of the

... be subtracted from a ; and Va - b means the same as √ ( a b ) , and signifies that b is to be subtracted from a , and the square root of the

**remainder**found . Factors , Powers , Roots . 17. Factors . When 4 DEFINITIONS AND NOTATION . Page 11

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**remainder**to his 10 dollars , or adds the 3 dollars collected to his 10 dollars and pays from this sum his bill of 2 dollars . The first process is represented by 10+ ( 3-2 ) . The second process is represented by 10 + 32 . Hence , 10+ ... Page 16

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**remainders**are equal . Ax . 3. If equal numbers are multiplied by equal num- bers , the products are equal . Ax . 4. If equal numbers are divided by equal numbers , the quotients are equal . Ax . 5. If two numbers are equal to the same ... Page 20

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**remainder**2 ? if the divisor is d , the quotient q , and the**remainder**r ? 7. What is the quotient , if the dividend is 22 , the divi- sor 4 , and the**remainder**2 ? if the dividend is P , the divi- sor d , and the**remainder**r ? 8. What ... Page 22

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**remainder**on foot . How far does he go on foot ? 33. A train is running at the rate of a miles an hour . How many miles will it travel in m hours ? 34. The floor of a square room measures a feet each way . How many square yards of ...### 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.