## New School Algebra |

### From inside the book

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**change**in the**signs**of the terms of the expression . Instead of a parenthesis , any other**sign**of aggregation may be used and the same rule will apply . 40. A parenthesis preceded by the**sign**- . If DEFINITIONS AND NOTATION . 11. Page 40

... sign of the subtrahend , as many units as there are in the absolute value of ... sign + before 1 , and is , therefore , + 2 . The result of subtracting - 1 ...

... sign of the subtrahend , as many units as there are in the absolute value of ... sign + before 1 , and is , therefore , + 2 . The result of subtracting - 1 ...

**Change the sign**of the subtrahend , and add the result to the minuend ... Page 41

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**Change the sign**of the coefficient of the subtrahend ; then add the coefficients , and annex the common letters to the result . EXERCISE 13 . Perform mentally the indicated subtractions : 1 . 2 . 3 . 4 . 5 . 166 3 yz 10 ab 6 a2 7 m2 11 ... Page 126

... sign of a compound expression is changed by chang- ing the sign of every term of the expression . Hence , 1. We may

... sign of a compound expression is changed by chang- ing the sign of every term of the expression . Hence , 1. We may

**change the sign**of every term of the numera- tor and denominator of a fraction without changing the value of the ... Page 136

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**Change the signs**before the terms of the denominator of the third fraction and the sign before the fraction . We ...**change the sign**of 2 and the signs of ( 2 x - 1 ) , § 160 . 2. Find the sum of 1 1 + a ( a - b ) ( a - c ) + 1 + b ...### Other editions - View all

### Common terms and phrases

9 x² 9 y² a²-b² a²b a²b² a²c a²x² ab² ab³ arithmetical arithmetical mean arithmetical series ax² binomial called cent change the sign coefficient cologarithm common factor Complete the square 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 value fraction geometrical series given number harmonical series 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 quotient ratio remainder Resolve into factors smaller number Solve square root Subtract surd THEOREM Transpose unknown numbers x²y x²y² xy² yards α² а² ас ах с² у² х² ху ху²

### Popular passages

Page 330 - 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.

Page 10 - If an expression within a parenthesis is preceded by the sign +, the parenthesis may be removed without making any change in the signs of the terms of the expression.

Page 316 - The area of a circle varies as the square of its radius, and the area of a circle whose radius is 1 foot is 3.1416 square feet.

Page 166 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?

Page 370 - 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 23 - 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 56 - To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the partial products: (6a — 3ft) x 3c = 18uc -96c.

Page 172 - 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 317 - The volume of a sphere varies as the cube of its radius. If the...

Page 36 - From these four cases we see that subtracting a positive number is equivalent to adding an equal negative number ; and that subtracting a negative number is equivalent to adding an equal positive number.