## Algebra |

### Common terms and phrases

a²b ab² ab³ amount arithmetic mean arithmetic series binomial binomial theorem cents Check coefficient Construct the graph cubic denominator difference digits dimes distance divided divisor equal Example EXERCISES Find EXERCISES Solve exponent factors figure Find the number Find the square Find the sum Find the value following equations following expressions fraction gallons geometric progression geometric series given equation given number height Hence increased length letter log tan log logarithms m²n mantissa miles an hour mn² monomial multiply nearest hundredth negative numbers polynomial pounds problem quadratic equation quotient radical radicand radius ratio rectangle represents result right triangle Rule side Simplify Solution Solve the equation square feet square root Substituting subtracted tank Trigonometric Functions twice unknown quantities whence x²y x³y xy² xy³

### Popular passages

Page 109 - 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 463 - The sum of the ages of a father and his son is 36, and in 10 years the son's age will be | of the father's age.

Page 486 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 475 - 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 480 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 136 - The square of any polynomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second; plus twice the...

Page 482 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.

Page 174 - Find the product of these factors, taking each factor the greatest number of times it occurs in any one of the given numbers.

Page 142 - The product of two binomials having a common term is equal to the square of the common term, plus the sum of the unlike terms multiplied by the common term, plus the product of the unlike terms.

Page 297 - Find a number of two digits in which the tens' digit is 3 greater than the units' digit, and such that if the number is divided by the sum of the digits, the quotient is 7. 11. In a number of two digits the units...