## Shorter Course in Algebra |

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according added algebraic arithmetical Arrange becomes binomial called cents changed coefficient common factor complete contain cost cube root denominator denote Determine difference digits divided divisible divisor dollars double equal equation equivalent example exponent expression Extract factors feet figures Find Find the number four fourth fraction given gives greater Hence increased indicated integral leaps length less letter means method miles Multiply negative NOTE observed obtained operation places polynomial positive pounds problem quadratic quotient ratio Reduce remainder represent Resolve respectively result second term sides simple Simplify solution Solve square root Substitute Subtract surds symbol taken term third twice units unknown quantity Write written

### Popular passages

Page 66 - The square root of a number is one of the two equal factors of the number.

Page 172 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term.

Page 147 - The sum of the two digits of a number is 6, and if the number be divided by the sum of the digits the quotient is 4.

Page 49 - 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.

Page 108 - Therefore, to find a fraction of a fraction, Find the product of the numerators for the numerator of the product, and of the denominators for the denominator of the product.

Page 99 - Reduce the fractions to equivalent fractions having the lowest common denominator. Subtract the numerator of the subtrahend from the numerator of the minuend.

Page 138 - Find the value of one of the unknown quantities, in terms of the other and known quantities...

Page 28 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.

Page 37 - The product of the sum and difference of two numbers is equal to the difference of their squares.

Page 172 - The first step in the solution of such an equation is to complete the square ; that is, to add to each side the square of the quotient obtained from dividing the second term by twice the square root of the first term.