## A First Book of Algebra |

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acres added algebraic amount angle apiece arithmetic bushels buys called cents Check City coefficient contains copper cost difference digits dimensions diminished direction distance Divide equal equation Example exceeds EXERCISE exponent expression factors falls feet Find the number find the value five four fraction give given greater half Hence horses hour illustration inches increased indicated interest invested length less letter marked means measure mercury miles miles an hour minute months Multiply negative number of dollars paying positive pounds problem quadratic quantity quotient ratio received rectangle remainder represent result selling sold SOLUTION Solve square root stand Step stream subtract symbols train Transposing travels twice units width write yards York

### Popular passages

Page 142 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.

Page 77 - 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 42 - When the sum of two numbers and one of the numbers are given, to find the other number. From the given sum subtract the given number, and the remainder will be the other number.

Page 59 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.

Page 171 - In any proportion, the product of the means equals the product of the extremes.

Page 73 - A term may be transposed from one member of an equation to the other by changing its sign.

Page 211 - The difference of two numbers is 5, and the sum of their squares is 697.

Page 220 - The exponent of the quotient of a power of a quantity by a power of the same quantity is equal to the exponent of the dividend minus the exponent of the divisor. dm H ence, — = a"1""1 = a°. am But — =1. am Hence, a° = 1. Since, a~n • a" = a~n+

Page 181 - Example 2. At what time between 4 and 5 o'clock are the hands of a clock at right angles ? SOLUTION.