## Shorter Course in Algebra |

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### Popular passages

Page 4 - Find two numbers such that, when the greater is divided by the less, the quotient is 4, and the remainder 3 ; and when the sum of the two numbers is increased by 38, and the result divided by the greater of the two numbers, the quotient is 2 and the remainder 2," is much simplified by the use of letters to represent the unknown numbers.

Page 149 - 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 224 - ... 16. There are two roads from A to B, one of them 14 miles longer than the other ; and two roads from B to C, one of them 8 miles longer than the other. The distance from A to B is to the distance from B to C, by the shorter roads, as 1 to 2 ; by the longer roads, as 2 to 3.

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

Page 53 - 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 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 58 - Any term may be transposed from one side of an equation to the other provided its sign be changed.

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

Page 37 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.

Page 127 - A sets out and travels at the rate of 7 miles in 5 hours. Eight hours afterwards B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours. In how many hours will B overtake A ? 41.