## First Lessons in Algebra: In which the Elements of the Science are Familiarly Explained |

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First Lessons in Algebra: In Which the Elements of the Science Are ... Samuel Alsop No preview available - 2017 |

First Lessons in Algebra: In Which the Elements of the Science Are ... Samuel Alsop No preview available - 2016 |

### Common terms and phrases

a²x² added addition algebraic amount becomes binomial bought bushels called cents Clear coefficient Collect common difference complete compound consequently contain cube denominator determine Divide dividend division divisor dollars eliminate equal equation evident EXAMPLES expressed extracting the square factors find the values four fourth fractions gallons Given gives greater half Hence increased indices length less letters means miles Multiply negative number of terms obtain one-third operation perform placed positive principles proportionals quadratic quantities quotient Raise ratio received Reduce remainder represent Required result RULE shares signs simple solution solved square root substituted subtract taken term third Transpose transposition twice unknown quantities values of x whence whole written xy³ yards

### Popular passages

Page 41 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.

Page 135 - There are three numbers in geometrical progression, whose sum is 14, and the sum of the first and second is to the sum of the second and third as 1 to 2 ; required the numbers. Ans.

Page 122 - The difference between the first and second terms of a proportion is to the second, as the difference between the third and fourth is to the fourth. The given proportion, a : b : : c : d, , ... ac may be written, 6~d...

Page 133 - There are three numbers in arithmetical progression, whose sum is 21 ; and the sum of the first and second is to the sum of the second and third as 3 to 4. Required the numbers! Ans. 5, 7, 9.

Page 90 - C in ten days ; how many days would it take each to perform the same work alone ? Ans.

Page 120 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.

Page 2 - At a meeting of the Controllers of Public Schools, First District of Pennsylvania, held at the CONTROLLERS...

Page 122 - COMPOSITION ; that is, the sum of the first and second, will be to the second, as the sum of the third and fourth, is to the fourth.

Page 70 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.

Page 35 - To reduce fractions to a common denominator. RULE Multiply each numerator by all the denominators, except its own, for a new numerator ; and multiply all the denominators together for a new denominator.