## A Review of Algebra |

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### Common terms and phrases

ab² addition and subtraction ALGEBRA TO QUADRATICS arithmetical means arithmetical progression b² 4 ac College Entrance Board Completing the square COMPLEX FRACTIONS Cornell cubes decimal places equal expansion expression Factor feet Find the H. C. F. Find the numbers Find the square Find the sum Find the value FRACTIONAL EQUATIONS geometrical progression H. C. F. and L. C. M. inches INTERMEDIATE ALGEBRA Involution miles an hour MISCELLANEOUS EXAMPLES monomial MOUNT HOLYOKE COLLEGE Multiplication and Division pounds Princeton quadratic equation quadratic form QUADRATICS Continued quantities radicals Reference Review RULES OF MULTIPLICATION Sheffield Scientific School simplest form Simplify simultaneous equations Simultaneous Quadratics Solve and check Solve graphically Solve the equations Solve the following Special Rules square root sum to infinity THEORY OF EXPONENTS three terms Trinomial UNIVERSITY ALGEBRA UNIVERSITY ELEMENTARY ALGEBRA x²y² Yale

### Popular passages

Page 64 - He was once a candidate for the office of mayor ; but there being two other candidates, and a majority of all the votes cast being necessary for a choice, there was no election ; and he then withdrew from the contest.

Page 13 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 31 - W, where a and b are constants depending on the amount of friction in the machine. If a force of 7 pounds will raise a weight of 20 pounds, and a force of 13 pounds will raise a weight of 50 pounds, what force is necessary to raise a weight of 40 pounds ? (First determine the constants a and b.) Harvard.

Page 49 - Find four numbers in arithmetical progression such that the sum of the first and third shall be 22, and the sum of the second and fourth 36.

Page 72 - The sum of three numbers is 51. If the first number be divided by the second, the quotient is 2 and the remainder 5 ; but if the second number be divided by the third, the quotient is 3 and the remainder 2.

Page 51 - ... 5. A person who possesses $15,000 employs a part of the money in building a house. He invests...

Page 49 - The sum of the first three terms of a GP is 21, and the sum of their squares is 189. What is the first term ? 9.

Page 64 - Substitute these values into the formula for the sum of the first n terms of a geometric progression, and simplify: a -ar...

Page 62 - ... terms of a proportion are 5 and 54; the sum of the second and third terms is 51; find them. 9. If A varies directly as P, inversely as Q, and directly as...

Page 77 - A dealer has two kinds of coffee, worth 30 and 40 cents per pound. How many pounds of each must be taken to make a mixture of 70 pounds, worth 36 cents per pound ? 8.