## An Introductory Algebra |

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### Common terms and phrases

a²b a²y ab² acres added algebraic expression algebraic sum ARITHMETICAL NUMBERS Binomial Factors bushels cents per pound Clearing of fractions coefficients Combining COMPLETE QUADRATIC EQUATIONS Completing the square containing cost denominator difference digits divided dividend divisor dollars Extracting the square feet Find the numbers Find the value former hypotenuse incomplete quadratic larger number latter m²n m²n² marbles marked price member becomes miles per hour minuend mn² monomial numbers whose sum obtained parenthesis perimeter perpendicular positive prefixed quantity quotient ratio rectangle remainder represent the number respectively right triangle second member second term selling sheep side SIGHT EXERCISES Give similar terms Simplify the following smaller number sold SOLUTION Given Solve square rods square root Substituting subtracted subtrahend Test third Transposing trinomial twice unknown number WRITTEN EXERCISES Find WRITTEN PROBLEMS x²y yards

### Popular passages

Page 101 - 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 44 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.

Page 149 - The first and fourth terms are called the extremes; the second and third terms, the means. Thus in the proportion...

Page 36 - If a certain number be divided by the product of its two digits, the quotient will be 2 ; and if 27 be added to the number, the digits will be inverted. What is the number 1 Prob.

Page 102 - The square root of a number is one of the two equal factors of the number. The...

Page 5 - ... Between what two towns, and what distance from each of these towns did they meet ? 15. Mr. A. went from Portland to Baltimore, travelling 5 miles an hour, and 10 hours a day. Mr. B. performed the same journey; but started 1 day later, and travelled 7 miles an hour. Where did B. pass A.? 16. Divide $1000 among A, B, and C, giving B twice as much as A, and C twice as much as B. 17. Gunpowder is composed of 5 parts sulphur, 7 parts charcoal, and 38 parts nitre. How many pounds of each ingredient,...

Page 14 - The sum of the digits of a number of two figures is 11 ; and if 27 be subtracted from the number, the digits will be inverted. Required the number. 28. The sum of the digits of a number of three figures is 11, and the units' figure is twice the figure in the hundreds

Page 62 - The area of the surface of a sphere is equal to the product of the diameter by the circumference of a great circle. Let...

Page 143 - According to our definition of multiplication, we need only to write the product of the numerators over the product of the denominators.