Key to the High School Algebra: Containing Solutions of the More Difficult Examples |
Common terms and phrases
3x²y 9 a² 9 x² A's capital a²b a²b² a²c a²x a²x² a³b a³x ab² ab³ ac² ax² ax³ B's age B's share b²c² Bx² Clearing and transposing Completing square corresponding number Cx² Difference of mantissas distance dollars Dx³ Equating coefficients equation becomes Ex¹ Expanding Extracting root Extracting square root Factoring feet fraction gallons Given mantissa hence integral figures KEY H. S. ALG Let x represent Logarithm Mantissa next less Mantissa of log mc² miles Multiplying Number corresponding number of days Principle quantity represent the number rods scale of relation Simplifying Substituting in formula Subtracting third remainder traveled Trial divisor v²y² vy² whence x²y x²y² x²y³ x³y x³y² xy² xy³ yards ах อล
Popular passages
Page 312 - The square on the hypotenuse equals the sum of the squares on the other two sides.
Page 223 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms.
Page 31 - In any trinomial square (Art. 108), the middle term is twice the product of the square roots of the first and third terms ; hence the square root of the third term is equal to the second term divided by twice the square root of the first.
Page 76 - Then - = the part both can do in 1 day, x — = the part A can do in 1 day, a and - = the part B can do in 1 day.
Page 217 - Transposing 50 x* + 300 x = 3600, whence a;2 + 6 x = 72, and x = 6 or — 12, 450 = 750. Hence $7.50 was the price of the pasture per week. Ex. 5. There are four numbers in arithmetical progression, the product of the extremes being 22, and that of the means 40. What are the numbers ? Let...
Page 109 - ... x = 15 . (2) and x -\- у = z (3) Substituting (3) in (1), 2 z = 146 (4) Whence, z = 73 (5) Therefore, from (3), x -\- у — 73 (6) Equation (2), ( — x + у — 15 Adding (6) and (2), 2...
Page 207 - ... more than the men. How many men and women were there ? Let x = the number of women, And y = the number of men. Then the women will have expended I6x, and the men 25y, so that I6x=25y + l.
Page 207 - Let x and у represent the numbers ; then, x — у = 15; (1) and, & = f.
Page 89 - Let x represent the number of days in which both can do it...
Page 317 - ... equal to the sum of an arithmetical series whose first term is...