Exercises in Algebra |
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3d term 5th term 9 a² a+b)² a+b)³ a²b a²b² a²x a²x² a³b ab)³ ab² ab³ arithmetical means ax² ax³ binomial compound interest consonants continued proportion cube root decimal places denominator difference digits equation Expand exponents Extract Factor find log Find the number Find the square Find the sum Find the value find value Find x fraction geometrical means infinity letters logarithms m² n² m²n m²n² mean proportional minuend mn² numerical value odd numbers PHILLIPS AND FISHER'S prove quadratic whose roots quotient ratio REVIEW Exercise Show Simplify Solve square root subtracted term containing Va² Va³ vowels words x²+1 x²+x+1 x²y x²y²
Popular passages
Page 141 - There are four numbers, the first three of which are in GP, and the last three are in AP ; the sum of the first and last is 14, and of the means is 12. Find the numbers.
Page 133 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.
Page 141 - ... pay $2.50 extra, in consequence. Of how many did the party consist? 121. 1. If the number of visitors to a fair varies as the square of the number of degrees above 42° F., and if there are 1152 visitors when the temperature is 68°, how many visitors will there be if the temperature is 55° ? 2. Insert between 6 and 16 two numbers such that the first three numbers may be in arithmetical progression, and the last three in geometrical progression. 3. If è of the sum of the squares of the roots...
Page 171 - X, x + y represent the numbers. 17. Arithmetical means are inserted between 5 and 23, so that the sum of the first two is to the sum of the last two as 2 is to 5. How many means are inserted ? 18. -Find three numbers of an arithmetical series whose sum shall be 21, and the sum of the first and second shall be f of the sum of the second and third.
Page 166 - Ex. 2. Out of 7 consonants and 4 vowels, how many words can be made each containing 3 consonants and 2 vowels ? The number of ways of choosing the three consonants is...
Page 27 - In a company there are 39 persons. The number of children is twice the number of grown people. How many are there of each ? 34.
Page 69 - If 1 is added to both numerator and denominator of a certain fraction, the resulting fraction...
Page 133 - B = 5 and (7=7. 6. If the square of X varies as the cube of Y, and X= 3 when F =4, find the equation between Xand F 7.