# Intellectual Algebra, Or Oral Exercises in Algebra for Common Schools ...: Adapted to Prepare the Pupil for the Study of Written Arithmetic and Designed to be Introductory to Higher Treatise on Algebra

Crosby, Nichols & Company, 1855 - Algebra - 208 pages
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### Contents

 Section 1 2 Section 2 3 Section 3 6 Section 4 6 Section 5 12 Section 6 25 Section 7 34 Section 8 132
 Section 9 147 Section 10 150 Section 11 154 Section 12 158 Section 13 169 Section 14 197 Section 15 3 Section 16 5

### Popular passages

Page 119 - The sum of two numbers is a, and their difference is b; what are the numbers? Let x — the greater number, and
Page 166 - X 3 — 30, or, the square of the first term, twice the product of the two terms, and the square of the last term ; as in 6th.
Page 103 - What are the parts ? 20. A man and boy received thirteen dollars for a week's labor. If two thirds of what the man received be taken from twice the sum that both had, the difference will be five times the money which the boy received. How many dollars had each ? SECTION XXI.
Page 66 - How many sheep does each own 1 13. The sum of three numbers is seventy. The first is eleven more than the third, and the second is as much as the first and third together, lacking twelve. What are the numbers? 14. Three men together have' eighty-two dollars. A has fifteen more than B, and C has as many as A and B both. How many dollars has each ? , 15. Henry, William, and Robert, together, have forty-two cents. Henry has eight more than William, and Robert has only six less than both. How many cents...
Page 204 - 30 A boy wished to bay a certain number cf pencils, at 4 cents apiece, but lacked 3 cents of being able to pay for them ; so he bought the same number, at 3 cents apiece, and had just money enough left to buy one more at the latter price. How much money had he? and how many pencils did he- buy 1 31.
Page 106 - A's money, the sums shall be equal. How many dollars will each have? 17. The sum of two numbers is thirty-three. If one sixth of the greater be subtracted from two thirds of the less number, the remainder will be seven. What are the numbers ? 18. The sum of A's and B's money is thirty-six dollars. If five eighths of B's, less two dollars, be taken from three fourths of A's, the difference will be seven dollars. How many dollars has each ? 19. Reduce the equation 20 — — — - + 3 = 17 o 5 What...
Page 190 - As the question did not specify the elder, eithei value will answer its conditions ; therefore, John is 3 years and William 5 ; or John 5, and William 3. 2. The sum of two numbers is 10, and their product is 21. What are the numbers ? 3.
Page 99 - One number is ten less than another. If three times the less be taken from five times the greater, the remainder will be seven times the difference of the two numbers. What are the numbers?
Page 191 - Let x = numerator, y = denominator, — = the fraction. 12. There are two numbers, such that, if the greater be divided by the less, the quotient will be 3, and their difference is 4. What are the numbers ? 13. There are two numbers whose sum is 5, and whose product is 6. What are the numbers 1 14.
Page 73 - A father is four times as old as his son, and the difference of their ages is 24 years less than the sum ; how old is each ? 17.