## 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 |

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Intellectual Algebra, Or Oral Exercises in Algebra, for Common Schools David Bates Tower No preview available - 2015 |

Intellectual Algebra; Or, Oral Exercises in Algebra; For Common Schools David B 1808-1868 Tower No preview available - 2016 |

### Common terms and phrases

added added to three Algebra Anna apples balance balls barrel bought cents Charles complete condition contained cost cube difference distance divided Dividing each member dollars eight eighteen Eliza's equal equation will express equation will represent express the sum Extracting farmer fifteen five forty four fraction gave George George's gives greater half horse hour hundred John John's kind larger last term less Let x represent Mary miles multiplied nine ninths number be added oranges paid pasture peaches pears pencil perfect square pupils question received remainder respective values result scale School second power second root seven sevenths share sheep sixth smaller sold spent square root step Substituting subtracted taken tenths term third thirty three fourths tion travelled twelve twenty twenty-four twice Uniting terms value of x weeks weight whole

### 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.