By Wallace C. Boyden
It is a new printing of the vintage algebra publication by way of Boyden. The publication is appropriate for college students taking a primary direction in algebra. it really is full of approximately 1500 workouts for college kids to perform. themes coated contain notation, operations, factoring, fractions, advanced fractions, fixing equations, and fixing simultaneous equations. solutions to all of the workouts are supplied on the finish of the publication.
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Additional resources for A First Book in Algebra
4. x−5 x+3 x2 − 5x 3x − 15 2 x − 2x − 15 How many terms in the product? What is the first term? How is the last term formed? How is the coefficient of x in the middle term formed? The answers to the examples in the following exercise are to be written directly, and not to be obtained by the full form of multiplication: Exercise 20. Expand: 1. (x + 2)(x + 7). 2. (x + 1)(x + 6). 3. (x − 3)(x − 4). 4. (x − 5)(x − 2). 5. (x + 5)(x − 2). 6. (x + 7)(x − 3). 7. (x − 7)(x + 6). 8. (x − 6)(x + 5). 9. (x − 11)(x − 2).
16. a4 b8 − l. 17. x1 6 − b1 6. 18. 16a4 − 1. 19. a4 − ax2 . 20. 5b4 − 5a2 b2 . 21. ax2 − ay 2 − bx2 + by 2 . 22. 5ax − 5a3 x + 5ay − 5a3 y. 23. m2 − y 2 − am + ay. 24. a2 − x2 − a − x. 25. By how much does x exceed 3y? 26. Eleven years ago C was three times as old as D whose age was x years. What is C’s present age ? 60 26. CASE III. To factor the sum of the cubes of two numbers. ILLUS. 1. Divide a3 + b2 by a + b. ILLUS. 2. Divide m3 + n3 y 3 by m + ny. ILLUS. 3. Divide 8a6 + b3 c9 by 2a2 + bc3 .
X3 + x2 + x + 1. 10. y 3 − y 2 + y − 1. 11. x5 + x4 − x3 − x2 + x + 1. 12. a2 x + abx + ac + aby + b2 y + bc. 13. ax − bx + by + cy − cx − ay. 14. 3ax + 3ay − 2bx − 2by. 15. 2ax − 3by + cy − 2ay + 3bx − cx. 16. 6amx + 3amy − 6anx − 3any. 17. A man had 250 acres of land and 30 houses. After trading x of his houses for y acres of land, how many has he of each? 18. What is the number that will become four times as large by adding 36 to it? 19. The fifth and seventh of a number are together equal to 24.