# A First Book in Algebra by Wallace C. Boyden

By Wallace C. Boyden

This can be a new printing of the vintage algebra e-book via Boyden. The publication is appropriate for college kids taking a primary path in algebra. it truly is filled with approximately 1500 workouts for college students to perform. issues lined comprise notation, operations, factoring, fractions, complicated fractions, fixing equations, and fixing simultaneous equations. solutions to the entire workouts are supplied on the finish of the e-book.

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**Extra resources for A First Book in Algebra**

**Example text**

If there are x tens, y units, and z hundreds in a number, what will represent the whole number of units? 28. CASE V. To factor trinomials which are perfect squares. Square c + b, c − b, x2 − y 2 , 3mn3 + y 2 , 2a2 bc − 3x2 yz 3 . How are the first and last terms of these trinomial squares formed? How is the middle term formed? When is a trinomial a square? Name those of the following trinomials which are squares: 1. m2 − 2mp + p2 . 2. x2 + 2xy − y 2 . 3. 4x2 − 4xy + y 2 . 63 4. x4 + 6x2 y + 9y 2 .

11. 3x3 − x2 + x. 12. a3 − a2 y + ay 2 . 13. 3a(x + y) + 5mb(x + y) − 9d2 x(x + y). 14. 4(a − b) − 15xy(a − b) + (a − b) − 5a2 b(a − b). 15. 4x3 y − 12ax2 − 8xy 3 . 16. 6ax3 y 5 − 4ax2 y 6 + 2axy 7 − 2a2 xy 9 . 17. 51x5 y − 34x4 y 2 + 17x2 y 4 . 18. 6a2 b2 − 3a3 b3 c − 9ab3 c + 3abc2 . 19. 3ax7 − 24ax + 9ax5 − 3ax4 − 9ax6 . 20. 27a8 b2 c3 − 81a7 b3 c3 + 81a6 b4 c3 − 27a5 b5 c3 − 27a5 b2 c6 . 21. A lady bought a ribbon for m cents, some tape for d cents, and some thread for c cents, for which she paid x cents on account.

2. x4 + 10x3 y 3 + 25x2 y 6 . 3. 16a2 b2 c4 − 56abc2 xy 2 z + 49x2 y 4 z 2 . 4. 1 2 4x − xy 2 z + y 4 z 2 . 5. a2 b6 + 23 ab3 c4 + 19 c8 . 6. x4 − 4x3 + 2x2 + 4x + 1. 7. x4 + 6x3 + 17x2 + 24x + 16. 8. 4x4 + 9x2 + 4 − 4x − 4x3 . 9. 6x3 − 5x2 + 1 − 2x + 9x4 . 10. x6 + 2x5 − x4 + 3x2 − 2x + 1. 53 x3 − x2 + 2x − 1 11. 6x4 − 4x3 + 4x5 − 15x2 − 8x + x6 + 16. 12. 7x2 − 6x − 11x4 + 10x3 − 4x5 + 1 + 4x6 . 13. A is x years old. If his age is as much above 50 as B’s age is below 40, what is B’s age? 14. If x represents the first digit, and y the second digit, of a number, what will represent the number?