By Charles P. McKeague
Algebra is available and fascinating with this renowned textual content from Charles "Pat" McKeague! hassle-free AND INTERMEDIATE ALGEBRA is infused with McKeague's ardour for instructing arithmetic. With years of school room event, he is aware tips on how to write in a manner that you're going to comprehend and enjoy. McKeague's consciousness to aspect and quite transparent writing variety assist you to maneuver via every one new suggestion comfortably. Real-world purposes in each bankruptcy of this effortless e-book spotlight the relevance of what you're studying. And learning is less complicated than ever with the book's multimedia studying assets, together with CengageNOW for common AND INTERMEDIATE ALGEBRA, a personalised on-line studying better half.
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Extra info for Elementary and Intermediate Algebra , Third Edition (with CengageNOW 2-Semester and Personal Tutor Printed Accesss Card) (Sign in and Succeed Pack)
Sample text
6(x ϩ 3) ϭ 6x ϩ 18 Distributive property 21. 2 ϩ (Ϫ2) ϭ 0 Additive inverse property 1 22. 3 ᎏ ϭ 1 3 Multiplicative inverse property 23. (2 ϩ 0) ϩ 3 ϭ 2 ϩ 3 Additive identity property 24. (2 ϩ 3) ϩ 4 ϭ 3 ϩ (2 ϩ 4) Commutative and associative properties of addition 25. (x ϩ 2) ϩ y ϭ (x ϩ y) ϩ 2 Commutative and associative properties of addition As a final note on the properties of real numbers, we should mention that although some of the properties are stated for only two or three real numbers, they hold for as many numbers as needed.
3(x Ϫ 10) ϭ 3x Ϫ 30 8. 3 ϩ (4 ϩ 5) ϭ (3 ϩ 4) ϩ 5 J 9. (3 ϩ 1) ϩ 2 ϭ 1 ϩ (3 ϩ 2) 9(6y) 38. 6(9y) 1 J ᎏ (3a) 39. 2 1 40. ᎏ (2a) 3 1 ᎏ (3x) 3 1 42. ᎏ (4x) 4 1 43. ᎏ (2y) 2 1 J ᎏ (7y) 44. 7 3 4 45. ᎏ ᎏ x 4 3 3 2 46. ᎏᎏ ᎏᎏx 2 3 6 5 47. ᎏ ᎏ a 5 6 2 5 48. ᎏ ᎏ a 5 2 41. J 7. 2(y ϩ 8) ϭ 2y ϩ 16 36. 5(3x) 10. (5 ϩ 2) ϩ 9 ϭ (2 ϩ 5) ϩ 9 11. (8 ϩ 9) ϩ 10 ϭ (8 ϩ 10) ϩ 9 12. (7 ϩ 6) ϩ 5 ϭ (5 ϩ 6) ϩ 7 Apply the distributive property to each of the following J 3(x ϩ 2) ϭ 3(2 ϩ x) 13. expressions.
4. 1) ϭ 1 J 5. 4 ϩ x ϭ x ϩ 4 6. 3(x Ϫ 10) ϭ 3x Ϫ 30 8. 3 ϩ (4 ϩ 5) ϭ (3 ϩ 4) ϩ 5 J 9. (3 ϩ 1) ϩ 2 ϭ 1 ϩ (3 ϩ 2) 9(6y) 38. 6(9y) 1 J ᎏ (3a) 39. 2 1 40. ᎏ (2a) 3 1 ᎏ (3x) 3 1 42. ᎏ (4x) 4 1 43. ᎏ (2y) 2 1 J ᎏ (7y) 44. 7 3 4 45. ᎏ ᎏ x 4 3 3 2 46. ᎏᎏ ᎏᎏx 2 3 6 5 47. ᎏ ᎏ a 5 6 2 5 48. ᎏ ᎏ a 5 2 41. J 7. 2(y ϩ 8) ϭ 2y ϩ 16 36. 5(3x) 10. (5 ϩ 2) ϩ 9 ϭ (2 ϩ 5) ϩ 9 11. (8 ϩ 9) ϩ 10 ϭ (8 ϩ 10) ϩ 9 12. (7 ϩ 6) ϩ 5 ϭ (5 ϩ 6) ϩ 7 Apply the distributive property to each of the following J 3(x ϩ 2) ϭ 3(2 ϩ x) 13.