The Distributive Property | Felician University

University:
Felician University
Course:
MATH-160 | College Algebra
Academic year:

2019
Views:

181

Pages:

2
Author:

SpaceCadet101

**The Distributive Property** Algebraic Expressions, Chapter 2. Notes **The Distributive Property:** Recall: The distributive property states that: a(b + c) = ab + ac or a(b - c) = ab - ac **Examples:** **Directions: Simplify each expression by distributing.** 1. 7(x + 5) 7x + 35 2. 5w(w - 4) 5w² - 20w 3. -5m(m - 5) -5m² + 25m 4. 9(2 - 9a) 18 - 81a 5. -2(x + 7) -2x - 14 6. 2(y + 3) 2y + 6 7. -7(3 - 5m) -21 + 35m 8. 3(2n + 8) 6n + 24 9. -12(c + 4) -12c - 48 10. -2(4k + 5) -8k - 10 11. -(k - 2) -k + 2 12. 4(10 - 7p) 40 - 28p 13. 9(2r - 7) 18r - 63 14. -(5k + 4) -5k - 4 15. 4/9(3/8w + 10) 1/6w + 40/9 **RIDDLE: Why didn't the quarter roll down the hill with the nickel?** **Directions:** Simplify each expression by either combining like terms or distributing. After completing each set, find matching answers. One will have a letter and the other a number. Write the letter in the matching numbered box at the bottom of the page. **SET 1** M. 4(x + 7) = 4x + 28 D. 9x - 22 - 5 - 12x = -3x - 27 N. -5(x - 9) = -5x + 45 **SET 2** A. 5n + 14 - 11n - 2 = -6n + 12 E. -4(n + 8) = -4n - 32 C. 10n - 7n + 12n + 10 = 15n + 20 R. 10(n - 5) = 10n - 50 T. -11n - 10n + 2n + 1 = -19n + 1 **SET 3** S. 3(a + 8) = 3a + 24 M. -2(a - 8) = -2a + 16 E. -2(a - b) = -2a + 2b L. 3 - 17 - 9a + 2a = -7a - 14 I. 4(2a + 1) = 8a + 4 **ANSWER:** 1 2 3 4 5 6 7 8 9 10 11 12 I T H A D M O R E C E N T S !