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Assignment # ______ Distributive Property (Part 2) Name ________________________ Standard: AF 1.3 Simplify expressions using the D.P. Pre-Algebra, Period _________ Date _________________________ Distributive Property: to multiply a sum or difference, make sure the outside number says, “Hi” to everyone inside. Arithmetic 3(2 + 6) = 3(2) + 3(6) (2 + 6)3 = 2(3) + 6(3) 6(7 – 4) = 6(7) – 6(4) (7 – 4)6 = 7(6) – 4(6) Algebra a(b + c) = ab + ac (b + c)a = ba + ca a(b – c) = ab – ac (b – c)a = ba – ca Use the distributive property to write an equivalent expression. Then evaluate the expression. Example: 3(3 + 4) = _______3(3) + 3(4)______ = ___9 + 12___ = ___21____ equivalent expression simplified 1. 4(5 + 3) = ______________________ = ____________ = ___________ equivalent expression simplified 2. 6(2 + 5) = ______________________ = ____________ = ___________ equivalent expression simplified 3. 3(5 + 6) = ______________________ = ____________ = ___________ equivalent expression simplified 4. 5(100 + 8) = ______________________ = ____________ = ___________ equivalent expression simplified 5. (50 + 2)6 = ______________________ = ____________ = ___________ equivalent expression simplified 6. 8(6 – 2) = ______________________ = ____________ = ___________ equivalent expression simplified 7. Which equation shows the distributive property? A 4(3 + 6) = 12 + 24 B (4 + 3) + 6 = 6 + (4 + 3) C (12 + 4) + 0 = 12 + 4 D (12 + 4) + 6 = 12 + (4 + 6) 8. Which expression is the result of applying the distributive property to 6 x (100 + 3)? A 6 x 103 B 6 x 118 C 600 + 3 D 600 + 18 Distributive Property: to multiply a sum or difference, make sure the outside number says, “Hi” to everyone inside. Example: 3(4x + 5) = 3(4x) + 3(5) = 12x + 15 Simplify the expression. 9. 4(x + 3) = 10. 5(4x + 3) = 11. 3(6x + 5) = 12. 7(x + 8) = 13. 12(2x + 5) = 14. –3(x + 7) = 15. 5(x – 8) = 16. 5(2x – 4y) = 17. 6(3x – 2y) = 18. Which expression is equivalent to –3(x + 4)? A –3x + 4 B –3x + 12 C –3x – 12 D –3x – 3 C 4x – y D x – 4y C 2(x + 10) D x + 20 19. Which expression is equivalent to 4x – 4y? A 4xy B 4(x – y) 20. Which expression is equivalent to 2x + 20? A 40x B 2x + 10