1-4 Practice The Distributive Property Use the Distributive Property to rewrite each expression. Then evaluate. 1. 9(7 + 8) 2. 7(6 4) 3. (4 + 6)11 – 4. 9 499 5. 7 110 6. 16 • • Use the Distributive property to rewrite each expression. Then simplify. 7. (9 8. (5y 3)7 9. 15 – p)3 – 10. 16(3b 0.25) 11. + 4) 12. (c 4)d m(n – – Simplify each expression. If not possible, write simplified. 13. + 14w 6w 14. 3(5 + 6h) 15. 12 + 9 w – 16. 25 17 17. 3 + 6a + 2 18. 4(6p + 2q 2p) – – Write an algebraic expression for each verbal expression. Then simplify, indicating the properties used. 4 times the difference of squared and increased by the sum of squared and 2g 19. f g, f 3 times the sum of and squared plus 5 times the difference of 2x and 20. x y y 21. DINING OUT The Ross family recently dined at an Italian restaurant. Each of the four family members ordered a pasta dish that cost $11.50, a drink that cost $1.50, and dessert that cost $2.75. a. Write an expression that could be used to calculate the cost of the Ross’ dinner before adding tax and a tip. b. What was the cost of dining out for the Ross family?
1-4 Practice The Distributive Property Use the Distributive Property to rewrite each expression. Then evaluate. 1. 9(7 + 8) 2. 7(6 – 4) 3. (4 + 6)11 4. 9 • 499 5. 7 • 110 6. 16 Use the Distributive property to rewrite each expression. Then simplify. 7. (9 – p)3 8. (5y – 3)7 9. 15 10. 16(3b – 0.25) 11. m(n + 4) 12. (c – 4)d Simplify each expression. If not possible, write simplified. 13. w + 14w – 6w 14. 3(5 + 6h) 15. 12 + 9 16. 25 – 17 17. 3 + 6a + 2 18. 4(6p + 2q – 2p) Write an algebraic expression for each verbal expression. Then simplify, indicating the properties used. 19. 4 times the difference of f squared and g, increased by the sum of f squared and 2g 20. 3 times the sum of x and y squared plus 5 times the difference of 2x and y 21. DINING OUT The Ross family recently dined at an Italian restaurant. Each of the four family members ordered a pasta dish that cost $11.50, a drink that cost $1.50, and dessert that cost $2.75. a. Write an expression that could be used to calculate the cost of the Ross’ dinner before adding tax and a tip. b. What was the cost of dining out for the Ross family?
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