5. m = r 6. 0 + 2s = 2s (nr) (mn) State whether the following conjectures are true or false. If false, provide a counterexample. 7. The product of an odd number and an even number is always odd. 8. The sum of two whole numbers is always larger than either whole number. Simplify each expression. Justify each step. 9. 2d (3) (4 10. 2y + + 5y) 11. Marcellus sent four faxes to Gem. The first fax took 14 seconds to send, the second fax 19 FAXES seconds, the third 16 seconds, and the fourth 11 seconds. Use mental math to find out how many seconds it took to fax all four documents to Gem. Explain your reasoning. 12. The first four snowfalls of the year in Shawnee’s hometown measured 1.6 inches, 2.2 inches, SNOW 1.8 inches, and 1.4 inches. Use mental math to find the total amount of snow that fell. Explain your reasoning. ____________________________________________________________________________ The Distributive Property Use the Distributive Property to evaluate each expression. 1. - 6) 2 2. 4 (12 + 3) (16 3. -3 (-7 + 2) 4. (8 + 3) (-1) 5. 5 (7 + 3) 6. -2 - 5) (8 Use the Distributive Property to rewrite each expression. (2 (h 7. + g) 8 8. 4 - 5g)
5. m (nr) = (mn) r 6. 0 + 2s = 2s State whether the following conjectures are true or false. If false, provide a counterexample. 7. The product of an odd number and an even number is always odd. 8. The sum of two whole numbers is always larger than either whole number. Simplify each expression. Justify each step. 9. 2d (3) 10. 2y + (4 + 5y) 11. FAXES Marcellus sent four faxes to Gem. The first fax took 14 seconds to send, the second fax 19 seconds, the third 16 seconds, and the fourth 11 seconds. Use mental math to find out how many seconds it took to fax all four documents to Gem. Explain your reasoning. 12. SNOW The first four snowfalls of the year in Shawnee’s hometown measured 1.6 inches, 2.2 inches, 1.8 inches, and 1.4 inches. Use mental math to find the total amount of snow that fell. Explain your reasoning. ____________________________________________________________________________ The Distributive Property Use the Distributive Property to evaluate each expression. 1. (16 - 6) 2 2. 4 (12 + 3) 3. -3 (-7 + 2) 4. (8 + 3) (-1) 5. 5 (7 + 3) 6. -2 (8 - 5) Use the Distributive Property to rewrite each expression. 7. (2 + g) 8 8. 4 (h - 5g)
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