5 For Exercises 50–51, find a number to make each statement true. 50. × + = × + × 12 (6 4) (12 ) (12 4) 51. × + = × + × 2 (n 4) ( n ) ( 4) 58. × Sophia used the Order of Operations to simplify 4(5 2) to 4 3. − Jose used the Distributive Property to simplify 4(5 2) to 20 8. − − Are they both correct? Explain. 59. a. Mr. and Mrs. Lee are adding a swing set to their backyard. × Their yard measures a b feet. The space for the swing set × measures a c feet. They want to figure out how much of their yard will be lawn after they add the swing set. × Mrs. Lee said, “The area of the whole yard is a b. The × area for the swing set is a c. Therefore, the area of the × × lawn is a b − a c.” Is she correct? Explain.
5 For Exercises 50–51, find a number to make each statement true. 50. 12 × (6 + 4) = (12 × ) + (12 × 4) 51. 2 × (n + 4) = ( × n ) + ( × 4) 58. Sophia used the Order of Operations to simplify 4(5 − 2) to 4 × 3. Jose used the Distributive Property to simplify 4(5 − 2) to 20 − 8. Are they both correct? Explain. 59. a. Mr. and Mrs. Lee are adding a swing set to their backyard. Their yard measures a × b feet. The space for the swing set measures a × c feet. They want to figure out how much of their yard will be lawn after they add the swing set. Mrs. Lee said, “The area of the whole yard is a × b. The area for the swing set is a × c. Therefore, the area of the lawn is a × b − a × c.” Is she correct? Explain.
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