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Basic Operations and Equivalent Expressions Form

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Instructions and help about equivalent expressions worksheet with answers

okay so on this paper we are going to write equivalent expressions so on number one we've got 24 a plus 56 b so what we need to do is we need to factor out the greatest common factor between um these two numbers that they have in common so you got to think about what your factors are that equal 24 and 56. so the greatest common factor in this case would be eight and then we know that eight times what number will give us twenty-four if you said three then you're correct and then we can't forget our um variable which is a so 3a we've got addition and then we've got 56b well 8 will go into 56 seven times and then can't forget our variable b so an equivalent expression to 24a plus 56b would be 8 times 3a plus 7b because again we're going we're applying the distributive property for number two we've got seven times two x plus nine so we're going to multiply seven times two and get fourteen x and seven times nine which is 63. for number three we've got y plus y plus y well there's an underst

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