Name the property used to go from step to step each time that (why?) occurs.8(x + 5) + 5x= (8x + 40) + 5x (why?)= (40 + 8x) + 5x (why?)= 40 + (8x + 5x) (why?)= 40 + (8 + 5)x (why?)= 40 + 13x = 13x + 40 (why?)
What will be an ideal response?
8(x + 5) + 5x
= (8x + 40) + 5x (Distributive property of multiplication over addition)
= (40 + 8x) + 5x (Commutative property of addition)
= 40 + (8x + 5x) (Associative property of addition)
= 40 + (8 + 5)x (Distributive property of multiplication over addition)
= 40 + 13x
= 13x + 40 (Commutative property of addition)
Mathematics
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