The expression –8(u + 3) is equivalent to –8u – 24 after applying the distributive property. None of the other provided expressions match this equivalent form when simplified.
The question asks to select expressions that are equivalent to -8(u+3). To find equivalent expressions, we need to apply the distributive property, which states that a(b + c) = ab + ac. So, applying the distributive property to –8(u + 3), we get:
Expressions equivalent to –8(u + 3) must simplify to –8u – 24. Let's simplify the provided expressions to see if any of them are equivalent:
, which is equivalent.
–7u – 24 is not equivalent because the coefficient of u is –7, not –8.
–9u – 15 is not equivalent because the coefficient of u is –9 and the constant term is –15, not –24.
Upon checking the list of expressions, the only equivalent expression we found is –8u – 24.
When eliminating terms wherever possible to simplify the algebra and checking if the answer is reasonable, we find –8u – 24 to be the correct equivalent expression.