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Which situation correctly represents the algebraic expression 4 + 5g?

A) Adding 4 to 5 times the value of g
B) Multiplying 4 by 5 and then adding g
C) Adding 5 to 4 times the value of g
D) Adding 4 and 5, then multiplying by g

1 Answer

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Final answer:

The algebraic expression 4 + 5g is correctly represented by A) Adding 4 to 5 times the value of g. This means the value of g is multiplied by 5, and then 4 is added to that product.

Step-by-step explanation:

The algebraic expression in question is 4 + 5g. When analyzing the given options, we see that each describes a different operation involving the numbers 4 and 5, and the variable g. To determine which situation correctly represents the expression, we consider that in an algebraic expression, the operations should be performed following the order indicated by the expression itself.

Looking closely at the expression 4 + 5g, it tells us to first multiply 5 by the variable g and then add 4 to the result of that multiplication. Therefore, the correct situation that represents the expression is A) Adding 4 to 5 times the value of g. This means that if the value of g is known, we would calculate 5 times g and then add 4 to get the final result.

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