Question

Translate the sentence below to an algebraic expression. Use at least one sentence stem to explain your thinking.

"The sum of five-sixths of y and one-fourth of g, minus 7."

A) (5/6)y + (1/4)g - 7
B) (5/6)y - (1/4)g - 7
C) (5/6)y + (1/4)g + 7
D) (5/6)y - (1/4)g + 7

Answer 1

The algebraic expression for 'The sum of five-sixths of y and one-fourth of g, minus 7' is (5/6)y + (1/4)g - 7.

Step-by-step explanation:

To translate the sentence 'The sum of five-sixths of y and one-fourth of g, minus 7' into an algebraic expression, we can break it down:

Five-sixths of y can be written as (5/6)y.

One-fourth of g can be written as (1/4)g.

The sum of (5/6)y and (1/4)g can be written as (5/6)y + (1/4)g.

Finally, we subtract 7, giving us the expression (5/6)y + (1/4)g - 7.

So, the correct algebraic expression is (5/6)y + (1/4)g - 7.