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.5/6y+1/4g−7
b.5y+1/4g−7
c.5/6y+1/4g+7
d.5y+1/4g+7

Answer 1

To translate the sentence into an algebraic expression, we can break it down into smaller parts and combine them. The expression is (5/6)y + (1/4)g - 7.

Step-by-step explanation:

To translate the given sentence into an algebraic expression, we can break it down into smaller parts. We have 'five-sixths of y', which is represented by the expression (5/6)y, and 'one-fourth of g', which is represented by (1/4)g. The sentence asks for the sum of these two expressions, so we can combine them by adding them together. The expression becomes (5/6)y + (1/4)g. Finally, we subtract 7 from this sum, giving us the full algebraic expression: (5/6)y + (1/4)g - 7. Therefore, the correct answer is option a. 5/6y + 1/4g - 7.