Question

Nathaniel writes the general form of the equation gm = cm + rg for when the equation is solved for m. He uses the general form to solve the equation –3m = 4m – 15 for m. Which expression shows what Nathaniel will actually evaluate?

4 + 15 – 3
4 – 15 + 3
StartFraction negative 15 Over negative 3 minus 4 EndFraction.
–15 – negative 15 minus StartFraction negative 3 Over 4 EndFraction.

Answer 1

Solve gm = cm + rg for m: m = rg/(g − c). For −3m = 4m − 15, g = −3, c = 4, and rg = −15, so Nathaniel evaluates (−15)/(−3 − 4). Hence option 3.