Question

In the last baseball game, there were two 3-run home runs and 4 hits that each scored 2 runs. Write in algebraic expression to model the total score.

Answer 1

Let the number of runs made on the home run be x, then for the two 3-run home runs, we have 2x

Let the number of runs made in each hit be y, then for the 4 hits that each scored 2 runs, we have 4y.

Thus the algebraic expression to model the total score is 2x + 4y.

Because, there are 3 runs per home run, then x = 3 and because there are 2 runs per hit, then y = 2.

Therefore, the total score is given by 2(3) + 4(2) = 6 + 8 = 14.