Question

The number of runs scored by the home team at a base ball game is represented by (x + 7). The number of runs scored by the visiting team is represented by (3x - 7). Write an expression to find how many more runs the home team scored than the visiting team. Then evaluate the expression if the value of x is 6.

Answer 1

The expression to find how many more runs the home team scored than the visiting team is (x + 7) - (3x - 7). If the value of x is 6, the home team scored 2 more runs than the visiting team.

Step-by-step explanation:

To find how many more runs the home team scored than the visiting team, we need to subtract the number of runs scored by the visiting team from the number of runs scored by the home team. The expression for this is (x + 7) - (3x - 7). Let's simplify this expression:

Distribute the negative sign to the second expression: (x + 7) - 3x + 7

Combine like terms: x - 3x + 7 + 7 = -2x + 14

If we substitute x with 6, we can evaluate the expression: -2(6) + 14 = -12 + 14 = 2

Therefore, if the value of x is 6, the home team scored 2 more runs than the visiting team.

Learn more about Expression to find the difference in runs scored