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).

Given :

Runs scored by home team is (x + 7).

Runs scored by visiting team is (3x - 7).

To Find :

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.

Solution :

Let, number of more runs the home team scored than the visiting team is R.

R = (x + 7) - (3x - 7)

R = 14 - 2x

Now, putting value of x = 6 in above equation, we get :

R = 14 - 2( 6 )

R = 2

Hence, this is the required solution.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.