4. Lincoln Middle School won their football game last
week by scoring 23 points. If they scored two 7-point
touchdowns, how many 3-point field goals did they
score?
Let f represent the number of field goals.
Equation:
They scored
field goals.

3

Step-by-step explanation:

so you want to set up an equation where t is the number of touchdowns from touchdowns and f is the number of field goals.

since touchdowns are worth 7 points, 7t would be the number of points from touchdowns.

since field goals are worth 3 points, 3f would be the number of points from field goals

so 7t + 3f = 23 (total points)

plug in 2 for t, since there are 2 touchdowns

7(2) + 3f = 23

and solve for f

14 + 3f = 23

3f = 9

f = 3

They scored 3 field goals

Step-by-step explanation:

3x + 2(7) = 23

3x + 14 = 23

3x = 9

x = 3

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: