Solving by Combining Like Terms
During a volleyball game, each team averages 2 touches for every volley. Create an equation that models the total number of touches given a certain number of volleys.
y = 2x
2(x + 5) = 14
x = 2
6 = (2x)/(7)
x = 21
The Los Angeles Chargers start their offensive possession on their own 35-yard line.
They run the ball for 5 yards on 1st down, endure a 3-yard sack on second, and convert their 3rd down attempt with a 13-yard pass.
Create an equation that models these gains. Bonus point for determining the exact yard line on the field they end up at!
35 + 5 - 3 + 13 = 50
They are on the 50-yard line
6/7 xx 6/(7)
(6 xx 6)/(7 xx 7) = 36 / 49
Lebron James won his 3rd MVP during the 2011-2012 NBA season while averaging 27.1 Points Per Game
Write an equation that models his Points Per Game:
y = 27.1x
Where "x" is the number of games played during the season and "y" is the total number of points scored
6x + 7 + 6 + 7x = 26
13x + 13 = 26
13x = 13
x = 1
Michael Jordan won a total of 6 NBA championships during his career. During that time, Jordan played in 35 Finals games and recorded 1176 points.
Calculate his career Finals points per game average.
1176 / 35 = 33.6
(x + 6) / -7 = 67
x + 6 = -469
x = -475
Steph Curry has averaged 4 three-point baskets per game throughout his career (4 3PG). Steph has played in a total of 1026 games so far:
Create an equation that models the total number of POINTS Curry has scored from 3-pointers in his career, and solve.
y = 12x
Where 12 is the number of points per game (3 * 4 = 12) and "x" is the number of games played.
y = 12 (1026)
y = 12312
x xx 6/7 = 7/6
49 / 36