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Solving Systems of Equations

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4.3 – 4.4 Formative Review
Name:
Solve the following systems of equations using substitution.
1) y = -3x + 2
X–y=2
3)
2)
y=3
-4x + 6y = 18
4)
2x + y = 7
x= -2y = 2
x = -2y + 4
2x + 4y = 8
Solve the following systems using ANY method.
5) -2x + y = -11
4x + 4y = 4
6)
y=x+4
5x + 3y = -4
8)
9)
9x + 3y = -7
y = -3x + 4
y=¼x+6
3x + y = -7
7) -8x – 10y = -4
9x + 3y = -12
Solve the following word problems. Be sure to define your variables, write the equations,
10) In a talent show of singing and comedy acts, singing acts are 5 minutes long and comedy
acts are 3 minutes long. The show has 12 acts and lasts 50 minutes. How many singing acts
and how many comedy acts are in the show?
11) At the end of the 2000 baseball season, the New York Yankees and the Cincinnati
Reds had won a total of 31 World Series. The Yankees had won 5.2 times as many World
Series as the Reds. How many World Series did each team win?
12) During the National Football League’s 1999 season, Troy Aikman, the quarterback
for the Dallas Cowboys, earned $0.467 million more than Deion Sanders, the Cowboys
cornerback. Together they cost the Cowboys $12.867 million. How much did each player
make?
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