Solve the systems using elimination



Algebra I Review: Solving Systems and Quadratics

Solve the systems using elimination.

1) 3x + 5y = 12 2) 2x – 3y = – 4 3) 4x – 2y = 12 4) 3x + 2y = 9

x + 3y = 20 5x + 6y = 35 2x - y = 6 3x + 4y = 3

5) 6x + 5y = -21 6) 15x – 10y = 43 7) 3x – y = 9 8) 4x – 7y = –30

2x + 3y = 5 -3x + 2y = –1 x + 2y = –4 5x – 7y = –34

Solve the systems using substitution.

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12) Explain how solving systems of equations is useful in Geometry as it pertains to parallel and intersecting lines in the coordinate plane:

Factor each quadratic. Solve if possible.

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25) When you factor and solve a quadratic equation, what do the roots tell you about the graph of the function?

26) Explain why some solutions to a quadratic may not be valid in the context of geometric relationships and structures. What are those invalid solutions called?

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