Illustrative Math - Algebra 1 - Unit 2- Lesson 12

Here are two equations:Equation 1: 6x+4y=34Equation 2: 5x-2y=15Decide whether each (x,y) pair is a solution to one equation, both equations, or neither of the equations.

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• (5,5)
• (3,2)

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Here are two equations:Equation 1: 6x+4y=34Equation 2: 5x-2y=15Is it possible to have more than one (x,y) pair that is a solution to both equations? Explain or show your reasoning.

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8.EE.8.a

8.EE.8.b

A.CED.3

A.REI.6

Explain or show that the point (5,-4) is a solution to this system of equations:

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8.EE.8.b

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Andre does not understand why a solution to the equation 3-x=4 must also be a solution to the equation 12=9-3x.Write a convincing explanation as to why this is true.

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8.EE.8.a

8.EE.8.b

A.CED.3

A.REI.6

Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation 4c+6v=80 describes the relationship between the number of cars c and number of vans v that can transport exactly 80 students. Explain how you know that this graph represents this equation.

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8.EE.8.a

8.EE.8.b

A.CED.3

A.REI.6