Systems of Linear and Quadratic Equations

Fifth step is to find the values of y by plugging in x values into one of the original equations. Which are correct?

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CCSS.HSA.REI.C.7

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above

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CCSS.HSA.REI.C.7

How many solutions does this system of equations have?

• one solution

• two solutions

• three solutions

• no solutions

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CCSS.HSA.REI.C.7

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

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CCSS.HSA.REI.C.7

The system of a linear and a quadratic function can have the following number of solutions, EXCEPT

• No solution

• 1 solution

• 2 solutions

• more than 2 solutions

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CCSS.HSA.REI.C.7

Solve the system graphically.
y-3=(x-1)²
2x+y=5

• (-1,7) and (1,3)

• (7,-1) and (3,1)

• (1,-7) and (-1,3)

• (-1,7) and (1,-3) 

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CCSS.HSA.REI.C.7

How many solutions does this system of equations have?

• one solution

• two solutions

• no solution

• infinitely many solutions

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CCSS.HSA.REI.C.7

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

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CCSS.HSA.REI.C.7

Find the solution by graphing on DESMOS.

• (2,3) and (3,-15)

• (-3,-15) and (4,-8)

• (-3,15) and (8,4)

• (-8,4) and (-4,10)

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CCSS.HSA.REI.C.7

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x² - 4

• Yes, because it works in one equation.

• Yes, because it works in the both equations.

• No, because it works in neither equation.

• No, because it works in only one equation.

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CCSS.HSA.REI.C.7