Linear Quadratic System of Equations

Graph the following equations:

y= - 2x - 3

y=x²-10x +22

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Solve the depicted system algebraically. Change to y = form.

• (0,-7) and (1, 6)

• (0,-7) and (1, -6)

• (0, 7) and (1, -6)

• (-7,0) and (1, -6)

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

Determine the number of solutions to this system of equations.

• No solution

• 1 solution

• 2 solutions

• infinite solutions

Determine the number of solutions to this system of equations.

• No solution

• 1 solution

• 2 solutions

• infinite solutions

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)

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.

Determine the solution to the given linear-quadratic function.

• No Solution

• (3, 0)

• (2, -3)

• (-3, 2)

Given the system of equations: y = x² + 3x - 5 -x + y = 3 When x = -4, what is the value of y?

• -1

• 1

• 7

• -33

Determine if the point (-3,-16) is a solution to the following system:

y = 3x - 7

y = x² + 2x - 9

• 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.