Systems of Equations Linear and Quadratic

Which of the following is NOT a possible number of solutions to a system containing one linear function and one quadratic function?

• 1

• 2

• 3

• 0

Which of the following points is a solution to the system:
y = x² + 4x + 2
y = x + 2

• (-3, -1)

• (-1, 2)

• (1, -2)

• (2, 4)

What is the solution to the linear-quadratic system graphed in the picture.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Solve by elimination

5x+6y= -10

3x-2y= -6

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the following system:

3x + 4y + 5z = -3

5x - 2y - 3z = 25

9x - y + 4z = -12

• (3, -7, -8)

• (3, 7, -8)

• (3, -7, 8)

• No Solution

What is the solution for a linear system that contains parallel lines?

• One solution

• No solution

• Infinitely Many solutions

What is the solution for a linear system if the lines are the same line?

• One solution

• No solution

• Infinitely Many solutions

Using substitution, which of the following equations could be used to solve the system:
y = x² + 3x - 5
y = x + 3

• x² - 3x + 5 = x - 3

• x² + 3x - 5 = x + 3

• x² + 3x - 5 + x + 3 = 0

• x² + 3x - 5 = 0

Find the solution(s):
y = x² - 4x + 6
y = x + 2

• (1, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)