Solving Systems of Quadratics

Solve the system of equations above. Select the answer choice that is a product of the x values that are solutions.

• 1

• 3

• 7

• 8

Determine the y-value of the solution to the system of equations.

• -2

• -1

• 1

• 2

Determine the y-value that is a solution to the system of equations.

• -9

• -7

• -5

• no solution

Let x = a and x = b be the solutions to the system of equations. What is the value of a+b?

• -4

• -2

• 0

• 2

Find the solution(s).

• (-1,7) and (0,5)

• (-4,2) and (-5,8)

• (-2,6) and (10,15)

• (-2,4) and (6,12)

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above

Find the solution(s).

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (-4,-4)

• (-4,2)

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

• (-4, 2) and (-1, 5)

• (-4, -1) and (2, 5)

• (2, -1 and (-4, 5)

• (-4, 1) and (2, -1)

Solve the system. On your own piece of paper, make sure to also do a graph analysis. y = x² - x - 90 y = x + 30

• (10, 2) and (-10, 42)

• (12, 42) and (-10, 20)

• (42, 1) and (20, -1)

• (2, 12) and (4, 5)

Determine the number of solutions to this system of equations.

• No solution

• 1 solution

• 2 solutions

• infinite solutions