Linear-Quadratic Systems of Equations

• A

• B

• C

• D

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)

When solving linear-quadratic systems algebraically, which method will we be using?

• Substitution

• Elimination

• Graphing

• Quadratically

Which point is a solution to the system of equations ?

• (0,3)

• (5,0)

• (2,-3)

• (8,9)

Which of the following equations could be used to solve:
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

Given the system 
y = x² + 3x - 5
y = x + 3
Write the substitution equation (x² + 3x - 5 = x + 3) in standard form.

• x² + 4x - 2 = 0

• x² - 2x + 8 = 0

• x² + 2x - 8 = 0

• x² + 4x - 8 = 0

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

Find the solution.

• (2,3) and (3,4)

• (-3,-15) and (4,-8)

• (-3,10) and (8,4)

• (-8,3) and (-4,10)

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

• (-1,-5)

• (5,-5)

• (-1,-5) and (5,-5)

• (5,5)