Solving Systems of Linear and Quadratic Functions

• A
• B
• C
• D

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)

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)

• (5,0)

• (2,-3)

• (8,9)

Find the solution.

• (2,3) and (3,4)

• (-3,-15) and (4,-8)

• (-3,10) and (8,4)

• (-8,3) and (-4,10)

• A
• B
• C
• D

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

• -1

• 1

• 7

• -33

Find the solution.

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (0,0) and (0,0)

• (-4,2) and (-4,2)

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.

Solving a system by setting each of the equations equal to the same thing, for example, y, and then setting them equal to each other is called:

• Combining Functions

• Completing the Square

• Solving Systems Algebraically

• Finding the Discriminant