Quadratic and Linear System Solutions

If a nonlinear system contains a linear function that never touches the quadratic function, that system has...

• 2 solutions

• 1 solution

• No solutions

• Infinite solutions

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

How many solutions does this system of equations have?

• one solution

• two solutions

• no solution

• infinitely many solutions

First determine how many solutions, then select all values that represent solutions to the following system of equations graphed.

• 1

• 4

• One solution

• -3

• two solutions

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

• One

• Two

• Three

• Four

• No Solution

Solve the system of linear and quadratic equations using substitution:
y = 5
y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

Which of the following represents the first step in solving:

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:
y = x² - 4x + 6
y = x + 2

• (3, 1) and (6, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Which of the following graphs correctly represents:

y=x²

y=-2x+1

• 
• 
• 
• 

Determine the solution to the given linear-quadratic function.

• No Solution

• (3, 0)

• (2, -3)

• (-3, 2)