Quadratic / Linear Systems

Solving Quadratic / Linear Systems

By Graphing

Multiple Choice

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

y = –16x² + 64x + 80

Determine the range of the object.

• 2 < y < 49

• y < 144

• 0 < y < 144

• -1 < x < 5

Multiple Choice

Solve by the Quadratic Formula:

$$-12q^2+3q+7=0$$  

• $$\frac{-3\pm\sqrt{345}}{24}$$  

• $$\frac{3\pm\sqrt{345}}{-24}$$  

• $$\frac{3\pm\sqrt{345}}{24}$$  

• $$\frac{3\pm i\sqrt{39}}{24}$$  

Solving Systems of Quadratic / linear Equations: By Graphing

To solve systems of equations, graph each quadratic and find where they intersect. The points of intersection are the solutions.

Multiple Select

What are the solutions to the system of equations graphed below? (More then one correct answer).

• (2, 0)

• (0, 4)

• (-2,0)

• (0, -4)

• No Solution

Multiple Choice

Solve the system of equations.

• (0,-7) and (1, 6)

• (0,-7) and (1, -6)

• (0, 7) and (1, -6)

• (-7,0) and (1, -6)

Multiple Choice

Find the solution.

• (2,3) and (3,4)
• (-3,-15) and (4,-8)
• (-3,10) and (8,4)
• (-8,3) and (-4,10)

Multiple Choice

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)

Multiple Choice

How many solutions does this system of equations have?

• one solution

• two solutions

• three solutions

• no solutions

Multiple Choice

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above

Multiple Choice

How many solutions does this system of equations have?

• one solution

• two solutions

• no solution

• infinitely many solutions

Multiple Choice

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

Multiple Choice

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

• -2

• -1

• 1

• 2

Multiple Choice

Determine the "y" values of the solution:

y²-26=-x²

x-y=6

• 1 and 5

• -1 and 5

• -5 and -1

• 1 and -5