# Worksheet: Solving Systems of Quadratic Equations

In this worksheet, we will practice finding values that satisfy two quadratic equations in two variables simultaneously.

Q1:

Find all the real solutions to the following system of equations

• A and
• BThere are no solutions.
• C and
• D and
• E and

Q2:

Find all the real solutions to the system of equations

• A or , or
• B or , or
• CThere are no solutions.
• D and
• E and

Q3:

Find all the real solutions to the system of equations:

• A and , and
• B and , and
• C and , and
• D and , and
• EThere are no solutions.

Q4:

Find all the real solutions to the system of equations

• A and
• B and
• CThere are no solutions.
• D and
• E and

Q5:

Find all the real solutions to the system of equations

• A and , and
• BThere are no solutions.
• C and , and
• D and , and
• E and , and

Q6:

Find all the real solutions to the system of equations

• A and
• B and
• C and
• D and
• E and

Q7:

Find all the real solutions to the system of equations

• AThere are no solutions.
• B and , and
• C and , and
• D and , and
• E and , and

Q8:

Find all the real solutions to the system of equations

• A and , and
• B and , and
• C and , and
• DThere are no solutions.
• E and , and

Q9:

Use the graph to solve the system of equations • A and and
• B and
• CThere are no solutions.
• D and and
• E and

Q10:

Use the graph to solve the system of equations • A and
• B and
• C and
• D and
• E and

Q11:

Use the graph to solve the system of equations • AThere are no solutions.
• B and , and
• C and , and
• D and , and
• E and , and