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Lesson: Solving a Linear-Quadratic System of Equations

In this lesson, we will learn how to solve linear-quadratic systems of equations.

Question Video: Solving Systems of Linear and Quadratic Equations

03:59

Worksheet: Solving a Linear-Quadratic System of Equations • 18 Questions

Q1:

Find all of the solutions to the simultaneous equations and . Give values to two decimal places.

  • A
  • B
  • C
  • D

Q2:

Find all of the solutions to the simultaneous equations and . Give values to two decimal places.

  • A
  • B
  • C
  • D

Q3:

Find all of the solutions to the simultaneous equations and . Give values to two decimal places.

  • A
  • B
  • C
  • D

Q4:

Find all of the solutions to the simultaneous equations and .

  • A
  • B
  • C
  • D

Q5:

Find all of the solutions to the simultaneous equations and .

  • A
  • B
  • C
  • D

Q6:

Find all of the solutions to the simultaneous equations and .

  • A
  • B
  • C
  • D

Q7:

Find all of the solutions to the simultaneous equations and .

  • A , ; ,
  • B , ; ,
  • C , ; ,
  • D , ; ,

Q8:

Find the set of points of intersection of the graphs of and .

  • A
  • B
  • C
  • D

Q9:

Find the set of points of intersection of the graphs of and .

  • A
  • B
  • C
  • D

Q10:

Find the set of points of intersection of the graphs of and .

  • A
  • B
  • C
  • D

Q11:

Find the set of points of intersection of the graphs of and .

  • A
  • B
  • C
  • D

Q12:

Find the set of points of intersection of the graphs of and .

  • A
  • B
  • C
  • D

Q13:

Find the set of points of intersection of the graphs of and .

  • A
  • B
  • C
  • D

Q14:

Find the set of points of intersection of the graphs of and .

  • A
  • B
  • C
  • D

Q15:

Find the set of points of intersection of the graphs of and .

  • A
  • B
  • C
  • D

Q16:

Given that , and , find the value of .

Q17:

Use the shown graph to solve the given simultaneous equations.

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

Q18:

Use the shown graph to solve the given simultaneous equations.

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