Topics
2. Quadratic Functions
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United States of AmericaVirginia
Algebra 2

2.07 Linear-quadratic systems

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

A system of equations consists of a straight line and a quadratic.

What is the maximum possible number of real solutions to this system?

Easy
< 1min

A graph of the equations $y=2x^2+4x+2$y=2x2+4x+2 and $y=6-x^2$y=6−x2 is shown below.

How many real solutions does this system of equations have?

Easy
< 1min

A graph of the equations $y=x^2-3x+1$y=x2−3x+1 and $y=-x^2-3x+1$y=−x2−3x+1 is shown below.

How many real solutions does this system of equations have?

Easy
< 1min

Which of the following is the graph of a system of equations with zero solutions?

Easy
< 1min
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Outcomes

A2.EI.3

The student will solve a system of equations in two variables containing a quadratic expression.

A2.EI.3a

Create a linear-quadratic or quadratic-quadratic system of equations to model a contextual situation.

A2.EI.3b

Determine the number of solutions to a linear-quadratic and quadratic-quadratic system of equations in two variables.

A2.EI.3c

Solve a linear-quadratic and quadratic-quadratic system of equations algebraically and graphically, including situations in context.

A2.EI.3d

Verify possible solution(s) to linear-quadratic or quadratic-quadratic system of equations algebraically, graphically, and with technology to justify the reasonableness of answer(s). Explain the solution method and interpret solutions for problems given in context.

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