topic badge
CanadaON
Grade 11

Number and nature of solutions to non-linear systems

Interactive practice questions

A graph of the equations $y=x+5$y=x+5 and $x^2+y^2=25$x2+y2=25 is shown below.

How many real solutions does this system of equations have?

Loading Graph...

Easy
< 1min

A graph of the equations $y=2x+3$y=2x+3 and $\left(x-2\right)^2+\left(y-3\right)^2=4$(x2)2+(y3)2=4 is shown below.

How many real solutions does this system of equations have?

Easy
< 1min

A graph of the equations $x^2+y^2=25$x2+y2=25 and $12x+5y-65=0$12x+5y65=0 is shown below.

How many real solutions does this system of equations have?

Easy
< 1min

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

How many real solutions does this system of equations have?

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

11U.A.2.5

Solve problems involving the intersection of a linear function and a quadratic function graphically and algebraically

What is Mathspace

About Mathspace