10B Revision Lesson - 09/05

Revision Lesson

Hi 10B, today you are going to be practicing this topic to make sure you really nail it.
Once you finish feel free to move on with other revision of topics you are not confident in.

​

​Solving simultaneous equations that involves parabolas

Key concepts:

When we have a parabola and a straight line, they can intersect none, once or twice as seen below.

When solving a parabola and a straight line simultaneously, we use substitution.

Key concepts:

See example three for a practical example of no intersecting points.

Example One

You can also check these answers graphically or algebraically.
Graphically:
- Put both equations in demos and check the intersecting points












Algebraically:
- substitute an x values into the equations and balance the equations

Example Two

​You can also check these answers graphically or algebraically.
Graphically:
- Put both equations in demos and check the intersecting points













Algebraically:
- substitute an x values into the equations and balance the equations

Example Three

​You can also check these answers graphically.
- Put both equations in demos and check the intersecting points

Open Ended

Solve these equations simultaneously:

y=2x²+7x+1

and

y=-2

Give it a go!

Practice exercise 7G from your textbook.

If you are feeling confident, revise topics you did not feel confident in the last few weeks.