1. Algebra 1 Mini Posters Systems of Linear and Quadratic Equations
May 24, 2017
Systems of Linear and Quadratic Equations
Snapshot
What are solutions?
Mini Posters

2. Systems of Linear Equations and Quadratics

3. Systems of Linear Equations and Quadratics

4. Systems of Linear Equations and Quadratics

5. Systems of Linear Equations and Quadratics
Solutions!!
Solutions to systems of linear and quadratic equations are points of intersection

6. Systems of Linear Equations and Quadratics
Solutions: Three possible cases

7. Systems of Linear Equations and Quadratics
Solutions: How are systems solved?
(How can the points of intersection be found?)
𝑦= 𝑥 2 −5𝑥+7 𝑦=2𝑥+1
Set equations equal to each other
2𝑥+1= 𝑥 2 −5𝑥+7
2) Now solve the quadratic!

8. Systems of Linear Equations and Quadratics
Solutions: How are systems solved?
(How can the points of intersection be found?)
2) Now solve the quadratic!
2𝑥+1= 𝑥 2 −5𝑥+7
−2𝑥
−2𝑥
1= 𝑥 2 −7𝑥+7 −1 −1
0= 𝑥 2 −7𝑥−6

9. Systems of Linear Equations and Quadratics
Solutions: How are systems solved?
(How can the points of intersection be found?)
2) Now solve the quadratic!
0= 1𝑥 2 −7𝑥−6
−𝑏± 𝑏 2 −4𝑎𝑐 2𝑎
−(−7)± (−7) 2 −4 1 −

10. Systems of Linear Equations and Quadratics
Solutions: How are systems solved?
(How can the points of intersection be found?)
2) Now solve the quadratic!
𝒙≈𝟕.𝟕𝟕 𝒙≈−𝟎.𝟕𝟕
Finally…. Substitute each x-value back into one of the original equations, and find y!
𝑦= 𝑥 2 −5𝑥+7 𝑦=2𝑥+1

11. Systems of Linear Equations and Quadratics
𝒙≈𝟕.𝟕𝟕 𝒙≈−𝟎.𝟕𝟕
Finally…. Substitute each x-value back into one of the original equations, and find y!
𝑦= 𝑥 2 −5𝑥+7 𝑦=2𝑥+1
First Solution!!!
𝟕.𝟕𝟕,𝟏𝟔.𝟓𝟒 𝑦=
𝑦=2 𝑥 +1

12. Mini-Posters Requirements: System of Equations written on paper
System of Equations solved w/ process
Graph of your system, w/ marking of solutions!
Optional:
Color!
Pictures or drawings!