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Alg 1.31.19 GOFO & Graph this system of inequalities:

Explore linear and quadratic systems through graphing and algebraic methods. Utilize Desmos activities, analyze pest control pricing scenarios, and solve equations involving skeet shooting dynamics.

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Alg 1.31.19 GOFO & Graph this system of inequalities:

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  1. Alg 1.31.19 GOFO & Graph this system of inequalities: A1.A.REI.D.6 Explain why the xcoordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the approximate solutions using technology.

  2. AGENDA *Examples of linear and quadratic systems by graphing and algebraically *Desmos Activity *Battle of Bizz and IXLs

  3. Baker’s Pest charges a $45 inspection fee and $50 per month. Allen’s Pest charges $30 per month with a $100 initial fee. When will the two companies charge the same amount? Think back: How did we solve LINEAR systems of equations?

  4. Graph Substitution Elimination Baker’s Pest charges a $45 inspection fee and $50 per month. Allen’s Pest charges $30 per month with a $100 initial fee. When will the two companies charge the same amount?

  5. Ex1 from EOC practice Can we solve a Linear/Quadratic System the same way?

  6. Substitution: Graphing:

  7. Substitution: Graphing:

  8. Ex2 Justin is skeet shooting. The height of the skeet is modelled by the equation 2 325 2 + +−= t th , where h represents the height in metres t seconds after the skeet is released. The path of Justin’s bullet is modelled by the equation 1 .531 += th , with the same units. How long will it take for the bullet to hit the skeet? How high off the ground will the skeet be when it is hit?

  9. Graphing Justin is skeet shooting. The height of the skeet is modelled by the equation 2 325 2 + +−= t th , where h represents the height in metres t seconds after the skeet is released. The path of Justin’s bullet is modelled by the equation 1 .531 += th , with the same units. How long will it take for the bullet to hit the skeet? How high off the ground will the skeet be when it is hit?

  10. Substitution Justin is skeet shooting. The height of the skeet is modelled by the equation 2 325 2 + +−= t th , where h represents the height in metres t seconds after the skeet is released. The path of Justin’s bullet is modelled by the equation 1 .531 += th , with the same units. How long will it take for the bullet to hit the skeet? How high off the ground will the skeet be when it is hit?

  11. Substitution Justin is skeet shooting. The height of the skeet is modelled by the equation 2 325 2 + +−= t th , where h represents the height in metres t seconds after the skeet is released. The path of Justin’s bullet is modelled by the equation 1 .531 += th , with the same units. How long will it take for the bullet to hit the skeet? How high off the ground will the skeet be when it is hit?

  12. Battle of the Bizz & IXLs 25 mins

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