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Laabri

5.4 Solve Special Systems

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Last updated about 2 years ago
11 Nsɛmmisa
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Today's Lesson: Solving Special Systems
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Partner Rounds!
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Independent Practice
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Would you rather live in a big city or a small town?

Would you rather have six months of spring or six months of summer?

Solving Special Systems

Objectives:

  • I can determine the number of solutions of a system.

  • I can solve a system of linear equations with any number of solutions.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Solve the system by graphing to find the solution.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Solve the system by graphing to find the solution.

Hint: Rearrange each equation into slope-intercept form (y=mx+b), then graph.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Solve the System of Equations.

You may choose to solve the system by graphing, algebraically with substitution or elimination.

*Be prepared to explain why you chose your method.

What is the solution to this system?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Solve the system. Explain your choice of method.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Solve the system. Explain your choice of method.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Solve the system of linear equations, Check your solution.

If no solution, write "no solution"

If Infinite solutions, write "Infinitely many solutions"

If it has one solution, Write the solution as an ordered pair (x, y)

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Solve the system of linear equations, Check your solution.

If no solution, write "no solution"

If Infinite solutions, write "Infinitely many solutions"

If it has one solution, Write the solution as an ordered pair (x, y)

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Create a system of equations that has infinitely many solutions.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Create a system of equations that has no solution.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Use only the slopes and y-intercepts of the graphs of the equations to determine the number of solutions of the system.

Equation #1:

Slope:

Y-intercept:

Equation #2:

Slope:

Y-intercept:

Solution to the system:

Finished with all greens?

Tonight's HW

Go to Khan Academy and complete exercise "Number of solutions to a system of equations graphically"