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Laabri

Algebra 1 6-1 Independent Practice: Solving Systems by Graphing

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Last updated almost 6 years ago
17 Nsɛmmisa

Complete all of the graphing in this assignment by hand before checking your work using the embedded Desmos graphing calculator below. After checking your work, you may edit your own graphs.

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Solve the system by graphing.

Work carefully and precisely to ensure that you graphs reveal the correct solution.

As always, check your solution using substitution.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Identify the solution to the system of equations you solved by graphing in the previous item.

Write your response in the following format, with a space immediately following the comma: (5, -4)

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Solve the system by graphing.

Work carefully and precisely to ensure that you graphs reveal the correct solution.

As always, check your solution using substitution.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Identify the solution to the system of equations you solved by graphing in the previous item.

Write your response in the following format, with a space immediately following the comma: (5, -4)

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Solve the system by graphing.

Work carefully and precisely to ensure that you graphs reveal the correct solution.

As always, check your solution using substitution.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Identify the solution to the system of equations you solved by graphing in the previous item.

Write your response in the following format, with a space immediately following the comma: (5, -4)

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Identify the solution to the system of equations you solved by graphing in the previous item.

Write your response in the following format, with a space immediately following the comma: (5, -4)

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Concert Tickets: Tickets for a concert cost $10 each if you order them online, but you must pay a service charge of $8 per order. The tickets are $12 each if you buy them at the door on the night of the concert, with no service charge.

a. Write a system of equations to model the situation. Let c be the total cost. Let t be the number of tickets.

b. Graph the equations and find the intersection point.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Analysis: What does the intersection point of the system of equations you graphed in number 9 represent?

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Vocabulary: How many solutions does an inconsistent system have?

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12.

Vocabulary: How many solutions does a consistent and dependent system have?

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13.

Vocabulary: How many solutions does an consistent and independent system have?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Writing: Suppose you graph a system of linear equations. If a point is on only one of the lines, is it a solution of the system? Explain.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Reasoning: Can a system of two linear equations have exactly two solutions? Explain.

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Reasoning: Suppose you find that two linear equations are true when x = -2 and y = 3. What can you conclude about the graphs of the equations? Explain.

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17.

Reflection: Math Success