Graphing Systems of Linear Equations Challenges

The video tutorial introduces graphing systems of equations using word problems. It defines variables, sets up graphs, and creates equations for two scenarios: Cindy spending money and John earning money. The tutorial demonstrates graphing these equations and analyzing the graphs to solve problems, such as finding when both have the same amount of money. It concludes with a summary and practice suggestions.

What was Cindy's initial amount in her bank account?

• $20

• $180

• $200

• $150

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CCSS.7.EE.B.4A

How much money does Cindy spend each week?

• $5

• $20

• $10

• $15

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the initial amount in John's bank account?

• $180

• $20

• $200

• $150

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

How much money does John earn each week?

• $10

• $5

• $15

• $20

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CCSS.6.EE.C.9

What is the equation for Cindy's total money over time?

• y = 180 - 15x

• y = 20 + 5x

• y = 180 + 15x

• y = 20 - 5x

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CCSS.6.EE.C.9

What is the equation for John's total money over time?

• y = 180 + 15x

• y = 180 - 15x

• y = 20 + 5x

• y = 20 - 5x

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CCSS.6.EE.C.9

At what point do Cindy and John have the same amount of money?

• Week 10, $70

• Week 6, $50

• Week 8, $60

• Week 4, $40

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CCSS.8.EE.C.8C

Who has more money at week 4 and by how much?

• Cindy by $80

• John by $80

• Cindy by $40

• John by $40

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who will have more money after week 8?

• Cindy

• Both will have the same

• Neither

• John

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

How can you tell who will have more money after week 8 by looking at the graph?

• Cindy's line is higher

• John's line is higher

• Both lines are equal

• Neither line is visible

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9