Solving Real-World Problems with Graphing Linear Equations

This video tutorial explains how to solve systems of linear equations graphically through three examples. The first example involves comparing savings of Carlo and Martin, the second focuses on loan repayment for Sam and Peter, and the third determines the cost of veggie burgers and sausages. Each example demonstrates how to set up equations, graph them, and interpret the intersection points to find solutions.

What is the initial amount of money Karla has in her bank account?

• $20

• $40

• $100

• $10

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the equation representing Martin's bank account balance?

• y = 10x + 100

• y = 100x + 10

• y = 20x + 40

• y = 40x + 20

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CCSS.6.EE.C.9

How should the y-axis be scaled to accommodate both Karla's and Martin's y-intercepts?

• By 20s

• By 5s

• By 10s

• By 50s

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CCSS.HSF-IF.C.7A

What is the slope of Karla's line?

• 40

• 20

• 10

• 100

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CCSS.8.EE.B.5

After how many weeks will Karla and Martin have the same amount of money?

• 4 weeks

• 5 weeks

• 7 weeks

• 6 weeks

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CCSS.8.EE.C.8C

Who will save $200 faster, Karla or Martin?

• Karla

• Martin

• Neither

• Both at the same time

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the initial amount Sam borrowed from her parents?

• $700

• $600

• $500

• $400

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the equation representing Peter's loan repayment?

• y = 600 - 25x

• y = 500 - 50x

• y = 400 - 25x

• y = 700 - 50x

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CCSS.6.EE.C.9

How much does one package of veggie burgers cost?

• $10

• $4

• $8

• $6

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CCSS.6.EE.B.7

What is the y-intercept of the equation 4x + 2y = 44?

• (0, 22)

• (0, 44)

• (0, 33)

• (0, 11)

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CCSS.8.EE.B.6

CCSS.8.F.A.3