Solving Equations with Variables on Both Sides

What is the main topic of the video?

• How to choose a rental car agency

• How to write and solve real-life equations with variables on both sides

• How to convert costs to a common unit

• How to calculate rental car costs

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CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.K.1D

What is the cost structure of the first rental car agency?

• $25 per day plus 10 cents per mile

• $35 per day plus 10 cents per mile

• $35 per day plus 15 cents per mile

• $25 per day plus 15 cents per mile

Why is it important to convert costs to a common unit?

• To simplify the calculation

• To make the equation easier to solve

• To compare the costs accurately

• To avoid confusion

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CCSS.6.EE.B.7

What is the equation for the cost of the first rental car agency?

• Cost = $25 + 0.15 * miles

• Cost = $35 + 0.15 * miles

• Cost = $35 + 0.10 * miles

• Cost = $25 + 0.10 * miles

What is the equation for the cost of the second rental car agency?

• Cost = $35 + 0.10 * miles

• Cost = $25 + 0.10 * miles

• Cost = $35 + 0.15 * miles

• Cost = $25 + 0.15 * miles

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CCSS.8.EE.C.8C

What is the next step after setting the two cost equations equal to each other?

• Multiply both sides by the number of miles

• Subtract the smaller variable term from the larger one

• Add the costs together

• Divide both sides by the number of days

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CCSS.8.EE.C.8C

What is the difference in the initial charges between the two rental car agencies?

• $5

• $15

• $10

• $20

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CCSS.8.EE.C.8C

How many miles need to be driven for the costs of both agencies to be equal?

• 200 miles

• 150 miles

• 250 miles

• 100 miles

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CCSS.8.EE.C.8C

What is the new cost structure for the second example?

• $40 per day plus 10 cents per mile

• $35 per day plus 8 cents per mile

• $40 per day plus 8 cents per mile

• $35 per day plus 10 cents per mile

What is the equation for the new cost structure of the first rental car agency in the second example?

• Cost = $35 + 0.10 * miles

• Cost = $40 + 0.08 * miles

• Cost = $40 + 0.10 * miles

• Cost = $35 + 0.08 * miles