Solving Systems of Equations

Diego visits a fast food restaurant and orders tacos and burritos. Given the calorie content of each item and the total number of items and calories consumed, the video tutorial demonstrates how to define variables, set up equations, and solve them using substitution to find the number of tacos and burritos ordered. The solution is verified by checking if it satisfies the initial conditions.

What is the total number of items Diego ordered?

• 13

• 10

• 15

• 20

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CCSS.6.EE.B.7

How many calories does each taco contain?

• 400

• 100

• 300

• 200

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CCSS.HSA.CED.A.3

What is the equation representing the total number of items ordered?

• t + b = 20

• t + b = 15

• t + b = 13

• t + b = 10

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which method is used to solve the system of equations?

• Substitution

• Matrix

• Graphing

• Elimination

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the first step in solving the equation using substitution?

• Multiply both sides by 2

• Divide both sides by 2

• Subtract b from both sides

• Add b to both sides

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CCSS.7.EE.B.4A

How many burritos did Diego order?

• 8

• 7

• 5

• 6

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CCSS.6.EE.C.9

What is the equation used to find the number of tacos after finding the number of burritos?

• t = b - 13

• t = 13 - b

• t = b + 13

• t = 13 + b

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CCSS.6.EE.B.7

How many tacos did Diego order?

• 5

• 4

• 7

• 6

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CCSS.6.EE.B.6

What is the total calorie count of the items Diego ordered?

• 7,500

• 5,260

• 4,000

• 6,000

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the purpose of verifying the solution?

• To ensure the solution satisfies both equations

• To find an alternative solution

• To check if the solution is unique

• To simplify the equations further

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6