Exploring Linear Equation Writing Systems

The video tutorial introduces systems of linear equations, explaining that they consist of two or more linear equations with the same variables. It provides examples to illustrate how to write such systems from given information. The first example involves calculating golf scores for Addison and Carly, while the second example deals with Austin's purchase of fishing bait. The tutorial emphasizes understanding the problem context to form the correct equations.

What is a system of linear equations?

• A quadratic equation

• An equation with no variables

• A set of two or more equations with the same variables

• A single equation with one variable

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What makes an ordered pair a solution to a system of equations?

• It is a pair of negative numbers

• It is a pair of positive numbers

• It makes all the equations in the system true

• It satisfies at least one equation in the system

In the problem involving Addison and Carly, what does the combined score represent?

• The product of their scores

• The difference between their scores

• The average of their scores

• The sum of their scores

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CCSS.6.EE.B.7

If Addison's score is represented by X and Carly's by Y, which equation represents their combined score?

• X / Y = 186

• X * Y = 186

• X + Y = 186

• X - Y = 186

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CCSS.HSA.CED.A.3

How is Carly's score related to Addison's score?

• Carly's score is 78 less than twice Addison's score

• Carly's score is half of Addison's score

• Carly's score is twice Addison's score

• Carly's score is 78 more than twice Addison's score

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CCSS.6.EE.C.9

What is the second equation in the system for Addison and Carly's scores?

• Y = 2X + 78

• Y = 2X - 78

• Y = X - 78

• Y = X + 78

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CCSS.8.EE.C.8C

In the fishing bait problem, what does the total number of items represent?

• The difference between worms and minnows

• The number of worms

• The sum of worms and minnows

• The number of minnows

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CCSS.6.EE.B.6

If X represents worms and Y represents minnows, which equation represents the total number of items?

• X - Y = 240

• X + Y = 240

• X * Y = 240

• X / Y = 240

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CCSS.HSA.CED.A.3

How many times more worms did Austin buy compared to minnows?

• Five times as many

• Twice as many

• Three times as many

• Four times as many

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CCSS.4.OA.A.2

What is the second equation in the system for Austin's bait purchase?

• X = Y - 4

• X = 4Y

• X = 2Y

• X = Y + 4

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CCSS.8.EE.C.8C