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Classwork 4-2 Worksheet 2

Last updated about 2 years ago
8 questions
1

Solve the system using substitution. Check your answer graphically.

y=2x+4
y=x+1

1

Solve the system using substitution. Check your answer graphically.

y=2x+6
y+2=\frac{3}{4}(x-6)

For the next questions, refer to the following scenario

Matt needs to decide what snack he should eat next for “Snax with Matt”. But because he’s social distancing, he can’t go to the store. So, to solve the problem, he makes two lists:

1

What food is consistent across both lists? (What food will you see no matter which list you are reading?)

1

Is this food a solution to Matt’s problem?

1

Imagine there was no food that consistently appeared on both lists. Would there still be a solution to Matt’s problem?

Equation 1 and Equation 2 want to find a nice place on the coordinate plane to have a picnic. But both of the equations are very picky. Each of them makes a list of places they will be willing to eat.

1

What location is consistent across both lists? (What (x, y) point will you see no matter which list you read?)

1

Is this location a solution to the problem of where to have the picnic? How come?

1

Equation 1 and Equation 2 are both linear equations. The equations both create lines when you graph them. Will the lines from Equation 1 and Equation 2 intersect? If so, at what (x, y)point? How do you know?