Solve these without writing anything down:

Write your answer in the following format:

x,y

with no spaces.

Copied for free from openupresources.org

Solve these without writing anything down:

Write your answer in the following format:

x,y

with no spaces.

Solve these without writing anything down:

Write your answer in the following format:

x,y

with no spaces.

Here are a lot of systems of equations:

A.

B.

C.

D.

E.

F.

G.

H.

I.

J.

K.

L.

Without solving, identify 3 systems that you think would be the least difficult to solve and 3 systems that you think would be the most difficult to solve. Be prepared to explain your reasoning.

Copied for free from openupresources.org

Here are a lot of systems of equations:

A.

B.

C.

D.

E.

F.

G.

H.

I.

J.

K.

L.

Choose 4 systems to solve. At least one should be from your "least difficult" list and one should be from your "most difficult" list.

Tyler was looking at this system of equations:

He said, "Just looking at the system, I can see it has no solution. If you add two numbers, that sum can't be equal to two different numbers."

Do you agree with Tyler?

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Tyler was looking at this system of equations:

He said, "Just looking at the system, I can see it has no solution. If you add two numbers, that sum can't be equal to two different numbers."

Do you agree with Tyler?

Explain your reasoning.

**Are you ready for more?**

In rectangle *ABCD*, side *AB* is 8 centimeters and side *BC* is 6 centimeters. *F* is a point on *BC* and *E* is a point on *AB*. The area of triangle *DFC* is 20 square centimeters, and the area of triangle *DEF* is 16 square centimeters. What is the area of triangle *AED*?

Do not include units (square centimeters) in your answer.

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