IM 8.4.14 Lesson: Solving More Systems
Solve these without writing anything down:
Below are a lot of systems of equations.
Without solving, identify 3 systems that you think would be the least difficult to solve. Explain your reasoning.A E I B F
J C G K D H L
Without solving, identify 3 systems that you think would be the most difficult to solve. Explain your reasoning.
Choose 4 systems to solve. At least one should be from your "least difficult" list and one should be from your "most difficult" list.
1st system with solution: ("least difficult")
2nd system with solution:
3rd system with solution:
4th system with solution: ("most difficult")
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.
In rectangle , side is 8 centimeters and side is 6 centimeters. is a point on and is a point on . The area of triangle is 20 square centimeters, and the area of triangle is 16 square centimeters. What is the area of triangle ?