Solving More Systems

Warmup

Solve these without writing anything down:

Activity #1

Solving More Systems.

Below are a lot of systems of equations.

• Study the equations and answer the questions below.

(1.) Without solving, identify 3 systems that you think would be the least difficult to solve. Explain your reasoning.

(2.) Without solving, identify 3 systems that you think would be the most difficult to solve. Explain your reasoning.

(3.) Choose 4 systems to solve. At least one should be from your “least difficult” list and one should be from your “most difficult” list.

(a.) 1st system with solution: (least difficult.)

(b.) 2nd system with solution:

(c.) 3rd system with solution:

(d.) 4th system with solution:(most difficult.)

Activity #2

Match a Graph to an Equation.

• Match each graph below to its equation.

Activity #3

Solve a System of Equations.

• Read the following carefully and answer the questions that follow.

Which equation, together with   = -1.5 + 3, makes a system with one solution?

The system – 6= 4 and 3– 18= 4 has no solution.

(1.) Change one constant or coefficient to make a new system with one solution.

(2.) Change one constant or coefficient to make a new system with an infinite number of solutions.

Challenge #1

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? If not, explain your reasoning.

Challenge #2

Here are two points: (-3, 4), (1, 7).

Challenge #3

Quiz Time

https://www.ixl.com/math/grade-8/solve-a-system-of-equations-by-graphing-word-problems