Assignment: Advanced Algebra Module Problem Set

1.) Given the following two points, write the equation of the line that goes through the two points. Show all your work.

(-3, 3) and (2, -7)

2.) Given the two systems of equations shown below, determine which system would be easiest solved using elimination and which using substitution.

Explain why.

System ASystem B

3x - 2y = 7 y = - 2/3 x + 8
-4x - 6y = -5 2x - 3y = 12

3.) Solve the two systems of equations in #2. Show all your steps/work.

4.) Solve the following system of equations in 3 variables. Show all your steps/word.

x - 2y -z = 8
2x - 3y + z = 23
4x - 5y + 5z = 53

5.) Explain the three types of solutions of system of equations can have?