1. For the matrix:  perform following row operation:

modify second row according to rule Row2 → Row2 - 3Row1
(change second row to result of operation: Row2 - 3Row1)

2. Solve system of equations. Use any technique.
x + 2y = 1
2x + y = 8

3. What system of equations represents this augmented matrix?

Find solutions for x and y using any technique.

4. Office desk costs $260 and a chair costs $80.Total number of desks and chairs is 17. How many desks and how many chairsbought the company if total expenses were $2,260? Create system of two equations with x and y and show solution.

5. Solve the linear inequality graphically (show graph of border line and shade the portion that satisfy the inequality)
5x - 3y ≤ 15

6. Solve the linear inequality graphically (show graph of border line and shade the region that satisfy the inequality)
4x + y ≥ 4

7. Solve the system of two inequalities graphically (graph each border line and shade the region that holds solution for both inequalities)
2x -5y ≤10
x + y≥5

8. Solve the system of inequalities graphically and find the coordinates of each corner point.
2x - y ≤ 2
2x + y ≥ - 2
Y ≤ 4

9. A Virginia license plate consists of three letters followed by four digits. How many such plates are possible?