Alg Review Test 3

Name __________________________________ Algebra Review Chapter 3 1. Graph the linear system and estimate the solution. a. y= 2x – 1 b. y = 3x y = ½x + 2 y = -2x + 5

Solve the system using any algebraic method (not matrices). Show all work. 2. 2x + 5y = 8 3. 2x – 3y = -2 4x + 3y = -12 x + y = -6

4. Graph the system of inequalities. y < -4x + 1 -x + 2y < 5

Perform the indicated operation, if possible. If not possible, state the reason. 5. –2 3 5 -4 7 5 -1 6 -2 -8 0 -9 6.

8 4 5 -1 6 -2

7. Solve the matrix for x and y. -2x 6 5 -1 -9 4 1 -8 -7 6 -13 y

8. Find the product. If it is not defined, state the reason. a. 1 -2 3 5 b. 6 4 5 4 -3 -1 0 -2 -1 2 1 3

Evaluate the determinant of the matrix. 9. –4 5 2 8

10. –1 0 5

3 2 1

1 -3 -2

11. Solve using any method. Show all work! a. 2x + 3y = -2 b. x + 4y = -26 4x + 7y = -6 -5x – 2y = -14

c. 2x – y – 5z = 4 x – y + z = -3 4x + 2y – z = 2

d. x + y + z = 3 -x + 3y + 2z = -8 5y + z = 2