... f(-1)
f(x)=x_+4x-7
12. Graph the equation.
Y=-2/3x+2
13. Write an equation of the line with the given characteristics.
a. slope: -3, y-intercept: -5
b. slope: -1, point: (2, -4)
c. points: (-2, 5), (-6, 8)
14. Write equations of a line that passes through (-3, 2) and is
a. parallel to line x-y=7
b. perpendicular to the line x-y=7
15. Graph the function.
2, if -40
17. Graph the function.
y=-1/3|x-2|+2
18. Graph the linear system and tell how many solutions it has. If only one, estimate the solution and check it algebraically.
x+y=1
2x-3y=12
19. Solve the system using all three algebraic methods.
7x+y=-17
3x-10y=24
20. Graph the system of linear inequalities.
x+y<7
2x-y> or = 5
x> or =-2
21. Find the min and max values subject to the given restraints.
Objective function: C=7x+4y
Constraints: x> or = 0
x> or = 0
4x+3y< or = 24
22. Plot the ordered triple.
(-5, -1, 2)
23. Solve the system using any algebraic method.
x+3y-z=1
-4x-2y+5z=16
7x+10y+6z
24. Perform the indicated operations, if possible.
a. 2 5 -4 3 2 7
3 0 -2 + -2 -5 7
b. 8 20 -12
0.25 -8 -4 36
c. 1 10 4 8
-4 -4 -6 - -3 -8
d. 4 1 4 -2
-1 8 -3 2
4 3 0 6
e. 4 1 4 -2 6 7
-1 8 -3 2 4 -3
4 3 0
25. Solve the matrix for x and y.
x 1 -15 3
3 8 -4 = y -12
26. Find the determinant of the matrix.
4 0 1
1 5 3
2 2 0
27. Find the area of the triangle with the vertices A(-3, 2), B(-1, 4), C(-4, 3)
28. Use Cramer’s rule to solve the linear system.
x+y=2
2y-z=0
-x-y+z=-1
29. Find the inverse of the matrix.
-6 4
6 -5
30. Solve the matrix equation.
1 0 10 6 8
-6 2 X= 4 12 2
31. Use an inverse matrix to solve the linear system.
3x+2y=-8
-2x+5y=18
32. Graph the quadratic equation.
...