1. Solve for t .
3
2 t − 6 =
2 t − 1
.
5
2.
(a) Find the slope of the line through the two points ( − 5 , 3) and (1 , 1).
(b) Write the equation of this line.
(c) Graph this line on the given axes.
10 y 5
K10 K5
K5
0
K10
5 x
10
1

3. Solve the following system of equations.
− x + y + 2 z = − 2
5 y = 15
3 x − 4 y + z = 3 .
4. Van’s Furniture Store sells a popular rocking chair. They’ve discovered, through market analysis, that the demand equation is 2 p + q = 740 for this chair, and their supply equation is p = 2 q − 530. Given this information, what price should they charge for a rocking chair? How many chairs will they sell at this price?
2

5. Graph the solution set for the following system of inequalities.
x ≥ 2 x ≤ 6 y ≤ x + 1
5 x + 4 y ≥ 10
10 y 5
K10 K5
K5
0
K10
5 x
10
3

6. Let A =
9
7
1
−
7
1 8
 and B =

5 0
8 − 8
6 6


.
(a) Compute AB if possible.
(b) Compute B T A T if possible.

7. Let M =

3 1 0
2 − 2 1
1 1 2


. Find M
− 1
.
4