Math 1090 Midterm 1 Review

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1. Solve for t .

Math 1090 Midterm 1 Review

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 5 y 3 x − 4 y + z = − 2 = 15 = 3 .

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

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5. Graph the solution set for the following system of inequalities.

x x ≥ ≤ 2 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 8 6 0 − 8 6   .

(a) Compute AB if possible.

(b) Compute B T A T if possible.

7. Let M =   3 2 1 1 0 − 2 1 1 2   . Find M − 1 .

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