1. Solve the equation .

2. Perform the indicated ope rations and simplify
completely .

3. Divide. (3x^{3} +12x − 4) ÷ (x − 2)

4. Use synthetic division . (x^{5} −1) ÷ (x −1)

5. Simplify.

6. Rationalize the denominator .

7. Solve by completing the square

a) 2x^{2} + 7x = 4

b) x^{2} + 6x + 2 = 0

c) x^{2} − 4x + 8 = 0

d) x^{2} + 5x = −7

8. Solve using the quadratic formula .

a) (x + 5)(x −1) = 2

b) 5x^{2} − 3 = 14x

9. Solve the system of equations

10. Graph the solution to the inequality in two variables
(page 691):

11. Graph the solution to the system of inequalities (page
691):

12. Find the range of the quadratic function .

a) f (x) = 2x^{2} − 4x + 5

b) g(x) = −x^{2} + 6x +1

13. Graph the conic section :

a) x = −(y + 2)^{2} + 3

b) (x −1)^{2} + (y − 2)^{2} = 4

c) 4x^{2} + 4y^{2} +16x + 8y = 1

f) 6(x − 2)^{2} + 9(y + 5)^{2} = 36