1. Analytic Geometry FINAL EXAM REVIEW Units 1 – 5

2. 1. Subtract: (9x + 7) – ( -x + 4) 10x + 3

3. 2. Expand the binomial: (x – 5) 2 x 2 – 10x + 25

4. 3. Multiply: (1+5i)(7–6i) 37 + 29i

6. 5. The area of a rectangle is: 2x 2 – x – 3. What is the length and width of the rectangle? (2x – 3)(x + 1)

7. 6. What is the GCF of 9x 5 –12x 4 +3x 2 ? 3x 2

8. 7. Factor: 2x 2 - 8x - 24 completely. 2(x – 6)(x + 2)

9. 8. Factor: 16x 2 + 40x + 25 completely (4x + 5) 2

10. 9. What are the solutions of the equation: 2(x + 1) 2 =12?

11. 10. How many solutions and what type of solutions does this graph have? 2 real solutions

12. 11. Use the quadratic formula to solve the equation: x 2 + 5x + 1 = 0

13. 12. What is the equation in vertex form of the graph?

14. 13. What is the vertex and axis of symmetry: f(x) = -6(x – 2) 2 + 8? Vertex (2, 8) A.O.S. x = 2

15. 14. What is the vertex and axis of symmetry: f(x) = - 3x 2 + 36x – 101? Vertex (6, 7) A.O.S. x = 6

16. 15. Write the equation that best models this data (quadratic regression): y = -62.6x 2 + 152.82x + 0.36

17. 16. A missile is launched along the path determined by the equation f(x) = -2x 2 + 72. A plane is flying at a height of 600 feet. Is the plane in danger? Explain how you know. No, the maximum height of the missile is 72.

18. 17.  ABC   XYZ, which side is congruent to side CA? Side ZX

19. 18. What is the m  K? 43 

20. 19.  1 and  2 are supplementary. Suppose that m  1 = 40 and m  2 = 2x + 20. What is the value of x? x = 60

21. 20. E is the midpoint of segment AC and segment BD. Which of the one of the 5 ways can you prove these triangles congruent? Yes, SAS.

22. 21–40… TOMORROW