Analytic Geometry FINAL EXAM REVIEW Units 1 – 5. 1. Subtract: (9x + 7) – ( -x + 4) 10x + 3.

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Presentation transcript:

Analytic Geometry FINAL EXAM REVIEW Units 1 – 5

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

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

3. Multiply: (1+5i)(7–6i) i

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

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

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

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

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

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

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

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

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

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

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

16. A missile is launched along the path determined by the equation f(x) = -2x 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.

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

18. What is the m  K? 43 

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

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.

21–40… TOMORROW