1. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2@
REVIEW FOR TEST 4-2

2. QUESTION #1
Determine whether the given series
is arithmetic or geometric. Then
evaluate the finite series for the
specified term number.
– ………; n = 5

3. ANSWERS TO QUESTION #1
Arithmetic; -8.9

4. QUESTION #2 Given the geometric sequence 81, 27, 9, 3, 1, …, find :
a) a10 as a fraction
b) S10 as a fraction

5. ANSWERS TO QUESTION #2

6. QUESTION #3
Find the number to which this geometric series converges : …

7. ANSWER TO QUESTION #3
125

8. QUESTION #4
You deposit $4500 into the HookemandCrookem Bank. The Bank pays 5% interest compounded semi-annually. How much money will you have in the account after 10 years?

9. ANSWER TO QUESTION #4 $

10. QUESTION #5
You deposit $4500 into the HookemandCrookem Bank. The Bank pays 5% interest compounded continuously. How much money will you have in the account after 10 years?

11. ANSWER TO QUESTION #5 $

12. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
QUESTION # 6
Given the following equation :
x2 + y2 + 10x – 12y – 3 = 0,
Find the
a) center
b) radius

13. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
ANSWERS TO QUESTION #6
(-5, 6)
b) 8

14. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
QUESTION # 7
Given the following equation :
16x2 + 9y2 – 96x + 72y = 0
Find the :
a) center
b) x-radius
c) y-radius
d) focal radius (to the nearest tenth)

15. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
ANSWERS TO QUESTION #7
(3, -4) 3 4
2.6

16. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
QUESTION # 8
The ordered pairs (7, -3) and
(-5, 7) make up the endpoints
of a line segment. Find the
a) midpoint
b) distance between the points
in simple radical form

17. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
ANSWERS TO QUESTION #8
a) (1, 2) b)

18. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
QUESTION #9
Write the equation of the
parabola, in Vertex Form,
whose vertex is located at
(2, -2) and directrix has
equation x = 4.

19. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
ANSWER T0 QUESTION #9

20. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
QUESTION # 10
State whether the equation makes a circle, an ellipse, a hyperbola, or a parabola.
x2 + y2 + 4x – 18 = 0
b) x2 – 3y2 = 10
c) y = 3x2 + 2x - 4

21. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
ANSWER TO QUESTION #10
Circle
b) Hyperbola
c) Parabola

22. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2
STUDY
Sequences and Series & Conics

23. SOLUTIONS
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24. SOLUTIONS
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