ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2

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Presentation transcript:

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

QUESTION #1 Determine whether the given series is arithmetic or geometric. Then evaluate the finite series for the specified term number. 2 + .11 – 1.78 - ………; n = 5

ANSWERS TO QUESTION #1 Arithmetic; -8.9

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

ANSWERS TO QUESTION #2

QUESTION #3 Find the number to which this geometric series converges : 50 + 30 + 18 + 10.8 + …

ANSWER TO QUESTION #3 125

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?

ANSWER TO QUESTION #4 $7373.77

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?

ANSWER TO QUESTION #5 $7419.25

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

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

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-2 QUESTION # 7 Given the following equation : 16x2 + 9y2 – 96x + 72y + 144 = 0 Find the : a) center b) x-radius c) y-radius d) focal radius (to the nearest tenth)

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

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

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

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.

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

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

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

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

SOLUTIONS PAGE 1

SOLUTIONS PAGE 2