ID: 10.1.31 ID: 10.1.55
Exam 5 Review
1 of 7
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Student: _____________________ Date: _____________________
Instructor: Denise Garretson Course: Norco Math 35 Spring 2016
Assignment: Exam 5 Review
1. Find the center and the radius and then graph the circle. x2 + y2 + 4x − 6y = 23 The center is
( − 2,3)
.
(Type an ordered pair.) The radius is
6
.
Use the graphing tool to graph the circle.
ID: 10.1.31 2. Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and radius. x = (y + 4)2 − 2 Use the graphing tool to graph the equation. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The graph is a parabola with the vertex located at ( − 2, − 4) . (Type an ordered pair.) B. The graph is a circle with radius . (Simplify your answer. Type an exact answer, using radicals as needed.) The center is located at (Type an ordered pair.)
.
ID: 10.1.55
5/18/2016 8:09 AM
Exam 5 Review
2 of 7
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3. Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and radius. (x − 3)2 + (y − 3)2 = 16 Use the graphing tool to graph the equation. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The graph is a parabola with the vertex located at . (Type an ordered pair.) B. The graph is a circle with radius 4 . (Simplify your answer. Type an exact answer, using radicals as needed.) The center is located at (3,3) . (Type an ordered pair.)
ID: 10.1.57 4. Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and radius. y = 4(x + 3)2 + 4 Use the graphing tool to graph the equation. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The graph is a parabola with the vertex located at ( − 3,4) . (Type an ordered pair.) B. The graph is a circle with radius . (Simplify your answer. Type an exact answer, using radicals as needed.) The center is located at (Type an ordered pair.)
.
ID: 10.1.63
5/18/2016 8:09 AM
Exam 5 Review
3 of 7
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5. Sketch the graph of the equation. 16x2 + y2 = 64 Choose the correct graph below. A.
B.
C.
D.
ID: 10.2.11 6. Graph the ellipse. (x + 5)2 16
+
(y − 2)2 4
A.
B.
C.
D.
A.
B.
C.
D.
=1
Choose the correct graph on the right.
ID: 10.2.15 7. Graph the hyperbola. y2 4
−
x2 36
=1
Choose the correct graph on the right.
ID: 10.2.21
5/18/2016 8:09 AM
Exam 5 Review
4 of 7
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8. Select the graph of the equation. x2 − 4y2 = 36 Choose the correct graph below. A.
B.
C.
D.
ID: 10.2.23 9. Write the first five terms of each sequence whose general term is given. an =
1 n+7
a1 =
a2 =
a3 =
a4 =
a5 =
1 8 1 9 1 10 1 11 1 12
(Type an integer or a fraction. Simplify your answer.)
(Type an integer or a fraction. Simplify your answer.)
(Type an integer or a fraction. Simplify your answer.)
(Type an integer or a fraction. Simplify your answer.)
(Type an integer or a fraction. Simplify your answer.)
ID: 11.1.5
5/18/2016 8:09 AM
Exam 5 Review
5 of 7
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10. Determine the first five terms of the sequence whose general term is given. an = ( − 1)n n2 a1 =
−1
(Simplify your answer.)
a2 =
4
(Simplify your answer.)
a3 =
−9
(Simplify your answer.)
a4 =
16
(Simplify your answer.)
a5 =
− 25
(Simplify your answer.)
ID: 11.1.15 11. Find the ninth term of the arithmetic sequence whose first term is 14 and whose common difference is 3. a9 =
38
(Simplify your answer.)
ID: 11.2.9 12. Find the fourth term of the geometric sequence whose first term is 9 and whose common ratio is − 5. a4 =
− 1125
ID: 11.2.11 13. Find the twenty-ninth term of the arithmetic sequence 21, 18, 15, ... a29 =
− 63
(Simplify your answer.)
ID: 11.2.17 14. Find the fifth term of the geometric sequence 12, 4,
a5 =
4 3
, ...
4 27
(Simplify your answer. Type an integer or a simplified fraction.)
ID: 11.2.45 15. Find the sum of the first six terms of the sequence whose general term is an = − 6n. The sum of the first six terms is (Simplify your answer.)
− 126
.
ID: 11.3.35
5/18/2016 8:09 AM
Exam 5 Review
6 of 7
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16. Find the sum of the first 7 terms of the sequence whose general term is an = − 7
− n=1
n 4
=
−7
n 4
.
(Simplify your answer.)
ID: 11.3.37 17. Use the partial sum formula to find the partial sum of the given sequence. Find the sum of the first 5 terms of the geometric sequence 4, 8, 16, ... S5 =
124
ID: 11.4.3 18. Find the sum of the first seven terms of the arithmetic sequence. Use the partial sum formula to find the partial sum of the given arithmetic sequence. 5, 13, 21, .... The sum of the first seven terms of the arithmetic sequence is
203
. (Simplify your answer.)
ID: 11.4.5 19. Find the sum of the terms of the infinite geometric sequence. 18, 6, 2, .... The sum of the terms of the infinite geometric sequence is
27
. (Simplify your answer.)
ID: 11.4.13 20. Find the sum of the terms of the infinite geometric sequence. 2, −
1
1 , , .... 4 32
The sum of the terms of the infinite geometric sequence is
16 9
. (Simplify your answer.)
ID: 11.4.19 21. Find the sum of the first ten terms of the sequence − 8,2,12,...,82, where 82 is the tenth term. The sum is
370
.
ID: 11.4.23
5/18/2016 8:09 AM
Exam 5 Review
7 of 7
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22. If a1 is 6 and r is −
S3 =
39 8
3 4
, find S3 .
(Simplify your answer.)
ID: 11.4.31
5/18/2016 8:09 AM
1 of 7
https://xlitemprod.pearsoncmg.com/api/v1/print/en-us/math
Student: _____________________ Date: _____________________
Instructor: Denise Garretson Course: Norco Math 35 Spring 2016
Assignment: Exam 5 Review
1. Find the center and the radius and then graph the circle. x2 + y2 + 4x − 6y = 23 The center is
( − 2,3)
.
(Type an ordered pair.) The radius is
6
.
Use the graphing tool to graph the circle.
ID: 10.1.31 2. Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and radius. x = (y + 4)2 − 2 Use the graphing tool to graph the equation. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The graph is a parabola with the vertex located at ( − 2, − 4) . (Type an ordered pair.) B. The graph is a circle with radius . (Simplify your answer. Type an exact answer, using radicals as needed.) The center is located at (Type an ordered pair.)
.
ID: 10.1.55
5/18/2016 8:09 AM
Exam 5 Review
2 of 7
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3. Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and radius. (x − 3)2 + (y − 3)2 = 16 Use the graphing tool to graph the equation. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The graph is a parabola with the vertex located at . (Type an ordered pair.) B. The graph is a circle with radius 4 . (Simplify your answer. Type an exact answer, using radicals as needed.) The center is located at (3,3) . (Type an ordered pair.)
ID: 10.1.57 4. Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and radius. y = 4(x + 3)2 + 4 Use the graphing tool to graph the equation. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The graph is a parabola with the vertex located at ( − 3,4) . (Type an ordered pair.) B. The graph is a circle with radius . (Simplify your answer. Type an exact answer, using radicals as needed.) The center is located at (Type an ordered pair.)
.
ID: 10.1.63
5/18/2016 8:09 AM
Exam 5 Review
3 of 7
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5. Sketch the graph of the equation. 16x2 + y2 = 64 Choose the correct graph below. A.
B.
C.
D.
ID: 10.2.11 6. Graph the ellipse. (x + 5)2 16
+
(y − 2)2 4
A.
B.
C.
D.
A.
B.
C.
D.
=1
Choose the correct graph on the right.
ID: 10.2.15 7. Graph the hyperbola. y2 4
−
x2 36
=1
Choose the correct graph on the right.
ID: 10.2.21
5/18/2016 8:09 AM
Exam 5 Review
4 of 7
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8. Select the graph of the equation. x2 − 4y2 = 36 Choose the correct graph below. A.
B.
C.
D.
ID: 10.2.23 9. Write the first five terms of each sequence whose general term is given. an =
1 n+7
a1 =
a2 =
a3 =
a4 =
a5 =
1 8 1 9 1 10 1 11 1 12
(Type an integer or a fraction. Simplify your answer.)
(Type an integer or a fraction. Simplify your answer.)
(Type an integer or a fraction. Simplify your answer.)
(Type an integer or a fraction. Simplify your answer.)
(Type an integer or a fraction. Simplify your answer.)
ID: 11.1.5
5/18/2016 8:09 AM
Exam 5 Review
5 of 7
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10. Determine the first five terms of the sequence whose general term is given. an = ( − 1)n n2 a1 =
−1
(Simplify your answer.)
a2 =
4
(Simplify your answer.)
a3 =
−9
(Simplify your answer.)
a4 =
16
(Simplify your answer.)
a5 =
− 25
(Simplify your answer.)
ID: 11.1.15 11. Find the ninth term of the arithmetic sequence whose first term is 14 and whose common difference is 3. a9 =
38
(Simplify your answer.)
ID: 11.2.9 12. Find the fourth term of the geometric sequence whose first term is 9 and whose common ratio is − 5. a4 =
− 1125
ID: 11.2.11 13. Find the twenty-ninth term of the arithmetic sequence 21, 18, 15, ... a29 =
− 63
(Simplify your answer.)
ID: 11.2.17 14. Find the fifth term of the geometric sequence 12, 4,
a5 =
4 3
, ...
4 27
(Simplify your answer. Type an integer or a simplified fraction.)
ID: 11.2.45 15. Find the sum of the first six terms of the sequence whose general term is an = − 6n. The sum of the first six terms is (Simplify your answer.)
− 126
.
ID: 11.3.35
5/18/2016 8:09 AM
Exam 5 Review
6 of 7
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16. Find the sum of the first 7 terms of the sequence whose general term is an = − 7
− n=1
n 4
=
−7
n 4
.
(Simplify your answer.)
ID: 11.3.37 17. Use the partial sum formula to find the partial sum of the given sequence. Find the sum of the first 5 terms of the geometric sequence 4, 8, 16, ... S5 =
124
ID: 11.4.3 18. Find the sum of the first seven terms of the arithmetic sequence. Use the partial sum formula to find the partial sum of the given arithmetic sequence. 5, 13, 21, .... The sum of the first seven terms of the arithmetic sequence is
203
. (Simplify your answer.)
ID: 11.4.5 19. Find the sum of the terms of the infinite geometric sequence. 18, 6, 2, .... The sum of the terms of the infinite geometric sequence is
27
. (Simplify your answer.)
ID: 11.4.13 20. Find the sum of the terms of the infinite geometric sequence. 2, −
1
1 , , .... 4 32
The sum of the terms of the infinite geometric sequence is
16 9
. (Simplify your answer.)
ID: 11.4.19 21. Find the sum of the first ten terms of the sequence − 8,2,12,...,82, where 82 is the tenth term. The sum is
370
.
ID: 11.4.23
5/18/2016 8:09 AM
Exam 5 Review
7 of 7
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22. If a1 is 6 and r is −
S3 =
39 8
3 4
, find S3 .
(Simplify your answer.)
ID: 11.4.31
5/18/2016 8:09 AM
