math eval 5

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yCbyyl

Mathematics

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please look at the attachment below.
















This evaluation will cover the lessons in this unit. It is open book, meaning you can use your textbook, syllabus, and other course materials. You will need to understand, analyze, and apply the information you have learned in order to answer the questions correctly. To submit the evaluation by mail, follow the directions on your Enrollment Information Sheet. To take the evaluation online, access the online version of your course; use the navigation panel to access the prep page for this evaluation and follow the directions provided. You may use your calculator on this unit evaluation.

Select the response that best completes the statement or answers the question.

page1image7784

_____

_____

_____

1. Find the solution set of this equation:

a. x=1
b. x=3
c. x=3or–3 d. no solutions

2. Find the solution set of this equation:

a. no solutions b. x=–2
c. x=–2or–3 d. x=–3

3. Find the solution set of this equation: a. x  2 or 2

9

b. no solutions c. x2

9

d. x=2

x2  3x  x  3 .

Unformatted Attachment Preview

Name _________________________________ I.D. Number _______________________ Unit 5 Evaluation Precalculus: Analytic Geometry & Algebra (MTHH 043 059) This evaluation will cover the lessons in this unit. It is open book, meaning you can use your textbook, syllabus, and other course materials. You will need to understand, analyze, and apply the information you have learned in order to answer the questions correctly. To submit the evaluation by mail, follow the directions on your Enrollment Information Sheet. To take the evaluation online, access the online version of your course; use the navigation panel to access the prep page for this evaluation and follow the directions provided. You may use your calculator on this unit evaluation. Select the response that best completes the statement or answers the question. _____ 1. Find the solution set of this equation: a. b. c. d. _____ _____ x=1 x=3 x = 3 or –3 no solutions 2. Find the solution set of this equation: a. b. c. d. x2  3x  x  3 . 3x  10  x  4 . no solutions x = –2 x = –2 or –3 x = –3 3. Find the solution set of this equation: 8x  2  2x . 2 9 b. no solutions 2 c. x  9 d. x = 2 a. x  2 or Unit 5 Evaluation MTHH 043 For questions 4 – 6, use the function f (x) = log3 (1 – x) . _____ 4. What is the domain? a. b. c. d. _____ 5. What is the range? a. b. c. d. _____ { x | x is a real number } {x|x>1} {x|x≠1} {x|x 0 } _____ 9. What is the correct graph? a. b. c. d. 1 3   _____ 10. Find the base of the function F(x)  b x , if its graph contains the point  , 2  . a. 3 2 b. 1 3 c. 8 d. 2 2 Unit 5 Evaluation MTHH 043 _____ 11. Given f(x)  log5 x . Find f(125) . a.  1 3 1 3 c. –3 b. d. 3  1  .  25  _____ 12. Given f(x)  log5 x . Find f  a. 2 b. – 2 1 c.  2 1 d. 2 _____ 13. Rewrite 42  a. log4 ( 2)  1 as an equivalent logarithmic equation. 16 1 16 1  2 16 1 c. log2 4  16 1 d. log2 ( 4)  16 b. log4 _____ 14. Rewrite log4 1  0 as an equivalent exponential equation. a. 04  1 b. 41  0 c. 40  1 d. 14  0 Unit 5 Evaluation MTHH 043  1  .  49  _____ 15. If g(x)  log 7 x , find g  a. –2 2 1 c.  2 1 d. 2 b. _____ 16. Find the base of the function G  x   log b x , if its graph contains the point (16, 4). a. 4 2 b. –2 c. 2 1 d. 2 _____ 17. Use properties of logarithms to rewrite log5 2 9 as a single logarithm.  log5 3 10 47 30 3 b. log5 5 5 c. log5 3 d. log5 15 a. log5 _____ 18. Evaluate log2 1 2 8 . 1 6 b. 6 3 c. 2 1 d. 8 a. _____ 19. Given: loga 2  .4, loga 3  .5, loga 5  .8 . Find loga 60 . a. b. c. d. Unit 5 Evaluation 2.9 1.46 .32 2.1 MTHH 043 _____ 20. Solve 35x  2  81 . a. 0 2 b. 5 c. 5 6 d. 5 _____ 21. Solve: log5  2x  3   2 . a. 11 13 b. 2 7 c. 2 d. 14 _____ 22. Solve: 8x  16x  2 . a. b. c. d. –2 8 –8 2 _____ 23. Find the solution set of this system of equations. a. b. c. d. (3, 1) (– 3, – 1) (3, – 1) (– 3, 1) _____ 24. Find the solution set of this system of equations. a. b. c. d. Unit 5 Evaluation 2x  y  1 x2  y  2 (– 3, 7) and (1, – 1) (3, 7) and (– 1, – 1) (– 3, – 7) and (1, 1) (3, – 7) and (– 1, 1) _____ 25. Find the solution set of this system of equations. a. b. c. d. 4x  y  11 2x – y  7 x2  y2  25 4x – 3y  0 (3, 4) and (– 3, – 4) (3, – 4) and (– 3, 4) (– 4, 3) and (4, – 3) (4, 3) and (– 4, – 3) MTHH 043 x – y z 4 _____ 26. Find the solution set of this system of equations. 2x  y  3z  19 x  2y – z  9 a. b. c. d. (5, 4, 3) (– 7, 4, – 7) (1, 9, 12) (5, 3, 2) Use the following information to answer questions 27– 29. The sum of two numbers is 56 . If the smaller number is 1 the larger number, what 3 are the two numbers? _____ 27. If x is the smaller number, what is one equation? a. x = y + 3 b. x = y – 3 1 c. x = y 3 d. x = 3y _____ 28. What is the other equation? a. x – y = 56 b. xy = 56 c. x  56 y d. x + y = 56 _____ 29. What are the two numbers? a. b. c. d. Unit 5 Evaluation 28 and 84 14 and 42 7 and 21 21 and 63 MTHH 043 Use the following information to answer questions 30–35: 1 the 2 length of the longest side, and the length of the third side is 1 less than the length of the longest side, what is the length of each side? The perimeter of a triangle is 39 inches. If the length of the shortest side is _____ 30. If x is the shortest side and y is the longest side, what is one equation? a. xyz = 39 b. 2x + 2y + 2z = 39 c. x + y + z = 39 1 d. xyz  39 2 _____ 31. What is another equation? 1 y 2 b. x = 2y 1 c. x   y 2 1 d. x   y 2 a. x  _____ 32. What is another equation? a. b. c. d. _____ 33. z=1–x z=x–1 z=y–1 z=1–y What is the shortest side? a. b. c. d. 6 8 7 5 _____ 34. What is the longest side? a. b. c. d. Unit 5 Evaluation 10 17 14 16 MTHH 043 _____ 35. What is the third side? a. b. c. d. 13 9 15 16 _____ 36. What is the augmented matrix of this system of equations? a. b. c. d. _____ 37. What is the solution set of this system of equations? a. b. c. d. Unit 5 Evaluation 4x – y  8 x  2y  11 4x – y  8 x  2y  11 (4, 3) (5, –3) (–3, 5) (3, 4) MTHH 043 x  y  z 9 _____ 38. What is the augmented matrix of this system of equations? 2x – y – z  –6 x  y – z  –1 a. b. c. d. x  y  z 9 _____ 39. What is the solution set of this system of equations? 2x – y – z  –6 x  y – z  –1 a. b. c. d. (9, 4, –4) (1, 8, 0) (1, 3, 5) (7, 6, –4) 3 _____ 40. Evaluate the determinant of this matrix.   6 a. b. c. d. –3 – 27 – 11 – 24  7 _____ 41. Evaluate the determinant of this matrix.  1 a. b. c. d. Unit 5 Evaluation  2 5  2 3  19 23 −23 −13 MTHH 043 3 2 5  _____ 42. Evaluate the determinant of this matrix. 6 1 4  9 0 0  a. b. c. d. 27 13 117 3 1  4 1  _____ 43. Evaluate the determinant of this matrix.   2 1 1   3 2  4  a. b. c. d. 110 –26 –5 50 _____ 44. Solve: log3 1 x . 9 a. – 2 1 b. 2 1 c.  2 d. 4 _____ 45. Use Cramer's Rule to solve this linear system: a. b. c. d. 4x – y  2 3x  2y  7 (–2, 2) (2, 3) (–1, 3) (1, 2) 3x – y  z  7 _____ 46. Use Cramer's Rule to solve this linear system: a. b. c. d. Unit 5 Evaluation x  y – z  –3 2x  2y  3z  14 (1, 0, 4) (5, –1, –1) (–1, 1, 1) (–5, 2, –4) MTHH 043 _____ 47. Solve: log2 x  log2  x – 1  1. a. 2 3 b. 2 c. –1 d. 2 or –1 Use the following information to answer questions 48−50. The smaller of two numbers is 10 less than 4 times the greater number. The greater number is 19 more than the smaller. Find the two numbers. _____ 48. If x is the smaller number, what is one equation? a. b. c. d. x + y = 19 x = 19 – y y = x + 19 x = y + 19 _____ 49. What is the other equation? a. b. c. d. x = 4y – 10 x = 4y + 10 x = 10 – 4y x = (10 – 4) y _____ 50. What are the two numbers? a. b. c. d. –22 and –3 –16 and 3 3 and 22 –3 and 16 Carefully check your answers on this evaluation and make any corrections you feel are necessary. When you are satisfied that you have answered the questions to the best of your ability, transfer your answers to an answer sheet. Please refer to the information sheet that came with your course materials Unit 5 Evaluation MTHH 043
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Explanation & Answer

Please find all answers highlighted in attached PDF. Please let me know if you have any doubt.Thanks

Name

_________________________________

I.D. Number

_______________________

Unit 5 Evaluation
Precalculus: Analytic Geometry & Algebra
(MTHH 043 059)
This evaluation will cover the lessons in this unit. It is open book, meaning you can use your
textbook, syllabus, and other course materials. You will need to understand, analyze, and apply the
information you have learned in order to answer the questions correctly. To submit the evaluation by
mail, follow the directions on your Enrollment Information Sheet. To take the evaluation online,
access the online version of your course; use the navigation panel to access the prep page for this
evaluation and follow the directions provided. You may use your calculator on this unit
evaluation.
Select the response that best completes the statement or answers the question.
_____

1. Find the solution set of this equation:
a.
b.
c.
d.

_____

_____

x=1
x=3
x = 3 or –3
no solutions

2. Find the solution set of this equation:
a.
b.
c.
d.

x2  3x  x  3 .

3x  10  x  4 .

no solutions
x = –2
x = –2 or –3
x = –3

3. Find the solution set of this equation:

8x  2  2x .

2
9
b. no solutions
2
c. x 
9
d. x = 2
a. x  2 or

Unit 5 Evaluation

MTHH 043

For questions 4 – 6, use the function f (x) = log3 (1 – x) .
_____

4.

What is the domain?
a.
b.
c.
d.

_____

5. What is the range?
a.
b.
c.
d.

_____

{ x | x is a real number }
{x|x>1}
{x|x≠1}
{x|x ...


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