final exam - formated

8/8/2019 Final Exam - Formated

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Algebra 2 Semester 1 Final Name:__________________________ PART 1: NO CALCULATORS.

Do the following problems. Make sure your answers are fully reduced. You may write answers

either in mixed form or as improper (top-heavy) fractions. SHOW YOUR WORK. (5 pts each)

1.

272

183 +

Answer:________

2.

5

15

3

14

7

2

10

3

Answer:________


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Give an example of each of the following types of numbers. (2 pts each)

3. A number that is rational but not an integer

Answer:______________

4. A number that is irrational

Answer:______________

5. A negative integer Answer:______________

6. A complex number that is not imaginaryAnswer:______________

7. A number that is neither even nor oddAnswer:______________

TRUE OR FALSE circle one (1 pt each)

8. is imaginary

TRUE FALSE

9. 0 is imaginary

TRUE FALSE

10. 0 is evenTRUE FALSE

11. 3.7 is odd

TRUE FALSE

12. i5 is irrational

TRUE FALSE

13. 0 is positive

TRUE FALSE

Draw a reasonable graph of the function. (3 pts)

14. The length of time an oven has been turned on and the ovens temperature are related.


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State the domain and range of the following function. (4 pts)

15.

D:_______________

R:_______________

Are the following relations functions? (2 pts each)

16. ( ) ( ) ( ){ }15,7,24,3,17,24

Answer:________

17.

1

45

52

73

yx

Answer:________


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18. Draw a graph that is not a function. (2 pts)

19. Draw a graph that is a function (2 pts)


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Draw the graph of a function with the stated domain and range. (5 pts)

20. D: 52


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22. xy =

23.12362 =+ zyx

(be sure to label your axes)


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24. (5, 2, -1)

25. Sketch the graph of a parabola with x-intercepts of 2 and 8 and y intercept of -3.


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28. 2

3

23

10

22

x

y

y

x

Answer:_________________

29. )23)(5( ii +

Answer:_________________

30. 36

Answer:_________________


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31. 23i

Answer:_________________

32. Give three examples of mathematical expressions that are not polynomials (3 pts)

maximum credit for different types of examples

33. Give two examples of mathematical expressions that are polynomials (2 pts)


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Give the special names for the following polynomials, based on degree and number of terms.

(2 pts each)

34. 3415 xx

Answer:___________________________________35. 13 2 ++xx

Answer:___________________________________

36. x271

Answer:___________________________________


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Scratch Paper (please write see scratch paper by original problem.)


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PART 2: CALC OK Name:________________________

Do the indicated operation. Be sure answer is simplified (no parentheses). (5 pts each)

37. )12()3( 2 xx

Answer:_________________________

38. 2)53( +x

Answer:_________________________


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Factor the following expressions completely. (5 pts each)

39. 105718 2 + xx

Answer:________________________________

40. 23 714 xx

Answer:________________________________


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41. 481 2 x

Answer:________________________________

Solve the following equations and inequalities. (5 pts each)

42. 33129


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43. 1174 x

Answer:________________________________

44. 875 =+x

Answer:________________________________


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45. 51030123 2 +=++ xxx

Answer:________________________________

46. 100)17( 2 =+x

Answer:________________________________


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State the following equations (5 pts each)

47. Give the equation of the line with x-intercept of 72 and going through the point

(36,4). (Hint: start by writing the x-intercept as a point.)

Answer:________________________________

48.Give the equation of the line perpendicular to )7(

5

43 =+ xy with

y-intercept of -10.

Answer:________________________________


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49. Give the equation of the parabola with vertex of (2,5) and going through

the point (-1,8).

Answer:________________________________

Let 73)( += xxf and xxxg 2)(2+= Find the following values: (5 pts each)

50. )3(g

Answer:________________________________

51. )7( +xf

Answer:________________________________


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Let 73)( += xxf and xxxg 2)(2+= Find the following values: (5 pts each)

52. )2(fg

Answer:________________________________

53. Find x if 3)( =xf

Answer:________________________________


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State whether the system is inconsistent, independent or dependent. IF the equations is solvable,

then solve it and give the solution. (5 pts each)

54.3664

3935

=+

=

yx

yx

Type of system:_______________________________

Solution:________________________________

55.324518

366024

=

=

yx

yx

Type of system:_______________________________

Solution:________________________________


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Graph the following quadratic equation by finding the x- and y-intercepts and the vertex.

(5 pts)

56. 12)( 2 ++= xxxf


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EXTRA CREDIT: No Hints Given

A. Easier. Find the x- and y-intercepts for the graph of the following equation. (3 pts)xxyxy +=+ 2

2

x-int:_____________

y-int:_____________

B. Harder. Give an equation for a quadratic function that has solutions of ix = 5 (5 pts)

Answer:________________________________


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Scratch Paper (please write see scratch paper by original problem.)

final exam - formated

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