Math+1111+Test+1+Review+Spr+2018 PDF

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1/30/2018

Math1111Test1ReviewSpr2018

Student:_____________________ Date:_____________________

Instructor:LisaYocco Course:Math1111SESpring2018

Assignment:Math1111Test1Review Spr2018

1. Solvethefollowingequation. 5t − 4 = 14 − t Selectthecorrectchoicebelowand,ifnecessary,fillintheanswerboxtocompleteyourchoice. A. Thesolutionsetis . (Simplifyyouranswer.Typeanintegerorasimplifiedfraction.) B. Thereisnosolution. 2. Solvetheequation. 6x − (4x + 8) = 3x − 23 Selectthecorrectchoicebelowandfillinanyanswerboxesinyourchoice. A. Thesolutionsetis

.(Simplifyyouranswer.)

B. Thereisnosolution. 3. Solvetheequation. x x−7

+5=

7 x−7

Selectthecorrectchoicebelowandfillinanyanswerboxesinyourchoice. A. Thesolutionsetis

.(Simplifyyouranswer.)

B. Thereisnosolution. 4. Solvetheequation. 8 3x − 2

=

3 x+2

Selectthecorrectchoicebelowandfillinanyanswerboxesinyourchoice. A. Thesolutionsetis

.(Simplifyyouranswer.)

B. Thereisnosolution. 5. Solvetheequation. 5 x−5

=

−3 x+6

+

23 (x − 5)(x + 6)

Selectthecorrectchoicebelowandfillinanyanswerboxesinyourchoice. A. Thesolutionsetis

.(Simplifyyouranswer.)

B. Thereisnosolution.

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6.

Math1111Test1ReviewSpr2018

Solvethefollowingequationbyfactoring. 2

x − 9= 0 Selectthecorrectchoicebelowand,ifnecessary,fillintheanswerboxtocompleteyourchoice. A. Thesolutionsetis . (Typeanintegerorasimplifiedfraction.Useacommatoseparateanswersas needed.) B. Thereisnosolution. 7.

Solvethefollowingequationbyfactoring. 2

7x − 20x − 3 = 0 Selectthecorrectchoicebelowand,ifnecessary,fillintheanswerboxtocompleteyourchoice. A. Thesolutionsetis . (Typeanintegerorasimplifiedfraction.Useacommatoseparateanswersas needed.) B. Thereisnosolution. 8.

Solvethefollowingequationbythesquarerootmethod. 2

(x − 1) = 4 Selectthecorrectchoicebelowand,ifnecessary,fillintheanswerboxtocompleteyourchoice. A. Thesolutionsetis . (Typeanintegerorasimplifiedfraction.Useacommatoseparateanswersas needed.) B. Thereisnosolution. 9.

Usethequadraticformulatofindtherealsolutions,ifany,oftheequation. 2

x − 4x + 2 = 0 Selectthecorrectchoicebelowandfillinanyanswerboxeswithinyourchoice. A. Thesolutionsetis . (Simplifyyouranswer.Typeanexact answer,usingradicalsasneeded.Useacommato separateanswersasneeded.) B. Therearenorealsolutions. 10. Findtherealsolutions,ifany,ofthefollowingequation.Usethequadraticformula. 2

9x = 4 − 4x Selectthecorrectchoicebelowandfillinanyanswerboxeswithinyourchoice. A. Thesolutionsetis . (Typeanexact answer,usingradicalsasneeded.Useacommatoseparateanswersas needed.) B. Therearenosolutions.

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11. Findtherealsolutions,ifany,ofthefollowingequation.Useanymethod. 2

x − 19 = 0 Selectthecorrectchoicebelowandfillinanyanswerboxeswithinyourchoice. A. Thesolutionsetis . ( Simplifyyouranswer.Typeanexactanswer,usingradicalsasneeded.Useacommato separateanswersas needed.) B. Therearenosolutions. 12. Writetheexpressioninthestandardform a + b . (2 − 9 ) + (1 + 7 ) (2 − 9 ) + (1 + 7 ) =

( Simplifyyouranswer.)    

13. Writetheexpressioninthestandardforma + b . ( − 7 + 3 ) − (6 − 3 ) ( − 7 + 3 ) − (6 − 3 ) = (Simplifyyouranswer.Typeyouranswerintheforma + b .) 14. Writetheexpressioninthestandardform a + b . (5 − 8 )(4 + ) (5 − 8 )(4 + ) =

(Simplifyyouranswer.)

15. Writetheexpressioninthestandardforma + b . 1− 3+ 1−

=

3+

 (Simplifyyouranswer.Typeyouranswerintheforma+b .)    

16. Writetheexpressioninthestandardform a + b . 25 25

 (Simplifyyouranswer.)    

=

17. Performtheindicatedoperationandexpressyouranswerintheform a + b . − 49 − 49 =

 (Simplifyyouranswer.)

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18. Solvetheequationinthecomplexnumbersystem. 2

x + 25 = 0 Thesolutionsetis . (Simplifyyouranswer.Useacommatoseparateanswersas needed.) 19. Solvetheequationinthecomplexnumbersystem. 2

x − 12x + 100 = 0 Thesolutionsetis

.  ( Useacommatoseparateanswersasneeded.)  

20. Solvetheequationinthecomplexnumbersystem. 2

2x − 2x + 1 = 0 Whatisthesolutionset? A.

1 2

B.

+

1

1 2

, −

2 C.

1 1 , 2 1

D.

1 2

+

1 2

,

1 1 − 1 2

1 2

,

1 1 − 2 2

21. Findtherealsolutionsofthefollowingequation. 5

2 x − 4x = 2

Selectthecorrectchoicebelowand,ifnecessary,fillintheanswerboxtocompleteyourchoice. A. Thesolutionsetis . (Useacommatoseparateanswersasneeded.) B. Therearenorealsolutions. 22. Findtherealsolutionsofthefollowingequation. x=3 x Selectthecorrectchoicebelowand,ifnecessary,fillintheanswerboxtocompleteyourchoice. A. Thesolutionsetis . (Useacommatoseparateanswersasneeded.) B. Therearenorealsolutions.

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23. Findtherealsolutionsoftheequation. 48 − 2x = x Whatisthesolutionset?Selectthecorrectchoicebelowandfillinanyanswerboxesinyourchoice. A.

 (Simplifyyouranswer.Useacommatoseparateanswersasneeded.)

B. Therearenorealsolutions. 24. Findtherealsolutionsofthefollowingequation. 2+

2x − 1 = x

Selectthecorrectchoicebelowand,ifnecessary,fillintheanswerboxtocompleteyourchoice. A. Thesolutionsetis . (Useacommatoseparateanswersasneeded.) B. Therearenorealsolutions. 25. Findtherealsolutionsofthefollowingequation. 4

2

x − 5x + 4 = 0 Selectthecorrectchoicebelowand,ifnecessary,fillintheanswerboxtocompleteyourchoice. A. Thesolutionsetis . (Useacommatoseparateanswersasneeded.) B. Therearenorealsolutions. 26. Findtherealsolutionsoftheequation. 2

(x + 7) + 14(x + 7) + 45 = 0 Whatisthesolutionset?Selectthecorrectchoicebelowandfillinanyanswerboxesinyourchoice. A. Thesolutionsetis . (Useacommatoseparateanswersasneeded.Rationalizealldenominators.Typeaninteger orasimplifiedfraction.) B. Therearenorealsolutions. 27. Findtherealsolutionsoftheequation. 2

6(s + 3) − 53(s + 3) = 9 Whatisthesolutionset?Selectthecorrectchoicebelowandfillinanyanswerboxesinyourchoice. A. (Useacommatoseparateanswers,asneeded.Rationalizealldenominators.Typean integerorasimplifiedfraction.) B. Therearenorealsolutions.

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28. Findtherealsolutionsbyfactoring. 3

x − 25x = 0 Whatisthesolutionset?Selectthecorrectchoicebelowandfillinanyanswerboxeswithinyourchoice. A. (Useacommatoseparateanswersasneeded.Typeanintegerorasimplifiedfraction.) B. Therearenosolutions. 29. Findtherealsolutionsofthefollowingequationbyfactoring. 3

2

x − 10x + 16x = 0 Selectthecorrectchoicebelowand,ifnecessary,fillintheanswerboxtocompleteyourchoice. A. Thesolutionsetis . (Useacommatoseparateanswersasneeded.) B. Therearenorealsolutions. 30. Expressthegraphshownincolorusingintervalnotation.Alsoexpressitasaninequalityinvolvingx.

2

1

0

1

2

3

4

5

6

7

8

9

10

Useintervalnotationtodescribethegraph.Whatistheresultinginterval?  Useaninequalityinvolvingxtodescribethegraph.Whatistheresultinginequality? (Typeaninequality.)

31. Expressthegraphshownincolorusingintervalnotation.Alsoexpressthegraphasaninequalityinvolvingx.

12

10

8

6

4

2

0

2

4

6

8

10

12

Choosethecorrectintervalnotationbelowthatisrepresentedbythegraph. A. (6,

)

B. [6, ) C. ( −

,6)

D. ( −

,6]

Choosethecorrectinequalitybelowthatisrepresentedbythegraph. A. x ≥ 6 B. x > 6 C. x < 6 D. x ≤ 6

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32. Expressthegraphshownincolorusingintervalnotation.Alsoexpressthegraphasaninequalityinvolvingx.

   10

9

8

7

6

5

4

3

2

1

0

1

2

3

4

5

6

7

8

9

10

Choosethecorrectintervalnotationbelowthatisrepresentedbythegraph. A. [ − 3,8) B. { − 3, 8} C. [ − 3,8] D. ( − 8,3] Choosethecorrectinequalitybelowthatisrepresentedbythegraph. A.

− 3 − 23} or( − 23,

)

Choosethecorrectgraphbelowthatisthesolutionsettotheinequality. A.

B. 15

18

21

24

27

30

33

C.

33

30

27

24

21

18

15

D. 33

30

27

24

21

18

15

15

18

21

24

27

30

33

35. Solvetheinequality.Expressyouranswerusingsetnotationorintervalnotation.Graphthesolutionset. 2 ≤ 2x + 2 ≤ 8 Choosethecorrectanswerbelowthatisthesolutionsettotheinequality. A. {x|0 < x < 3}or(0, 3) B. {x|0 ≤ x ≤ 3} or(0, 3) C. {x|0 ≤ x ≤ 3} or[ 0, 3] D. {x|0 ≥ x ≥ 3} or(0, 3] Choosethecorrectgraphbelowthatisthesolutionsettotheinequality. A.

B. 9

6

3

0

3

6

9

C.

9

6

3

0

3

6

9

9

6

3

0

3

6

9

D. 9

6

3

0

3

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36. Solvethefollowinginequalityalgebraically.Graphthesolutionset. 

−5<

5x − 1 4

9 4

A.

−

B.

−

,−

C.

−

,−

D.

−

7

4 7

,

or(2, ) 4 7 4 7

or

4 7

,

or(2, )

,2

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1. A.Thesolutionsetis

3

. (Simplifyyouranswer.Typeanintegerorasimplifiedfraction.)

2. A.Thesolutionsetis

15

.(Simplifyyouranswer.)

4. A.Thesolutionsetis

22

.(Simplifyyouranswer.)

5. A.Thesolutionsetis

1

.(Simplifyyouranswer.)

3. B.Thereisnosolution.

6. A.Thesolutionsetis − 3,3 . (Typeanintegerorasimplifiedfraction.Useacommatoseparateanswersas needed.)

7. A.Thesolutionsetis

−

1

,3 . 7 (Typeanintegerorasimplifiedfraction.Useacommatoseparateanswersas needed.)

8. A.Thesolutionsetis − 1,3 . (Typeanintegerorasimplifiedfraction.Useacommatoseparateanswersas needed.)

9. A.Thesolutionsetis 2 +

2 ,2 −

2 .

(Simplifyyouranswer.Typeanexact answer,usingradicalsasneeded.Useacommatoseparateanswersasneeded.)

10. A.Thesolutionsetis

− 2 + 2 10

,

− 2 − 2 10

. 9 9 (Typeanexact answer,usingradicalsasneeded.Useacommatoseparateanswersasneeded.)

11. A.Thesolutionsetis 19 , − 19 . (Simplifyyouranswer.Typeanexact answer,usingradicalsasneeded.Useacommatoseparateanswersasneeded.)

12. 3 − 2

13. − 13 + 6

14. 28 − 27

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15. 1 5

Math1111Test1ReviewSpr2018

−

2 5

16.

17. 7

18. 5 , − 5

19. 6 − 8 ,6 + 8

20.

D.

1 2

+

1 2

,

1 1 − 2 2

21. A.Thesolutionsetis

− 4,8

. (Useacommatoseparateanswersasneeded.)

22. A.Thesolutionsetis

0,9

. (Useacommatoseparateanswersasneeded.)

23. A.

6

 (Simplifyyouranswer.Useacommatoseparateanswersasneeded.)

24. A.Thesolutionsetis

5

. (Useacommatoseparateanswersasneeded.)

25. A.Thesolutionsetis

2, − 2,1, − 1

. (Useacommatoseparateanswersasneeded.)

26. A.Thesolutionsetis − 12, − 16 . (Useacommatoseparateanswersasneeded.Rationalizealldenominators.Typeanintegerorasimplifiedfraction.)

27. A.

−

19 6

,6

(Useacommatoseparateanswers,asneeded.Rationalizealldenominators.Typeanintegerorasimplified fraction.)

28. A.

0,5, − 5

(Useacommatoseparateanswersasneeded.Typeanintegerorasimplifiedfraction.)

29. A.Thesolutionsetis

0,2,8

. (Useacommatoseparateanswersasneeded.)

30. [3,5] 3≤x ≤5 https://xlitemprod.pearsoncmg.com/api/v1/print/math

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1/30/2018

Math1111Test1ReviewSpr2018

31. B.[6,

)

A.x ≥ 6

32. A.[ − 3,8) D. − 3 ≤ x < 8

33. A.Thesolutionsetis

−

,

5

.

6

(Typeyouranswerinintervalnotation.Useintegersorfractionsforanynumbersintheexpression.)

A. 4

0

4

34. D.{x|x > − 23} or( − 23,

)

B. 33 30 27 24 21 18 15

35. C.{x| 0 ≤ x ≤ 3}or[ 0, 3]

9

C.

6

3

0

3

36. A.Thesolutionsetis

6

−

9

19 1 , 5 5

.

(Typeyouranswerinintervalnotation.Useintegersorfractionsforanynumbersintheexpression.)

B. 1512 9 6 3 0 3 6 9 12 15

37.

B. −

1 7

,−

5 7

38. B.{ − 2,2,6}

39.

40.

C.

2 6 , 5 5

C. −

,−

4 7

or(2, )

https://xlitemprod.pearsoncmg.com/api/v1/print/math

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