国际学校代数二测试卷

MultipleChoice

Identifythechoicethatbestcompletesthestatementoranswersthequestion.

Towhichsetsofnumbersdoesthenumberbelong?

1.

irrationalnumbers,realnumbers

integers,rationalnumbers,realnumbers

rationalnumbers,irrationalnumbers

wholenumbers,integers,rationalnumbers,realnumbers

2

2.

3.

15

integers,rationalnumbers,realnumbers

rationalnumbers,realnumbers

irrationalnumbers,realnumbers

rationalnumbers,irrationalnumbers,realnumbers

Anirrationalnumbercan beexpressedasaquotientofintegers.

always b. sometimes c. never

Graphthenumberonanumberline.

4.

a.

c.

–5

–4

–3

–2

–1 0

1

2

3

4

5

–5

–4

–3

–2

–1

0

1

2

3

4

5

–5

–4

–3

–2

–1 0

1

2

3

4

5

–5

–4

–3

–2

–1

0

1

2

3

4

5

Insert<,>,or=tomakethesentencetrue.

d.

5.

a.

=

b.

>

c.

<

6.

a.

>

b.

<

c.

=

7.

a.

>

b.

=

c.

<

8.

a.

<

b.

>

c.

=

Findtheoppositeandthereciprocalofthenumber.

9. 3

3

a. 3,3 c. 3,1

3 3

b. 3,1 d. 3,1

10. –1.74

a. 50,87 c.

50,–1.74

87 50 87

11.

a.

,

b.

,

c.

d.

,

50

87

b. 1.74,87 d. 1.74,50

Namethepropertyofrealnumbersillustratedbytheequation.

12.

13.

AssociativePropertyofMultiplication

DistributiveProperty

CommutativePropertyofAddition

AssociativePropertyofAddition

AssociativePropertyofMultiplication

CommutativePropertyofAddition

CommutativePropertyofMultiplication

ClosureProperty

14. –2.50=–2.5

InversePropertyofMultiplication

IdentityPropertyofAddition

InversePropertyofAddition

IdentityPropertyofMultiplication

15. Simplify

.

a. 14 b. 8 c. –8

Evaluatetheexpressionforthegivenvalueofthevariable(s).

d. –14

16.

;

,

a.

–55

b.

55

c. 5

d.

–5

17.

a.

32

b.

48

c. 48

d.

30

18.

a.

3

;x=–3

b.

–1

c. 11

d.

–17

19.

a.

–76

;x=–3

b.

62

c. 32

d.

30

20.

Simplifybycombiningliketerms.

22. Findtheperimeterofthefigure.Simplifytheanswer.

y

2x

x+y

2x

4x

x

a. 9x+2y b. 10x+y c. 10x+2y d. 9x+3y

23.

a.

1

b.

72

c.

23

d.

17

17

3

Solvetheequation.

24.

a. 1

b.

21

c.

2

2

2

d. 2

5

25.

26.

a. –0.5 b. –2 c. 0.5

3

a. x=2orx=11 c. x=2orx=2

d. 2

3

b. x=2orx=4 d. x=11

orx=2

27.

a.

8 2

x= orx=

c.

9

9

8 2

x= orx=2

9

3

3

b. x=0orx=22 d.

8

x=9

orx=0

a.

b.

c.

d.

21.

a.

b.

c.

d.

28. ,fort

a. b.

c.

d.

Solvetheequationorformulafortheindicatedvariable.

thespeedlimitinmilesperhour.

Solvetheequationfors.

a.

b.

;s=28mi/h

;s=36mi/h

c.

d.

;s=35

;s=28mi/h

Whatisthespeedlimitatatrafficlightthatremainsyellowfor4.5seconds?

Solveforx.Stateanyrestrictionsonthevariables.

30.

a.

;

c.

;

b.

;

d.

;

31. Arectangleis3timesaslongasitiswide.Theperimeteris60cm.Findthedimensionsoftherectangle.

Roundtothenearesttenthifnecessary.

7.5cmby22.5cm c. 20cmby60cm

7.5cmby52.5cm d. 15cmby22.5cm

32. Thesidesofatriangleareintheratio3:4:5.Whatisthelengthofeachsideiftheperimeterofthetriangleis90cm?

a. 10.5cm,11.5cm,and12.5cm c. 7.5cm,11.5cm,and32.1cm

b. 22.5cm,30cm,and37.5cm d. 19.3cm,25.7cm,and32.1cm

33. TwocarsleaveDenveratthesametimeandtravelinoppositedirections.Onecartravels10mi/hfasterthantheothercar.Thecarsare500miapartin5h.Howfastiseachcartraveling?

35mi/hand45mi/h c. 45mi/hand55mi/h

55mi/hand35mi/h d. 55mi/hand65mi/h

34. Aninequality hasarealnumbersolution.

a. always b. sometimes c. never

Solvetheinequality.Graphthesolutionset.

35. 2+2k8

a. k3

c. k3

–8

b. k5

–6

–4

–2

0

2

4

6

8

–8

d. k5

–6

–4

–2

0

2

4

6

8

–8

–6

–4

–2

0

2

4

6

8

–8

–6

–4

–2

0

2

4

6

8

36. 2r–9–6

2

a. r11

r11

29. Theformulaforthetimeatrafficlightremainsyellowis

,wheretisthetimeinsecondsandsis

–8

–6

–4

–2

0

2

4

6

8

–8

–6

–4

–2

0

2

4

6

8

2

2

2

b. r71 d. r71

–8 –6 –4 –2

37. –4k+521

k–4

0 2 4 6 8

–8 –6 –4 –2 0 2 4 6 8

k–4

–8 –6 –4 –2 0 2 4 6 8

2

b. k61

–8 –6 –4 –2 0 2 4 6 8

2

d. k61

38.

–8 –6 –4 –2 0 2 4 6 8

2(4y–5)–10

–8 –6 –4 –2 0 2 4 6 8

a. y0

c. y0

–8 –6

–4

–2 0

2 4

6 8

–8 –6

–4 –2

0

2

4

6 8

8

8

b. y5 d. y5

–8 –6 –4 –2 0 2 4 6 8

39. 4(3b–5)<–31+12b

nosolutions

–8 –6 –4 –2 0 2 4 6 8

–8 –6 –4 –2 0 2 4 6 8

24

c. b>11

b. b<11

–8 –6 –4 –2

d. allrealnumbers

0 2 4 6 8

24

–8 –6 –4 –2

40. 26+6b2(3b+4)

a. allrealnumbers

0 2 4 6 8

–8 –6 –4 –2 0 2 4 6 8

2

b11

–8 –6 –4 –2 0 2 4 6 8

2

b. b11

–8 –6 –4 –2 0 2 4 6 8

–8 –6 –4 –2 0 2 4 6 8

nosolutions

–8 –6 –4 –2 0 2 4 6 8

Solvetheproblembywritinganinequality.

41. Iftheperimeterofarectangularpictureframemustbelessthan200in.,andthewidthis36in.,whatmusttheheighthoftheframebe?

a. h<64in. b. h>128in. c. h>64in. d. h<128in.

Solvethecompoundinequality.Graphthesolutionset.

42. 5x+1010and7x–714

x4orx1 c. x4orx3

–8 –6 –4 –2 0 2 4 6 8

x0andx1

–8 –6 –4 –2 0 2 4 6 8

x0andx3

43.

a.

c.

–8 –6 –4

–2 0

2 4 6 8

–8 –6 –4 –2

0 2 4 6 8

–8 –6 –4 –2 0 2 4 6 8

b.

–8

d.

–6 –4

–2

0

2

4

6

8

–8 –6

–4

–2 0 2

4 6

8

–8

–6 –4

–2

0

2

4

6

8

44. Theperimeterofasquaregardenistobeatleast22feetbutnotmorethan36feet.Findallpossiblevaluesforthelengthofitssides.

c.

d.

45. Anabsolutevalueequation hasanextraneoussolution.

a. always b. sometimes c. never

46.

a.

c.

b.

d.

Solvetheequation.Checkforextraneoussolutions.

Solvetheinequality.Graphthesolution.

47.

a.

c.

–40

b.

–30

–20

–10

0

10

20

30

40

–20

d.

–15

–10

–5

0

5

10

15

20

–20

48.

–15

–10

–5

0

5

10

15

20

–20

–15

–10

–5

0

5

10

15

20

a. 43

<x<43

c. x<43

orx>43

8 8

–6 –4 –2 0 2 4 6

8 8

–6 –4 –2 0 2 4 6

b. 43

<x<41

d. x<43

orx>41

4 4 4 4

–6 –4 –2 0 2 4 6 –6 –4 –2 0 2 4 6

ShortAnswer

Inthefollowingexpression:thenumberofpeopleprequiredtopaintnsquarefeetofwallin24hours,whichsetofnumbersbestdescribesthevaluesforeachvariable?

Namethepropertyusedineachstepofsimplification.

51.

Simplifytheexpression.

Solvetheequation.Checkforextraneoussolutions.

52.

53. Anengineerpredictsthatamachinewillmanufacturegoodparts80%ofthetime.Useasimulationoftwelvetrialsandtherandomnumberchartbelowtofindtheprobabilitythatthemachinewillmakegoodpartsonallofthenextfourattempts.

9295

6742

7980

5522

3376

2187

6217

8811

1243

4500

4665

2860

HONORSALG.2CH.1TESTREVIEW

AnswerSection

MULTIPLECHOICE

1.

ANS:

A

2.

ANS:

B

3.

ANS:

C

4.

ANS:

D

5.

ANS:

B

6.

ANS:

B

7.

ANS:

C

8.

ANS:

B

9.

ANS:

D

10.

ANS:

D

11.

ANS:

A

12.

ANS:

B

13.

ANS:

C

14.

ANS:

B

15.

ANS:

B

16.

ANS:

A

17.

ANS:

B

18.

ANS:

B

19.

ANS:

C

20.

ANS:

B

21.

ANS:

B

22.

ANS:

C

23.

ANS:

D

24.

ANS:

B

25.

ANS:

D

26.

ANS:

D

KEY:

absolutevalue

27.

ANS:

B

28.

ANS:

D

29.

ANS:

A

30.

ANS:

D

31.

ANS:

A