DamascusHigh School

Summer Math Packet

Algebra

DUE AUGUST 29, 2014

Theproblemsinthispacketaredesignedtohelpyoureview topicsfrompreviousmathematicscoursesthatareimportantfor your successinAlgebra1.

Directions:Showallofyourwork.Youmayuseyournotesfrompreviousmathematicscoursesto helpyou.Additionalcopiesofthispacketmaybeobtainedfrom thecounselingoffice.

Helpfulwebsite:

By the time you enter Algebra, you should be able to:

  1. Applytheorderofoperationstointegercomputations.
  1. Add,subtract,multiplyanddivideintegers.
  1. Workwithfractions.
  1. Simplifyalgebraicexpressions.
  1. Solve equationsthatcontain multiplesteps.
  1. Create algebraicequationsfromverbalexpressions.
  1. Evaluate expressions.
  1. Findthe slope ofaline.
  1. Graphlinearequations.

A.Youshould beableto:ApplytheOrderofOperationstointeger computations.Refer tovideotutorialsat

EvaluatethefollowingexpressionswithoutacalculatorusingOrderofOperations. (PEMDAS)

1.

2.

3.

B.Youshouldbeableto:Add,subtract,multiplyanddivide integers.

Refertovideotutorialsat

Simplify thefollowing expressionswithoutacalculator.Showworkwhennecessary.

4.5.6.

7.8.9.

10.11.12.

C.Youshouldbeableto:Workwithfractions.

Refertovideotutorialsat

Simplify thefollowingwithout acalculator.Makesure toshowallofyourwork.

13. 14.

15. 16.

17. 18.

D.Youshouldbeableto:Simplifyalgebraicexpressions.

Refertovideotutorialsat

Simplify thefollowing algebraicexpressions.Showallwork.

19. 20.

21. 22.

E.Youshouldbeableto:Solveequations.

Refertovideotutorialsat

Solvethefollowingequations.Showallwork.

23. 24.

25. 26.

27. 28.

29.30.

31. 32.

F.Youshould beableto:Createalgebraicequationsfromverbal expressions.

Refertovideotutorialsat

Writeanalgebraicequationforeach. Then,solveeachequationshowing allwork.

33. Threetimesanumber,increasedby4,is25. Whatisthenumber?

34. Anumberdividedby6is14. Whatisthenumber?

35.Onethirdofanumberisequalto24. Whatisthenumber?

36. Eightlessthantwiceanumberistwenty. Whatisthenumber?

Solvethefollowingword problemsbysettingupanalgebraicequation.Then,solvethe equationsshowing allwork.

37.A$180leatherjacketisgoingonsalefora25%discount. Howmuchwillthejacketcost onsale?

38.Mikebought3CD'satacostof$13.99foreachCD. Whatwillhepayintotalincluding a7%salestax?

G.Youshouldbeableto: Evaluateexpressions.

Refer tovideotutorialsat

39. Completethefollowingtablebyevaluatingeachexpressionforthegivenvalues.

Expression / /

H.Youshouldbeabletofindtheslopeofaline.

Refertovideotutorialsat

40.)Findtheslopeofthelinedepictedinthegraphbelow.

41.)Findtheslopeofthelinedepictedinthegraphbelow.

42.)Findtheslopeofthelinepassingthrough(2,4)and(5,3).

43.)Findtheslopeofthelinepassingthrough(-2,-5)and(2,3).

I.Youshouldbe abletographlinearequations.

Refertovideotutorialsat

Directions:

Procedure 1

  1. Puttheequationinslope-interceptform
  2. Identify they-intercept.
  3. Plotthey-intercept.
  4. Identifytheslopeoftheline.
  5. Use the slope to graph more points. Use .
  6. Draw the line.

Or use Procedure 2

  1. Setupatableofvaluesandgraphordered pairs.

Note:

•Horizontallinesarewrittenas,where is arealnumber. Tograph,plotthe y-intercept(0,c) anddrawahorizontallinethroughthatpoint.

•Verticallinesarewrittenas ,whereisarealnumber. Tograph,plotthex­intercept (c,O)anddrawavertical line throughthatpoint.

44.45.

46.47.

48.49.

50.51.

52.53.

AnswerstoALGEBRAIsummerpacket

1)542)543)244)15

5)-226)-737)38)180

9)2510)-1111)312)-9

13)14)15) 16)

17)18)19)20)

21)22)23)24)

25)26)27)28)

29)30)31)32)

33)

34)

35)

36)

37)

38)3

39)

Expression / /
/ 16 / 9
/ 8 / -6
/ 10 / 3

40)-2

41)

42)

43)2

44) 45)

46) 47)

48)49)

50) 51)

52) 53)

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