pap#algebra#1#–#semester#1#exam#review# ####name:##

PAP#Algebra#1#–#Semester#1#Exam#Review# ####Name:##__________________________________________!

Solve.#

1. ! + 10 = −23!

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2. −7! = 35!

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3. 2/3!! = 10!

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4. −3! + 4 = −23!

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5. 20 = −8 + 14!!

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6. 8(! + 7) = −16!

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7. −2(! + 7) − 33 = 27!

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8. 4! − 12 = 3! + 18!

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9. −7! + 11 = 4!!

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10. 5! + 20 = −10 + 5! + 30!

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11. 20 − 4! = 12! + 4!

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12. 2! − 9 = 2(! − 8)!

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13. !/2 − 8 = 26!

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14. !!!! = 5!

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Solve#and#graph#each#inequality.#

15. −3! ≤ 18!

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16. ! + 3 < 6!

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17. 5! − 8 < 4! + 6!

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18. 3! + 2 ≥ 14!!"#!2 ≥ 3! + 2!

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19. 7 + 3! < 1!!" − 12 < 11! − 1!

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20. −20 < 2! − 4 ≤ 16!

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21. Standard!form!of!an!equation:!!!!+!!!!=!!.!Solve!for!y.!

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22. Volume!of!cone:!V!=!1/3!Bh.!Solve!for!h.!

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23. =5x!+!2y!=!=10!Solve!for!y.!

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3!

24. The!sum!of!three!consecutive!even!integers!is!126.!!Find!the!integers.!

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25. The!number!of!coins!Fred!has!is!8!less!than!half!of!the!number!that!Jack!has.!!Together!they!have!100!coins.!!How!many!coins!do!they!each!have?!

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26. The!sum!of!37!and!three!times!a!number!is!67.!!What!is!the!number?!

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Identify#the#unknowns,#set#up#an#inequality#and#solve.#

27. An!elevator!can!safely!hold!no!more!than!2,000!lbs.!!What!is!the!greatest!number!of!60!lb!boxes!the!elevator!can!safely!hold?!

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28. Sam!received!commissions!of!$150!and!$225.!!How!much!must!he!receive!on!his!third!commission!for!his!total!to!exceed!$500?!

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29. There!are!four!tests!in!the!first!semester.!!Sam’s!scores!on!three!tests!are!85,!91,!and!76.!!What!is!the!lowest!score!he!can!get!on!the!fourth!test!to!have!an!average!greater!than!85?!

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Find#the#perimeter#of#each#of#the#following#figures.#

30.!

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31.!

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Find#the#slope#using#the#two#points.#

32.!!(=4,!2)!and!(0,!3!)! ! 33.!!(3,!=2)!and!(2,!=1)!

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Tell#whether#the#given#ordered#pair#is#on#the#line.!

34.! y!=!x!–!1! (=3,!=4)! 35.!!! =2x!=!3!=!y! (=1,!1)! 36.!!! y!=!5! ! (3,!5)!

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Find#the#slope#and#yIintercept#of#each#line.###

37.! y!=!x!–!2! ! ! ! ! 38.! y!=!=7x!+!5!

m=__________!b=!____________! ! ! m=__________!b=!____________!

39.! y!=!3! ! ! ! ! ! 40.! x!=!=4!

m=__________!b=!____________! ! ! m=__________!b=!____________!

7z!8zz!

10z!

14a+6!

9a!9a!

2a+4!

3a!


Graph#each#line/inequality.!

41.!! y!=!2x!+!1! ! ! ! ! 42.! y!<!=3x!+!2! !

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70.!! y!=!5! ! ! ! ! ! 71.! x!=!=2! !

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43.!! =2x!+!y!>!5! ! ! ! ! 44.! 4x!+!2y!=!12! !

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45.!!3x!+!2y!=!9! ! ! ! ! ! 46.!!6x!=!5y!+30!

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Tell#whether#the#lines#are#parallel,#perpendicular,#or#neither.!

47.!! y!=!2x!–!1! y!=!4x!+!5! 48.! 2x!–!y!=!3! 2x!+!y!=!5! 49.! 2x!+!4y!=!8!!!!!!!2x!=!=4y!=!7!

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Write#an#equation#in#slopeIintercept#form#for#the#line#described.#

50.!slope!of!=2!and!a!y=intercept!of!3.! 51.!slope!of!5!that!passes!through!the!point!(=2,1).!

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52.!parallel!to!! = 3! + 2!and!passes!through!the!point!(1,4).!

53.!perpendicular!to!! = 2! + 1!and!has!a!y=intercept!of!(0,=2).!

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54.!through!the!points!(2,=3)!and!(4,=2).! 55.!parallel!to!! + ! = 6!and!has!the!same!y=intercept!as!the!line!2! + 3! = −9.!

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56. The!height,!H,!of!a!board!varies!directly!with!its!weight,!W.!!An!11!foot!tall!board!weighs!242!pounds.!!Write!an!equation!relating!H!to!W.!

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57. The!total!cost,!C!(in!dollars),!of!getting!a!house!painted!varies!directly!with!the!number!of!hours,!H,!the!painter!works.!!A!20!hour!job!costs!$300.!!Write!an!equation!relating!C!to!H.!

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Write#an#equation#for#the#following#graphs.#

58.! ! ! ! ! ! ! ! 59.! ! !! ! !

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60.! ! ! ! ! 61. !! ! ! ! !

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Tell#whether#each#is#a#function.##Write#yes#or#no.!

62.!!{(2,3),!(8,6),!(4,1),!(5,3)}! 63.!!y!=!2x!–!5! 64.!!x!=!=2

65.!!{(=3,1),!(9,0),!(=3,2),!(0,4)}!! 66.!!y!=!1!

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Find#the#range#of#each#function.!

67.!!F(x)!=!x²!–!x!–!12,!!D!=!{=2!,4,!5}!!!! ! ! 68.!!Q(x)!=!2x!–!5,!!D!=!{=1,!4,!6}!

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Find#the#domain#of#each#function.!

69.!!y!=!6x!–!10,!!R!=!{=40,!=10,!14}! ! ! 70.!!F(x)!=!=5!+!2x,!!R!=!{5,!=11,!8}!

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Use#the#function#g(x)#=#I2x#+#4#to#answer#the#following#questions.!

71.!!Find!x!when!g(x)!=!30.! ! ! ! 72.!!Find!g(x)!when!x!=!30.!

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73.!!Find!x!when!g(x)!=!7.! ! ! ! 74.!!Find!g(x)!when!x!=!7.!

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Use#the#graphs#to#answer#the#following.!

75.!!! ! ! ! 76.!!!

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Domain:!!_____________________! ! ! Domain:!!_____________________!

Range:!!______________________! ! ! Range:!!______________________!

Function!(yes!or!no):!!___________! ! ! Function!(yes!or!no):!!___________!

77.!!! ! ! ! 182.!!! ! ! 78.!

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Domain:!!_____________________! ! ! Domain:!!_____________________!

Range:!!______________________! ! ! Range:!!______________________!


79.!!! ! ! ! 80.!!!

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Domain:!!_____________________! ! ! Domain:!!_____________________!

Range:!!______________________! ! ! Range:!!______________________!



Solve!each!system!of!equations!by!graphing.!!!!____________!(81)!!y!=!3x!! ! ! y!=!=x!+!12!!!!!!!!!!!!!!!!____________!!82)!y!=!x!=!1! ! ! !y!=!=2x!+!5!!!!!!!!!!!!!

Solve!each!system!of!equations!by!substitution.!!___________! (83)!y!=!4x!=!1! ! ! !x!+!y!=!4!!!!!!!!!___________! (84)!2m!=!n!=!7!! ! 3m!+!n!=!8!!!

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!Solve!each!system!of!equations!by!elimination.!!___________! (85)!12x!+!3y!=!0! ! !5x!+!3y!=!7!!!!!!!!!!!!!__________! ! (86)!2x!+!y!=!3! ! !2x!=!2y!=!6!!Solve!the!following!problems.!Identify!your!variables!and!write!a!system!of!equations!for!each!problem.!!!(87)! Ben!has!$5.40!in!nickels!and!dimes.!He!has!4!times!as!many!dimes!as!nickels.!How!many!of!each!coin!

does!he!have?!!!!!!!!(88)! Brett!has!$3!more!than!twice!as!much!as!Mike.!Together!they!have!$57.!How!much!does!each!boy!

have?!!!!!

(89!)! A!rectangle!has!a!perimeter!of!58!inches.!!The!length!is!one!more!than!three!times!the!width.!!Write!and!solve!a!system!of!linear!equations!to!find!the!length!and!width!of!the!rectangle.!

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