HonorsGeometryChallengeSampleTest50questions–60minutesMultipleChoiceUsetheanswer“NOTA”(whichstandsforNoneOfTheAbove)iftheanswerisnotlisted 1.

Evaluate7m+3mnwhenm=8andn=14A)84 B)196 C)392D)168E)NOTA

2.

Simplify:675

�

÷ (6+9

�

÷3)A)15 B)9C)75D)225E)135

3.

(4x2y3)2=A)8x4y5 B)16x4y5 C)4x4y6 D)16x2y3 E)NOTA

4.

Thereare24morecarsthantwicethenumberoftrucksforsaleatadealership.Ifthereare100vehiclesforsale,howmanytrucksarethereforsaleatthisdealership?A)28B)34C)32D)38E)NOTA

5.

(4xy2)-3=

A)–64x3y6B) 6341yxC) 6364

1yx

D)– 63

4yx E)NOTA

6.

Ifaandbrepresentintegers,ab=baisanexampleofwhichproperty?A)AssociativePropertyB)CommutativeProperty C)DistributivePropertyD)ClosureProperty E)NOTA

7. Findtheequationthatbestrepresentsthefollowingword

problem:In a certain freshman class, the number of girls is 83 less than twice the number of boys (b). The total number of students in that freshman class is 259 A)b+2b=259-83 B)b+2b–83=259 C)b+83–2b=259 D)b+2b=259E)NOTA

8.

Thesumofonefifthofanumberandthreeisequaltohalfofthenumber.Whatisthenumber?A)5 B)10 C)15D)20 E)NOTA

9.

Whichoneofthefollowingequalsanegativenumber?

A) (−5)+ 9 B) (−9)+ 5 C) 9+5D) 5 + (−9)+ 4 E) 9 − (−5)

10.

Solvethesystemofequations: 3x+4y=11 x–2y=–3A)x=1y=2

B)x=-1y=43

C)x=2y=–3D)x=1y=–2E)NOTA

11. Jaimeboughtacarin2008for$28,500.By2011,thecar

wasworth$23,700.Basedonalinearmodel,whatwillthevalueofthecarbein2015?A)$17,300 B)$17,550C)$18,100 D)$18,475 E)NOTA

12.

If⎩⎨⎧

−=−=+14103

yxyx

theny=

A)1B)3 C)–2D)137 E)–1

13.

Solve: 52831 −=+y

A)–11B)11 C)99D)96 E)NOTA

14.

Solve:3x+17–5x=12–(6x+3)A)−2 B)4 C)0 D)–4 E)NOTA

15. Youandthreefriendsareeatingapizzawith12pieces.Eachpersoneatsthesamenumberofpieces.Letxrepresentthenumberofpieceseachpersoneats.Whichofthefollowingequationsisanalgebraicmodelforthesituation?

A)3x=12 B) 1231 =x C)4x=12

D) 1241 =x E)NOTA

16. Billyreceiveda$100giftcertificateforagift.Hewantsto

buyshoesthatcost$38andshirtsthatcost$12each.WhichofthefollowinginequalitiesrepresentshowmanyshirtsBillycanbuy?A)n ≤ 6 B) n ≥ 5 C)n < 5 D)n ≤ 5 E)NOTA

17.

Thegirl’svolleyballteamissellingT-shirtsandpennantstoraisemoneyfornewuniforms.IfT-shirtsare$10eachandpennantsare$4each,whichofthefollowingcombinationsofitemssoldwouldmeettheirgoalofraisingmorethan$250.A)16T-shirtsand20pennantsB)20T-shirtsand12pennants C)18T-shirtsand18pennantsD)15T-shirtsand20pennantsE)NOTA

18.

Simplify:(3cd6)3(cd)4A)27c7d10B)27c7d13C)9c7d22D)27c12d72 E)27c7d22

19. Simplify:(4c4+1)–(7c3–3)+(2c4+5c3)A)6c4+2c3–4B)6c4–2c3+4C)6c4–2c3–2D)2c4–2c3–2E)4c+4

20.

Thenumbertenisraisedtoapowerbetween0and1.Theanswerhastobebetweenwhichtwonumbers?

A) 0and1B) 1and10C) 10and100butnot5D) 0and100butnot50E) –10and0

21. Whichofthefollowingistheleast?

A).27B) 14C) 3

8D) 2

11E)11%

22.

Ifx=2andy=−3,then−xy²=A)−36B)−18 C)−12D)12E)18

23.

WhichisclosesttothedistancebetweenAandBonthenumberline?A)-9B)-5C)13D)5E)12

A B -4 0 4

24.

Definep~qbytheequationp~q=p2q3–3q.Then

2~3=

A)108B)27C)99D)117E)89

25.

If7x+4=-19+5x,then2x–14equalsA)23B)-23C)-3D)16E)-37

26.

Whichofthefollowingbestdescribesthecircledpartofthestatement?7x+9=40

A) CoefficientB) VariableC) TermD) ExpressionE) Solution

27.

Solveforx:5x–10=2–2x+10(x–3)A)6B)3C)-3D)-14E)NOTA

28.

Solveforr:A=p+prt

A)

A1+ tp

B)t(A–p)C) A ppt-

D) ptA p-

E)NOTA

29.

WhichexpressionbelowillustratestheAssociativeProperty?A)abc = bac B) 2(x − 3) = 2x − 6 C) (p + 3)− t = p + (3− t) D)5 + (−5) = 0 E)NOTA

30.

Writetheanswerinproperscientificnotation:(7x105)x(3x104)A)21x109B)21x1020C)2.1x108D)2.1x107E)NOTA

31. Simplifythefollowingexpression

2w2z5

3y4⎛⎝⎜

⎞⎠⎟

3

A) 2w5z8

3y7B) 8w

6z15

27y12C) 8w

5z8

27y7

D) 2w6z15

3y12E)NOTA

32.

2 6 3

2 2

x y zx y

=

A)y4B)y4z3 C)z3D)xyzE)y6z3

33. (y²+2y–3)–(4y²–5y–2)=A)–3y²–9y+5 B)–3y²–9y+1 C)–3y²–y+5 D)–3y²+y–5 E)–3y²+7y–1

34.

Findthex-coordinateofthesystem:3x+3y=4x–3y=1

A) 65B) 1

3C)1D) 5

4E) 5

3

35.

Findtheslopeofthelinethatpassesthrough(4,7)and(1,3)

A)− 43B)− 3

4 C) 3

4D) 4

3E) 2

36.

Findtheslopeandy-interceptofthelinewhoseequationis

y =−

32

x + 4

A)slope=2,y-int= 32 B)slope=

−

32,y-int=4

C)slope=2,y-int=−3D)slope=−2,y-int= 32

E)slope= 32,y-int=−2

37.

Findtheequationofthelinecontainingthepoint(−3,5)andhavingslope:4A)y=4x−7 B)y=4x C)y=−4x−24D)y=4x+17 E)NOTA

38.

Solve:4x+5≤3+6xA)x≤–4 B)x≥1 C)x≤4 D)x≥–4 E)x≥4

39.

Whichofthefollowinggraphsrepresentsthesolutionof

�

2x + 3 ≥1A)B)C)D)E)

-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

-5 -4 -3 -2 -1 0 1 2 3 4 5

40. Whichabsolutevalueequationhassolutions x = 8, x = 14? A) x − 3 = 11 B) x − 4 = 12 C) x −11 = 3 D) x −12 = 4 E)NOTA

41.

Whichpairoflinesrepresentgraphsthatareperpendicular?A)y=−3x+5B)y=5x+5 C)2y=4x−16y=–3x+2y=10x+5y=2x–8D)y=9 E)y=x x=5 y=3

42.

Thegraphofx–4y+8=0crossesthey-axisatA)-8B)-2C)0D)2E)8

43.

Whichequationisgraphedtotheright?A)x+y=2B)2x–y=3C)2x+y=3D)2x–y=5E)3x+y=2

44.

Whatisthefirststeptosolvingthisproblem:3x–10=2(x+3)A)add10tobothsidesoftheequationB)subtract3frombothsidesoftheequationC)distributethe2ontherightsideD)divideby3onbothsidesoftheequationE)NOTA

45.46.47.48.49.50.

Solve: x − 85

= 24

A) 92B) 5

2C) 21

2D)18 E)NOTA

Solve:− x4≤ 2

A) x ≤ −8 B) x ≤ 6 C) x ≥ 8 D) x ≥ −8 E)NOTAThesumof3consecutiveintegersis102.Findthelargestinteger.A)33B)35C)37D)39E)NOTA

Evaluate f (x) = 13x, for x = 4

A)113B) 1

12C) 3

4D)−12 E)NOTA

Supposeapopulationof250cricketsdoublesinsizeeverysixmonths.Howmanycricketswilltherebeafter2years?A)4,000cricketsB)6,000cricketsC)2,000cricketsD)1,000cricketsE)NOTA−2.7( )0 A)0B)1C)−1D)−2.7 E)NOTA

1 C 26 D 2 C 27 A 3 E 28 C 4 D 29 C 5 C 30 E 6 B 31 B 7 B 32 B 8 B 33 E 9 B 34 D 10 A 35 D 11 A 36 B 12 A 37 D 13 E 38 B 14 A 39 B 15 C 40 C 16 D 41 D 17 C 42 D 18 E 43 B 19 B 44 C 20 B 45 C 21 E 46 D 22 B 47 B 23 C 48 A 24 C 49 A 25 E 50 B

Answers