Grade 8 Expressions & Equations Review
1.(8EE8a)
Lucygraphed asystemof linearequations.
What isthesolutiontothesystemofequations?
A (-4, 2) B (-1,3) C (0,2) D (2,4)
2.(8EE7a)
What isthesolution totheequation below?
2(x – 3) = 2x + 5
A 2¾ B - 2¾ C Thereis nosolution D Thereareinfinitely manysolutions.
3.(8EE1)
Simplify: 48
4-4
A 4-32 B 4-2 C 44 D 412
4.(8EE4)
Kyeth sorted allthe soilinasample into 10batches. Each batch had amass of
3.94x10-8gram. What was the total mass ofthe original soilsample?
A 3.94x108 B 3.94x10-7 C 3.94x10-9 D 3.9410-18
5.(8EE7b)
What isthe solution to the equation below?
¾ (4x – 8) = 12
A 2 B 2¾ C 6 D 6⅔
6.(8EE3)
The estimatedareas oftwo lakes inacampground are 5x105 squareyardsand
6x106squareyards.Howdoesthe areaofthe larger lakecomparetotheareaofthe smallerlake?
A Itis1.2timesgreater. BItis1.5timesgreater.
C Itis8timesgreater. D Itis12timesgreater.
7. (8EE6)
What istheequation ofthe lineshownonthe grid below?
A y=2x+3 B y=2x-3 C y=3x+2 D y=3x-2
8. (8EE4)
At agiventime, Saturn was 9.1x108 milesfrom the SunandEarthwas9.3x107miles from the Sun.Bywhatdistanceisoneplanet closertothe Sunthan theother planet?
A 2x 101 B 2x1015 C 8.17x107 D 8.17x108
9. (8EE1)
Whichexpressionis notequivalent to 63
66
A 1 B 6-3 C 1 D 1
62 216 63
10. (8EE3)
Alabhastwobacteriacultures.CultureAcontains 8x104 bacteria, andculture B contains
4x106 bacteria. Howdothetwo culturescompare insize?
A Culture A contains twice as many bacteria as culture B
B CultureAcontains ½asmanybacteriaasculture B.
C CultureAcontains asmanybacteriaasculture B.
D CultureAcontains asmanybacteriaasculture B.
11. (8EE4)
Evaluate (2.4 x 104)(4.5 x 103)
A 1.08 x 107 B 1.08 x 108 C 1.08 x 1012 D 1.08 x 1013
12 (8EE3)
Amicronisapproximately 4x10-5 inch.Thediameterofthe circularholemadebya pininasheetofpaperis2,000 microns.Whichamount isclosesttothe diameter ofthe circularhole?
A 2X10-2inch B 8x10-2 inch C 2x10-3inch D 8x 10-3inch
13. (8EE8b)
What isthesolution tothesystemofequations below?
3x + 4y = -2
2x – 4y = -8
A x = 2, y = 2 B x = 6, y = -2 C x = 4, y = 4 D x = -2, y = 1
14. (8EE5)
Theequation y=12xgivesPhilip'searningsindollars y,forworking xhours.The table below showsFiona'searningsatherjob.
How much more does Fiona earn per hour than Philip?
A $2 B $6 C $14 D $30
15.(8EE6)
Whichequation representsthe lineshownon the coordinate grid below?
A y = x - 2 B y = x + 5 C y = -x - 2 D y = -x + 5
16.(8EE5)
KyleandMartinjogged atconstantspeeds.
- Theequation y =7xrepresentsthedistanceinmiles,y, Kylejogged over xhours.
- Thegraph belowdisplaystherelationshipbetween thedistanceandthe number ofhoursMartin jogged.
Whichstatement istrue?
A Kyleisjogging 1mileperhourfasterthan Martin.
B Martin isjogging 1 mileperhourfasterthan Kyle.
C Kyleisjogging 7milesperhourfasterthan Martin.
D Martin isjogging 7milesperhourfasterthan Kyle.
17. (8EE8c)
Linelcontainspoints (-2, -4) and (4, 2). Linekcontains points (-1, 6) and (4, -4)
Whichstatement describestheintersectionoftheselines?
A Theyintersectonthex-axis. B Theyintersectonthey-axis.
C Theyareparallel anddonot intersect. D Theyarethesamelineandintersectateverypoint
18. (8EE7b)
What isthesolution totheequation below?
3(2x -4) + 2(x + 7) = 6
A x = ⅜ B x = ½ C x = D x =
19. (8EE7b)
Solvethe equationbelowfor d.
0.2(d – 6) = 0.3d + 5 – 3 + 0.1d
Showyour work.
Answerd= ______
20. (8EE5)
Aliciawantstobuya6-month gymmembership andiscomparing pricesfrom two different gyms.Goose'sGymcharges$40permonthplusaone-time$80sign-upfee; whereasSilver's Gymcharges$50permonth andnoother fees.Whichofthegyms offersabetter dealtoAliciafor a6-month membership andbyhow much?
Showyourworkorexplainhowyougotyouranswer.
Answer ______
21. (8EE8b)
Solvegraphicallythesystemoflinear equations below.
y=-2x +3
y = 2x-1
Graphtheequations onthe coordinate grid.
What isthe solution tothe systemof linear equations?
Answer ______
22. (8EE7a)
IfGeraldweretographthe equations + = 2and + = 4 onthesame coordinate plane,howmanysolutionstothesystemofequationsshouldheexpect?
Explainyouranswer.
______
IfGeraldweretographtheequations 3x+2y=12and + = 2 onthesame coordinateplane,where shouldthe linesintersect?Explainyour answer.
______
23. (8EE6)
Studentsorganizeda12-hour "dance-a-thon" asafundraiser fortheir summercamp. Thegraphbelowrepresentstheamount ofmoneythey raisedduring thefirst 8hours.
What wasthe amount ofmoneyraisedperhour during thefirst 8hours?
Show yourwork or explain how you determinedyour answer.
Answer $______perhour
Duringthe next4hoursofthe dance-a-thon, thestudents raisedmoneyattwice the hourly rateofthefirst8hours.
Onthecoordinate plane,completethe graph forthenext4hours torepresentthetotal amount ofmoneyraisedatthe dance-a-thon. Usewordsand numbersonthefollowinglinesto explain howyouknewwhere to drawthe graph.
______