GRADE8MATH

NAME DATE PERIOD

Unit4,Lesson10:PracticeProblems Downloadforfreeatopenupresources.org 1

Unit4,Lesson10:PracticeProblems1.

a. Matchthelines𝑚and𝑛tothestatementstheyrepresent:

i. Asetofpointswherethecoordinatesofeachpointhaveasumof2

ii. Asetofpointswherethe𝑦-coordinateofeachpointis10lessthanits𝑥-coordinate

b. Matchthelabeledpointsonthegraphtostatementsabouttheircoordinates:

i. Twonumberswithasumof2

ii. Twonumberswherethe𝑦-coordinateis10lessthanthe𝑥-coordinate

iii. Twonumberswithasumof2andwherethe𝑦-coordinateis10lessthanthe𝑥-coordinate

GRADE8MATH

NAME DATE PERIOD

Unit4,Lesson10:PracticeProblems Downloadforfreeatopenupresources.org 2

2. Hereisanequation:4𝑥 − 4 = 4𝑥 + __.Whatcouldyouwriteintheblanksotheequationwouldbetruefor:

a. Novaluesof𝑥

b. Allvaluesof𝑥

c. Onevalueof𝑥

3. Maiearns$7perhourmowingherneighbors'lawns.Shealsoearned$14forhaulingawaybagsofrecyclablesforsomeneighbors.

Priyababysitsherneighbor’schildren.Thetableshowstheamountofmoney𝑚sheearnsinℎhours.PriyaandMaihaveagreedtogotothemoviestheweekendaftertheyhaveearnedthesameamountofmoneyforthesamenumberofworkhours.

ℎ 𝑚 1 $8.40

2 $16.80

4 $33.60a. Howmanyhoursdotheyhavetoworkbeforetheygotothemovies?

b. Howmuchwilltheyhaveearned?

c. Explainwherethesolutioncanbeseenintablesofvalues,graphs,andequationsthatrepresentPriya'sandMai'shourlyearnings.

4. Foreachequation,explainwhatyoucoulddofirsttoeachsideoftheequationsothattherewouldbenofractions.Youdonothavetosolvetheequations(unlessyouwantmorepractice).

a. !!!!!

= !!!!

b. !(!!!)!

= !!!!

c. !!!!!

= !!!!

d. !(!!!)!"

= !!!!