FACTORING POLYNOMIALS: GCF QUIZ WITH
WORKED OUT SOLUTIONS
Mara rcarried rwater rbottles rto rthe rfield rto rshare rwith rher rteam rat rhalftime. rThe rwater
rbottles rweighed ra rtotal rof r60x2 r+ r48x r+ r24 rounces. r- rCORRECT✅✅B) r12(5x2 r+
r4x r+ r2)
Which rexpression ris requivalent rto r10x2y r+ r25x2? r- rCORRECT✅✅A) r5x2(2y r+ r5)
What ris rthe rfactored rform rof r3x+24y? r- rCORRECT✅✅A) r3(x+8y)
Six requilateral rtriangles rare rconnected rto rcreate ra rregular rhexagon. rThe rarea rof rthe
rhexagon ris r24a2 r- r18 rsquare runits. rWhich ris ran requivalent rexpression rfor rthe rarea
rof rthe rhexagon rbased ron rthe rarea rof ra rtriangle? r- rCORRECT✅✅A) r6(4a2 r- r3)
Harriet rearns rthe rsame ramount rof rmoney reach rday. rHer rgross rpay rat rthe rend rof r7
rworkdays ris r35h+56 rdollars. rWhich rexpression rrepresents rher rgross rpay reach rday?
r- rCORRECT✅✅5h+8
The rvolume rof ra rprism ris rthe rproduct rof rits rheight rand rarea rof rits rbase, rV r= rBh. rA
rrectangular rprism rhas ra rvolume rof r16y4 r+ r16y3 r+ r48y2 rcubic runits. rWhich rcould rbe
rthe rbase rarea rand rheight rof rthe rprism? r- rCORRECT✅✅D) ra rbase rarea rof r16y2
rsquare runits rand rheight rof ry2 r+ ry r+ r3 runits
What ris rthe rgreatest rcommon rfactor rof r42a5b3, r35a3b4, rand r42ab4? r-
rCORRECT✅✅7ab3
What ris rthe rgreatest rcommon rfactor rof r24s3, r12s4, rand r18s? r- rCORRECT✅✅6s
What ris rthe rgreatest rcommon rfactor rof r4k, r18k4, rand r12? r- rCORRECT✅✅2
What ris rthe rfully rfactored rform rof r32a3 r+ r12a2? r- rCORRECT✅✅A) r4a2(8a r+ r3)
WORKED OUT SOLUTIONS
Mara rcarried rwater rbottles rto rthe rfield rto rshare rwith rher rteam rat rhalftime. rThe rwater
rbottles rweighed ra rtotal rof r60x2 r+ r48x r+ r24 rounces. r- rCORRECT✅✅B) r12(5x2 r+
r4x r+ r2)
Which rexpression ris requivalent rto r10x2y r+ r25x2? r- rCORRECT✅✅A) r5x2(2y r+ r5)
What ris rthe rfactored rform rof r3x+24y? r- rCORRECT✅✅A) r3(x+8y)
Six requilateral rtriangles rare rconnected rto rcreate ra rregular rhexagon. rThe rarea rof rthe
rhexagon ris r24a2 r- r18 rsquare runits. rWhich ris ran requivalent rexpression rfor rthe rarea
rof rthe rhexagon rbased ron rthe rarea rof ra rtriangle? r- rCORRECT✅✅A) r6(4a2 r- r3)
Harriet rearns rthe rsame ramount rof rmoney reach rday. rHer rgross rpay rat rthe rend rof r7
rworkdays ris r35h+56 rdollars. rWhich rexpression rrepresents rher rgross rpay reach rday?
r- rCORRECT✅✅5h+8
The rvolume rof ra rprism ris rthe rproduct rof rits rheight rand rarea rof rits rbase, rV r= rBh. rA
rrectangular rprism rhas ra rvolume rof r16y4 r+ r16y3 r+ r48y2 rcubic runits. rWhich rcould rbe
rthe rbase rarea rand rheight rof rthe rprism? r- rCORRECT✅✅D) ra rbase rarea rof r16y2
rsquare runits rand rheight rof ry2 r+ ry r+ r3 runits
What ris rthe rgreatest rcommon rfactor rof r42a5b3, r35a3b4, rand r42ab4? r-
rCORRECT✅✅7ab3
What ris rthe rgreatest rcommon rfactor rof r24s3, r12s4, rand r18s? r- rCORRECT✅✅6s
What ris rthe rgreatest rcommon rfactor rof r4k, r18k4, rand r12? r- rCORRECT✅✅2
What ris rthe rfully rfactored rform rof r32a3 r+ r12a2? r- rCORRECT✅✅A) r4a2(8a r+ r3)
