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Common Core Standard HSA-REI.C.8 Questions

(+) Represent a system of linear equations as a single matrix equation in a vector variable.

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Grade 12 Matrices CCSS: HSA-REI.C.8
Which matrix below properly represents the system of equations?
[math]3x+8y-23z=14[/math], [math]34x-2y+53z=102[/math], [math]18x+51y+4z=16[/math]
  1. [math][[3,34,18],[8,-2,51],[-23,53,4]]*[[x],[y],[z]]=[[14],[102],[16]][/math]
  2. [math][[3,8,-23],[34,-2,53],[18,51,4]]*[[x],[y],[z]]=[[14],[102],[16]][/math]
  3. [math][ [3,34,18],[8,-2,51],[-23,53,4] ]*[[z],[y],[x]]=[[16],[102],[14]][/math]
  4. [math][ [3,8,-23],[34,-2,53],[18,51,4] ]*[[x],[y],[z]]*[[14],[102],[16]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.8
Which matrix below properly represents the system of equations?
[math]19z+2y+34z-8=32[/math], [math]z+2x+4-12y=7[/math], [math]15x+24z-3y=11[/math]
  1. [math][ [0,2,32],[2,-12,7],[15,-3,24] ]*[[x],[y],[z]]=[[32],[7],[11]][/math]
  2. [math][ [0,2,53],[2,-12,1],[15,-3,24] ]*[[x],[y],[z]]=[[40],[3],[11]][/math]
  3. [math][ [0,2,53],[2,-12,1],[15,-3,24] ]*[[z],[y],[x]]=[[40],[3],[11]][/math]
  4. [math][ [0,2,15],[2,-12,-3],[53,1,24] ]*[[x],[y],[z]]=[[11],[7],[32]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.8
Which matrix below properly represents the system of equations?
[math]19z+2y+6x=26[/math], [math]x-12z-3y=17[/math], [math]5x+14z+13x-5=13[/math]
  1. [math][ [6,1,18],[2,-3,0],[19,-12,14] ]*[[x],[y],[z]]=[[18],[17],[26]][/math]
  2. [math][ [6,1,18],[2,-3,0],[19,-12,14] ]*[[x],[y],[z]]=[[26],[17],[18]][/math]
  3. [math][ [6,1,18],[2,-3,0],[19,-12,14] ]*[[z],[y],[x]]=[[26],[17],[13]][/math]
  4. [math][ [6,2,19],[1,-3,-12],[18,0,14] ]*[[x],[y],[z]]*[[26],[17],[18]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.8
Which matrix below properly represents the system of equations?
[math]13x+5y+3z=28[/math], [math]4x-2z+3z=12[/math], [math]15x+52y+4y=13[/math]
  1. [math][[13,5,3],[4,0,1],[15,56,0]]*[[x],[y],[z]]=[[28],[12],[13]][/math]
  2. [math][[3,1,0],[5,0,56],[13,4,15]]*[[x],[y],[z]]=[[28],[12],[13]][/math]
  3. [math][ [3,5,13],[1,,54],[,56,15] ]*[[z],[y],[x]]=[[13],[12],[28]][/math]
  4. [math][ [13,5,3],[4,0,1],[15,56,0] ]*[[x],[y],[z]]*[[13],[12],[28]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.8
Which matrix below properly represents the system of equations?
[math]9x+12y+34z=23[/math], [math]z+2x+8-2y=9[/math], [math]5x+14z+3y=15[/math]
  1. [math][ [9,2,5],[12,-2,14],[34,1,3] ]*[[x],[y],[z]]=[[23],[1],[15]][/math]
  2. [math][ [9,2,5],[12,-2,14],[34,1,3] ]*[[x],[y],[z]]=[[23],[9],[15]][/math]
  3. [math][ [9,12,34],[2,-2,1],[5,3,14] ]*[[x],[y],[z]]=[[23],[1],[15]][/math]
  4. [math][ [9,12,34],[2,-2,1],[5,14,3] ]*[[x],[y],[z]]=[[23],[9],[15]][/math]

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