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Common Core Standard HSN-VM.C.6 Questions

(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.

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Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations [math]2x=8[/math] and [math]6=3y+x[/math]?
  1. [math][[2,8,,0],[6,3,,1]][/math]
  2. [math][[8,2,,0],[6,3,,1]][/math]
  3. [math][[0,2,,8],[6,3,,1]][/math]
  4. [math][[2,0,,8],[1,3,,6]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations [math]3y+8x=16[/math] and [math]2x-4y=7[/math]?
  1. [math][[3,8,,16],[2,-4,,7]][/math]
  2. [math][[16,8,,3],[7,-4,,2]][/math]
  3. [math][[8,3,,16],[2,-4,,7]][/math]
  4. [math][[7,-4,,2],[16,8,,3]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Jack is keeping track of the scores for his favorite teams in a series of basketball games. He records the initials of the team and score for each game. Which matrix represents the data he collected?
Round 1
SC 67
RG 103
PD 89

Round 2
RG 109
SC 86
PD 111

Round 3
PD 42
SC 99
RG 121
  1. [math][[67,103,89],[109,86,111],[42,99,121]][/math]
  2. [math][[67,86,99],[103,109,121],[89,111,42]][/math]
  3. [math][[42,99,121],[111,86,109],[67,103,89]][/math]
  4. [math][[67,109,42],[103,86,99],[89,111,122]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations [math]2x+5y=32[/math] and [math]4x-3y=14[/math]?
  1. [math][[-2,-5,, -32],[-4,3,, -14]][/math]
  2. [math][[2,5,,32],[4,-3,,14]][/math]
  3. [math][[32,5,,2],[4,-3,,14]][/math]
  4. [math][[2,32,,5],[14,-3,,4]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations [math]y-x=18[/math] and [math]x-4=2y[/math]?
  1. [math][[1,-2,,4],[-1,1,,18]][/math]
  2. [math][[1,-1,,18],[1,2,,-4]][/math]
  3. [math][[18,-1,,1],[2,-4,,1]][/math]
  4. [math][[1,18,,-1],[1,2,,-4]][/math]

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