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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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Which matrix represents the system of equations $2x=8$ and $6=3y+x$?
1. $[[2,8,0],[6,3,1]]$
2. $[[8,2,0],[6,3,1]]$
3. $[[0,2,8],[6,3,1]]$
4. $[[2,0,8],[1,3,6]]$
Which matrix represents the system of equations $3y+8x=16$ and $2x-4y=7$?
1. $[[3,8,16],[2,-4,7]]$
2. $[[16,8,3],[7,-4,2]]$
3. $[[8,3,16],[2,-4,7]]$
4. $[[7,-4,2],[16,8,3]]$
Jack is keeping track of the scores for his favorite teams 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. $[[67,103,89],[109,86,111],[42,99,121]]$
2. $[[67,86,99],[103,109,121],[89,111,42]]$
3. $[[42,99,121],[111,86,109],[67,103,89]]$
4. $[[67,109,42],[103,86,99],[89,111,122]]$
Which matrix represents the system of equations $2x+5y=32$ and $4x-3y=14$?
1. $[[-2,-5,-32],[-4,3,-14]]$
2. $[[2,5,32],[4,-3,14]]$
3. $[[32,5,2],[4,-3,14]]$
4. $[[2,32,5],[14,-3,4]]$
Which matrix represents the system of equations $y-x=18$ and $x-4=2y$?
1. $[[1,2,-4],[-1,1,18]]$
2. $[[1,-1,18],[1,2,-4]]$
3. $[[18,-1,1],[2,-4,1]]$
4. $[[1,18,-1],[1,2,-4]]$