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Eighth Grade (Grade 8) Systems of Equations Questions

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Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8c
Kim is 3 times as old as her cousin. The total of their ages is 36 years. How old is Kim's cousin?
  1. 9 years old
  2. 12 years old
  3. 27 years old
  4. 33 years old
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
Solve the system.
y = 5x − 2
y = −3x + 6
  1. (2, 4)
  2. (1, 3)
  3. (2, 8)
  4. (4, 2)
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=2x-12 and y=x-4?
  1. (-12,-4)
  2. (8,4)
  3. (2,1)
  4. No solution
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=-2x+10 and y=x-2?
  1. (-2,5)
  2. (2,5)
  3. (4,2)
  4. No solution
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines 4y-3y=3x+8 and y=3x+5 have
  1. no solutions.
  2. 1 solution.
  3. infinitely many solutions.
  4. 2 solutions.
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=5x-7 and y=x+1?
  1. (2,3)
  2. (5,-6)
  3. (4,-6)
  4. No solution
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=5x+5 and y=x+5?
  1. (0,0)
  2. (0,5)
  3. (5,0)
  4. No solution
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=2x+4 and y=x-5?
  1. (-9,-14)
  2. (-14,-9)
  3. (4,-5)
  4. No solution
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines y=x+8 and 3y-2x=2y+5 have
  1. no solutions.
  2. 1 solution.
  3. infinitely many solutions.
  4. 2 solutions.
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=4x+4 and y=8x+8?
  1. (0,-1)
  2. (-1,0)
  3. (0,0)
  4. No solution
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