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Common Core Standard 8.EE.C.8b Questions

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

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Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
y=3x+4
y=-2x-1
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 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=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
The lines 3y=x-2 and 6y+2x=4 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=x and y=3x-2?
  1. (1,-2)
  2. (1,3)
  3. (1,1)
  4. No solution
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=2x-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
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
The lines 4y-2y+3x=2x+8 and y=3x+5 have
  1. no solutions.
  2. 1 solution.
  3. infinitely many solutions.
  4. 2 solutions.
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