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Systems of Equations Questions - All Grades

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Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system.

-2x+y=-7
4x+3y=9
  1. x = -1, y = 3
  2. x = 3, y = -1
  3. x = 2, y = 3
  4. x = 1, y = -2
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=-2x+2 and y=2x+14?
  1. (2,14)
  2. (2,2)
  3. (-3,8)
  4. No solution
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines y=2x+5 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
The lines y+x=2x-6 and y-x=-6 have
  1. no solutions.
  2. 1 solution.
  3. infinitely many solutions.
  4. 2 solutions.
Grade 11 Systems of Equations CCSS: HSA-REI.C.6
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=-x and y=x+2?
  1. (-1,1)
  2. (-2,2)
  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-2 and y=x+4?
  1. (2,2)
  2. (6,10)
  3. (-6,-10)
  4. No solution
Grade 9 Systems of Equations
Give the number of solutions.

2x + y = 2
y - 2 = -2x
  1. one solution
  2. no solution
  3. infinite number of solutions
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=12x-3 and y=12x+3?
  1. (-3,3)
  2. (-3,6)
  3. (12,3)
  4. No solution
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
What is the solution to y=5x-7 and y=5x+1?
  1. (12,3)
  2. (-25,-6)
  3. (25,-6)
  4. No solution
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
Grade 8 Systems of Equations CCSS: 8.EE.C.8
Two lines are described by the equations y=3x+4 and y-43=x. If we were to solve this system of equations, what could we say about the solution(s)?
  1. There are infinitely many solutions.
  2. There is one solution.
  3. There are no solutions.
  4. There are two solutions.
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