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Common Core Standard HSA-REI.C.6 Questions

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

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Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve for x and y.
3x - 4y = 26
x - 8y = 22
  1. x=6, y= -2
  2. x=4, y=3
  3. x=1, y=6
  4. x= -3, y=4
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve by substitution.

-x + y = -4
y = 2x - 11
  1. (7, 3)
  2. (-7, 3)
  3. (3, 7)
  4. (-3, -7)
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Which system of equations has no solutions?
  1. a-b=2,   b=-a-3
  2. a-b=3,   a+b=-2
  3. -a+b=-2,   b=a+3
  4. a+b=3,   -a+b=2
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system.
4x-6y=18
-2x+3y=9
  1. (0, - 3)
  2. (4.5, 0)
  3. No Solution
  4. Infinitely Many Solutions
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
y=x-8
y=-3x
  1. (2,-6)
  2. (-2,6)
  3. (3,-9)
  4. (1,7)
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve by elimination.

x + y = 12
2x + 5y = 27
  1. (1, 11)
  2. (2, -4)
  3. (-5, -1)
  4. (11, 1)
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
2x + 9y = 0
3x + 5y = 17
  1. (-9, 2)
  2. (-9, -0)
  3. (9, -2)
  4. (-2, 9)
Grade 11 Systems of Equations CCSS: HSA-REI.C.6
What is the solution to the system?
-3x+2y=8x+2y=-8
  1. (-4,-2)
  2. (4,2)
  3. (-2,-4)
  4. (2,4)
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system using the substitution method.
y=x-2
2x+2y=4
  1. (2,0)
  2. (0,2)
  3. (0,-2)
  4. (-2,0)
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
What is the solution to this system of equations y=2x+3 and y=2x+8?
  1. No solution
  2. Infinitely many solutions
  3. (0,0)
  4. (2,5)
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