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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. [math]a - b = 2, \ \ \ b = -a - 3[/math]
  2. [math]a-b=3, \ \ \ a+b=-2[/math]
  3. [math]-a+b=-2, \ \ \ b=a+3[/math]
  4. [math]a+b=3, \ \ \ -a+b=2[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system.
[math]4x-6y=18[/math]
[math]-2x+3y=9[/math]
  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.
[math]y=x-8[/math]
[math]y=-3x[/math]
  1. [math](2,-6)[/math]
  2. [math](-2,6)[/math]
  3. [math](3,-9)[/math]
  4. [math](1,7)[/math]
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?
[math]{:(,-3x+2y=8),(,x+2y=-8):}[/math]
  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.
[math]y= x-2[/math]
[math]2x+2y=4[/math]
  1. [math](2,0)[/math]
  2. [math](0,2)[/math]
  3. [math](0,-2)[/math]
  4. [math](-2,0)[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
What is the solution to this system of equations [math]y=2x+3[/math] and [math]y=2x+8[/math]?
  1. No solution
  2. Infinitely many solutions
  3. (0,0)
  4. (2,5)
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