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Ninth Grade (Grade 9) Systems of Equations Questions

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Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
[math]-x+y=3[/math]
[math]x+y=7[/math]
  1. x=3, y=1
  2. x=2, y=5
  3. x=1, y=1
  4. x=4, y=2
  5. x=5, y=2
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
What is the solution to the system of equations?
[math]y=x+6[/math]
[math]3x+2y=2[/math]
  1. (-4, 7)
  2. (-2, 4)
  3. (2, 8)
  4. (4, 10)
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Two or more linear equations in the same variable form
  1. a point of intersection.
  2. a solution of a linear system.
  3. perpendicular lines.
  4. a system of linear equations.
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
There are three ways to solve systems of linear equations. One is graphing. What are the other two?
  1. elimination, substitution
  2. linear combinations, eliminations
  3. eliminations, graphing
  4. substitution, graphing
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
At what point do the lines [math]y = 5x + 2[/math] and [math]y = 6x - 3[/math] intersect?
  1. (-1, 7)
  2. (5, 27)
  3. (8, 14)
  4. (11, -4)
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
[math]x+3y=9[/math]
[math]4x-2y=-6[/math]
  1. x=0, y=0
  2. x=3, y=7
  3. x=1, y=2
  4. x=3, y=3
  5. x=0, y=3
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 9 Systems of Equations CCSS: HSA-REI.C.6
Solving Systems of Equations by ELIMINATION Method.

[math]x − y = 11[/math]
[math]2x + y = 19[/math]
  1. (-8, −1)
  2. (10, −1)
  3. (11, −9)
  4. (6, 3)
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 9 Systems of Equations CCSS: HSA-REI.C.6
At what point do the lines [math]y = 4x -10[/math] and [math]y = 7x + 11[/math] intersect?
  1. (-7, -38)
  2. (-5, -10)
  3. (-3, -10)
  4. (-1, 4)
Grade 9 Systems of Equations
Which of the following is NOT a method for solving systems of linear equations?
  1. Solve by graphing.
  2. Solve by substitution.
  3. Solve by elimination.
  4. Solve by contribution.
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve the linear equations for x and y by using the elimination method.

[math]5x - 7y = -2[/math]
[math] x - 4y = -3[/math]
  1. x = 1, y = 1
  2. x = 1, y = 2
  3. x = -1, y = 1
  4. x = -1, y = -1
  5. x= 2, y = 1
Grade 9 Systems of Equations
What is the solution for the following system of equations?
2x – y = 3
y = 5x + 3
  1. (-7,-2)
  2. (-7,2)
  3. (-2,-7)
  4. (2,7)
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