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Systems of Equations Questions - All Grades

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Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8c
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 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
Solve the system.
y = 5x − 2
y = −3x + 6
  1. (2, 4)
  2. (1, 3)
  3. (2, 8)
  4. (4, 2)
Grade 10 Systems of Equations CCSS: HSA-CED.A.3, HSA-REI.C.6
If you pay $11 for 1 apple and 9 bananas and pay $7 for 3 apples and 1 banana, how much does an apple and a banana cost?
  1. Apple = $ -1 Banana = $2/3
  2. Apple = $2 Banana = $1
  3. Apple = $1 Banana = $4/9
  4. Apple = $1/2 Banana = $1/2
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
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 10 Systems of Equations CCSS: HSA-REI.C.6
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 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
[math]x+y=8[/math]
[math]2x-y=1[/math]
  1. [math](5, 2)[/math]
  2. [math](2/5, 2/11)[/math]
  3. [math](2, 5)[/math]
  4. [math](3, 5)[/math]
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
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