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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 10 Systems of Equations CCSS: HSA-REI.C.6
[math]3x+5y=-2[/math]
[math]5x+3y=2[/math]
  1. x = -1 y = 1
  2. x = 3/5 y = 5/3
  3. x = 1 y = -1
  4. x = 5 y = 3
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Lupita has $2.50 worth of nickels and dimes. She has 36 coins in total. How many nickels and dimes does she have? Solve using substitution.
  1. 12 dimes and 24 nickels
  2. 13 dimes and 23 nickels
  3. 14 dimes and 22 nickels
  4. 15 dimes and 21 nickels
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Which linear system has the solution [math]x=-2[/math] and [math]y=6[/math]?
  1. [math]x+3y=16; \ \ \ 4x+4y=16[/math]
  2. [math]x+2y=-2; \ \ \ 2x+4y=-4[/math]
  3. [math]x+3y=17; \ \ \ 2x+y=15[/math]
  4. [math]2x+y=-2; \ \ \ x+y=16[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations by graphing.
[math]y=1/4x+2[/math]
[math]y=-x-3[/math]
Coordinate Plane - 10x10 - Blank
  1. (4, -1)
  2. (1, -1)
  3. (-4, 1)
  4. (4, 4)
Grade 11 Systems of Equations CCSS: HSA-REI.C.6
What is the solution to the following system?

[math]{:(x+2y+3z = ,-5),(3x+y-3z = , 4),(-3x+4y+7z = , -7):}[/math]
  1. [math](-1,0,-2)[/math]
  2. [math](1,1,2)[/math]
  3. [math](-1,1,-2)[/math]
  4. [math](0,1,2)[/math]
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