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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-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 10 Systems of Equations CCSS: HSA-CED.A.3, HSA-REI.C.6
The sum of 2 numbers is 48, and their difference is 24. What are the numbers?
  1. 40 and 8
  2. 32 and 16
  3. 36 and 12
  4. 24 and 24
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
What is the solution to the system?
[math]y = 11x-27[/math]
[math]y = 7x-11[/math]
  1. (4,17)
  2. (-4,-71)
  3. (17,4)
  4. (-71,-4)
  5. none of these are correct
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Which linear system has the solution x = –2 and y = 6?
  1. x + 3y = 16 & 4x + 4y = 16
  2. x + 3y = 17 & 2x + y = 15
  3. x + 2y = –2 & 2x + 4y = –4
  4. 2x + y = –2 & x + y = 16
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve this system of equations.
[math]4x - 2y =8[/math]
[math]-5x + 3y = 9[/math]
  1. [math]x = 12, y = 15[/math]
  2. [math]x = 21, y = 38[/math]
  3. [math]x = 9, y = 8[/math]
  4. [math]x = -12, y = -15[/math]
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