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Common Core Standard HSA-REI.B.4a Questions

Use the method of completing the square to transform any quadratic equation in x into an equation of the form (xp)2 = q that has the same solutions. Derive the quadratic formula from this form.

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Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4a
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4a
Which equation has the same solutions as x2+6x-7=0?
  1. (x+3)2=2
  2. (x-3)2=2
  3. (x-3)2=16
  4. (x+3)2=16
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4a
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4a, HSF-IF.C.8, HSF-IF.C.8a
If you complete the square for x2-10x=14, what will the factored quadratic be?
  1. (x-5)2=39
  2. (x-5)2=114
  3. (x+5)2=114
  4. (x+5)2=39
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4a
Which of the following would be a correct step in completing the square to solve for the roots?
x2-24x+80
  1. (x-12)2=64
  2. (x-12)2=64
  3. (x-12)2=-64
  4. (x-12)2=-64
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4a
Which of the following would be a correct step in completing the square to solve for the roots?
x2+4x+29
  1. (x+2)2=5i
  2. x+2=±5i
  3. (x-2)2=±-25
  4. (x-2)2=-25
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4a
Which of the following would be a correct step in completing the square to solve for the roots?
x2-8x-48
  1. x2-4=64
  2. x2-4=64
  3. (x-4)2=64
  4. (x-4)2=64
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4a
Which of the following would be a correct step in completing the square to solve for the roots?
x2+6x+34
  1. x=-3±5i
  2. x2+6x+34=25
  3. x2+6x+9=25
  4. x=5i±3
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4a
Which of the following would be a correct step in completing the square to solve for the roots?
x2+2x-13
  1. x2+1=14
  2. (x+1)2=14
  3. (x+1)2=14
  4. x2+1=±14

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