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Completing the Square

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Completing the Square Answer Key

1. 
Complete the square to find the minimum or maximum value.
[math]x^2+4x-2[/math]
  1. [math]-2[/math]
  2. [math]-6[/math]
  3. [math]4[/math]
  4. [math]0[/math]
2. 
Complete the square to find the minimum or maximum value.
[math]x^2-8x+6[/math]
  1. [math]-22[/math]
  2. [math]11/2[/math]
  3. [math]16/3[/math]
  4. [math]-10[/math]
3. 
Complete the square to find the minimum or maximum value.
[math]x^2+5x-2[/math]
  1. [math]-10[/math]
  2. [math]33[/math]
  3. [math]-33/4[/math]
  4. [math]-2[/math]
4. 
Complete the square to find the minimum or maximum value.
[math]x^2+12x-3[/math]
  1. [math]0[/math]
  2. [math]-39[/math]
  3. [math]-36/5[/math]
  4. [math]-23/4[/math]
5. 
Complete the square to find the minimum or maximum value.
[math]x^2-3x+2[/math]
  1. [math]-1/4[/math]
  2. [math]-5[/math]
  3. [math]-7/5[/math]
  4. [math]17/4[/math]
6. 
Complete the square to find the minimum or maximum value.
[math]x^2-5x+8[/math]
  1. [math]27/5[/math]
  2. [math]7/4[/math]
  3. [math]-71/5[/math]
  4. [math]17/3[/math]
7. 
Complete the square to find the minimum or maximum value.
[math]x^2+18x-81[/math]
  1. [math]18/2[/math]
  2. [math]0[/math]
  3. [math]-81[/math]
  4. [math]-162[/math]
8. 
Complete the square to find the minimum or maximum value.
[math]x^2-7x+14[/math]
  1. [math]7/4[/math]
  2. [math]21/2[/math]
  3. [math]-7/2[/math]
  4. [math]10[/math]
9. 
Complete the square to find the minimum or maximum value.
[math]x^2+1/2x-3/5[/math]
  1. [math]-17/10[/math]
  2. [math]25/6[/math]
  3. [math]-53/80[/math]
  4. [math]235/8[/math]
10. 
Complete the square to find the minimum or maximum value.
[math]x^2-3/2x+1/2[/math]
  1. [math]-1/16[/math]
  2. [math]0[/math]
  3. [math]-253/7[/math]
  4. [math]121/2[/math]

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