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Completing the Square - Practice #2 (Grade 10)

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Completing the Square - Practice #2

1. 
If you complete the square for [math]x^2-10x=14[/math], what number do you add to both sides of the equation?
  1. 10
  2. 100
  3. 5
  4. 25
2. 
Complete the square for the expression.
[math]x^2 +10x[/math]
  1. [math](x+5)^2 - 25[/math]
  2. [math](x-5)^2 - 25[/math]
  3. [math](x+10)^2 + 25[/math]
  4. [math](x-10)^2 + 25[/math]
3. 
Determine the vertex form of [math]y = x^2 + 8x + 10[/math].
  1. [math]y = (x + 4)^2 + 10[/math]
  2. [math]y = (x + 4)^2 - 6[/math]
  3. [math]y = (x + 4)^2 + 26[/math]
  4. [math]y = (x - 4)^2 - 6[/math]
4. 
Which shows the quadratic expression [math]-x^2 +4x -3[/math] written in the form [math]k-a(x-h)^2 [/math]?
  1. [math]1-(x+2)^2 [/math]
  2. [math]1-(x-2)^2[/math]
  3. [math]3-(x+2)^2[/math]
  4. [math]3-(x-2)^2[/math]
5. 
Complete the square and put in vertex form.
[math]y=x^2-10x+22[/math]
  1. [math]y=(x-11)^2+5[/math]
  2. [math]y=(x-5)^2-3[/math]
  3. [math]y=(x+5)^2-3[/math]
  4. [math]y=(x-5)^2+3[/math]
6. 
For [math]y = 8x^2 -80x +207[/math], transform to vertex form and write the coordinates of the vertex.










7. 
Complete the square for each expression.
[math]x^2 +9x[/math]



[math]x^2 - 16x[/math]





8. 
Use completing the square to put into vertex form, then write the vertex and line of symmetry.
[math]f(x) = x^2 + 14x +15[/math]








[math]f(x) = x^2 - 12x [/math]





9. 
Solve by completing the square. [math]x^2+15x=-26[/math]





10. 
Put the following equation into vertex form. Then find the vertex, stating whether it is a maximum or minimum.
[math] y = -x^2 + 8x - 13 [/math]





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