- 1. What number should be added to x2-3x to complete the square?
A) -9/4
B) 9/4
C) -3/2
D) 3/2
- 2. What is the first thing that should be done to complete the square on 3x2+6x+12=0
A) Divide 6 by 2 and square it.
B) Divide all coefficients by 3.
C) Subtract 12 from both sides.
D) Factorise.
- 3. What number should be added to 4y2+1.6y to complete the square?
A) 0.16
B) 0.2
C) 0.4
D) 0.04
- 4. What number should be added to ax2+bx to complete the square?
A) b/a
B) b2/(4a)
C) b/(2a)
D) b2/(4a2)
- 5. What number should be added to x2-8x-10 to complete the square?
A) 26
B) 16
C) 18
D) -6
- 6. If 2x2+6x+11 is expressed in the form a(x+h)2+k, the value of h is _____.
A) 3/2
B) 13/2
C) 3
D) 9/4
- 7. If 4x2-6x-7 is expressed in the form a(x-h)2-k, the value of k is _____.
A) 37/4
B) 9/4
C) -37/4
D) 7
- 8. Using the technique of completing the square, solve the equation 2x2-3x-9=0.
A) x=3 or -3
B) x=9/4 or -9/4
C) x=3/2 or -3/2
D) x=3 or -3/2
- 9. Using the technique of completing the square, solve the equation x2-16x+28=0.
A) x=6 or -6
B) x=8
C) x=2 or 14
D) x=-2 or -14
- 10. Using the technique of completing the square, solve the equation x2+10x=-25
A) x = -5
B) x=5+sqrt(50) or 5-sqrt(50)
C) x=5+sqrt(25) or 5-sqrt(25)
D) x=5
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