- 1. What number should be added or subtracted (within the brackets) to x2-3x=0 to complete the square?
A) -1.5
B) 2.25
C) 1.5
D) -2.25
- 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) Factorise.
D) Subtract 12 from both sides.
- 3. What number should be added or subtracted (within the brackets) to 4x2+8x=0 to complete the square?
A) 16
B) 1
C) -16
D) -1
- 4. What number should be added or subtracted (within the brackets) to -2x2+10x=0 to complete the square?
A) -100
B) -25
C) 100
D) 25
- 5. What number should be added or subtracted (within the brackets) to x2-8x-10=0 to complete the square?
A) -4
B) 16
C) -16
D) 4
- 6. If 2x2+6x+11=0 is expressed in the form a(x+h)2+k, the value of h is _____.
A) 1.5
B) 2.25
C) 6.5
D) 3
- 7. If 4x2-6x-7=0 is expressed in the form a(x-h)2-k, the value of k is _____.
A) 4
B) -11
C) -3
D) -4
- 8. Use "completing the square" to express in "vertex form": 2x2-3x-9=0.
A) 2(x-0.75)2-10.125=0
B) 2(x-0.75)2-9.5625=0
C) (x-0.75)2-9.5625=0
D) (x-0.75)2-10.125=0
- 9. Use "completing the square" to express in "vertex form": x2-16x+28=0.
A) 1(x-8)2-92=0
B) 1(x-8)2-92=0
C) 1(x-16)2-36=0
D) 1(x-8)2-36=0
- 10. Use "completing the square" to express in "vertex form": 2x2+20x=-75
A) 2(x-5)2+0=0
B) 2(x+5)2+25=0
C) 2(x+5)2-25=0
D) 2(x+5)2+0=0
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