Unit 9 Flashcards

1
Q

Q1 - factorise x²-12x+27

A

(x-3)(x-9)

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2
Q

Q1 (ii)- solve the equatopn x²-12x+27=0

A

x=9 or x=3 (quadratic formula)

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3
Q

Q1 b - factories y²-100

A

(y-10)(y+10)

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4
Q

q2 Expand and simplify (y+2)(y+5)

A

y²+7y+10

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5
Q

Q2 b - Factorise e²+e-12

A

(e+4)(e-3)

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6
Q

Q2 c - Solve 3x²-x-1=0

A

x=0.77 or x-0.43

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7
Q

Q3 solve by factorising the equation

A

x=-3

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8
Q

Q4 the expression x²-8x+21 can be written in the form (x-a)² + b for all values of x
Find the value of a and b

A

a=4 b=5

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9
Q

Q4 find the point of M

A

(4,5)

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10
Q

Q5 Solve the simultaneous equations

A

4x+y=25
x-3y=16
x=7
y=-3

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11
Q

Q5 Solve the equations

A

(x, y) = (6, 0) or (3.6, -4.8)

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12
Q

Q7

A

A = £8.50

C=£4.50

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13
Q

Q8 Solve 3x²-12x-3

Give your solutions in surd form

A
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14
Q

-2

A
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15
Q

Solve the inequality 8x-3≥6x+4

A

x≥3.5

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16
Q

3x +5 > 16
Find smallest value of x
x is an integer

A

x=4

17
Q

Solve the inequality 5e + 3 > e + 12

A

e=2.25

18
Q

Q12

A

48cm²