Unit 9

Question 1

Q1 - factorise x²-12x+27

Answer 1

(x-3)(x-9)

Question 2

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

Answer 2

x=9 or x=3 (quadratic formula)

Question 3

Q1 b - factories y²-100

Answer 3

(y-10)(y+10)

Question 4

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

Answer 4

y²+7y+10

Question 5

Q2 b - Factorise e²+e-12

Answer 5

(e+4)(e-3)

Question 6

Q2 c - Solve 3x²-x-1=0

Answer 6

x=0.77 or x-0.43

Question 7

Q3 solve by factorising the equation

Answer 7

x=-3

Question 8

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

Answer 8

a=4 b=5

Question 9

Q4 find the point of M

Answer 9

(4,5)

Question 10

Q5 Solve the simultaneous equations

Answer 10

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

Question 11

Q5 Solve the equations

Answer 11

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

Question 12

Q7

Answer 12

A = £8.50

C=£4.50

Question 13

Q8 Solve 3x²-12x-3

Give your solutions in surd form

Question 14

-2

Question 15

Solve the inequality 8x-3≥6x+4

Answer 15

x≥3.5

Question 16

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

Answer 16

x=4

Question 17

Solve the inequality 5e + 3 > e + 12

Answer 17

e=2.25

Question 18

Q12

Answer 18

48cm²