Modual 3

Question 1

What is a formula?

Answer 1

Something that gives different variables

e.g. V = LHW

Question 2

What is a equation?

Answer 2

Something that two numbers are equal too

e.g. x + 7 = 8

Question 3

What is a identity?

Answer 3

Something which is true
e.g. x + 1 = x
7 x 1 = 7

Question 4

What is a expression?

Answer 4

Something which has no answer, its a statement
e.g. 5x + 9
7u + 14

Question 5

What is 2x + 9 -2 + 7x +9y

Answer 5

9x + 9y + 7

Question 6

What is 4p{squared} when p = 3

Answer 6

36

4x3x3

Question 7

What is 6(x+9)

Answer 7

6x + 54

Question 8

What is 4xy(4x + 9y + 7 + 2 + x)

Answer 8

12x{squared}y + 36xy{squared} +28xy + 8xy +4x{squared}y

88x{power of 7}y{power of 6}

Question 9

Factorise 15x{power 4}y + 20x{squared}y{power 3}z - 35x{power 3}yz

Answer 9

5x{squared}y(3x{squared} + 4y{squared}z - 7xz

Question 10

What does A{power 7} mean?

Answer 10

(A x A x A x A x A x A x A)

Question 11

What is 5x - 6 = 3x - 8

Answer 11

-3x                            -3x
          2x - 6 = -8              
\+6                             +6
          2x = -2
/2                              /2
           x = -1

Question 12

Solve 1 4
——- + ——-
(x + 1) (x + 6)

Answer 12

1(x+6) 4(x+1) x + 6 4x + 4 5x + 10
——- + ——– = ——- + ——– = ————–
(x+1) (x+6) (x + 1) (x + 6) (x + 1)(x + 6)

ONLY ADD / SUBTRACT THE TOP LINE

Question 13

Solve: st 35s{squared}tw
————- x ——————-
10w{cubed} 6

Answer 13

35s{subed}t{squared}w 7s{cubed}t{squared}
————————— = ————————
60w{cubed} 12w{squared}

Question 14

Solve: 12 4(p - 3)
—— / ———-
p+4 3(p + 4)

Answer 14

3 x 3 9
—– = —–
p - 3 p - 3

Question 15

Use trial and improvement to solve : x{squared} + x = 14 to 1 D.P

Answer 15

4{squared} + 4 = 20 Too Big
3{squared} + 3 = 12 Too Small
3.5{squared} + 3.5 = 15.75 Too Big
3.4{squared} + 3.4 = 14.96 Too Big
3.3{squared} + 3.3 = 14.19 Too Big
3.2{squared} + 3.2 = 13.44 Too Small
3.25{squared} + 3.25 = 13.81 Too Small

= 3.3

Question 16

Make u the subject: 5u - 7 +2t = 5w

Answer 16

\+ 7                             +7
      5u + 2t = 5w + 7
-2t                              -2t
      5u = 5w + 7 - 2t
/5                               /5
       u = 5w +7 - 2t
             ------------
                     5

Question 17

What is the formula for the nth term?

Answer 17

Nth term = dn + (a - d)

Question 18

What does a stand for in the nth term formula?

Answer 18

The first term in the sequence

Question 19

What does d stand for in the nth term formula?

Answer 19

The common difference

Question 20

What would the nth term be for the sequence 5, 8, 11, 14..?

Answer 20

The first term = 5
The common difference = 3
a = 5, d = 3

nth term = 3n + 2

Question 21

what is the formula for finding the nth term in sequences that have a different change between the numbers?

Answer 21

a + (n - 1 ) d + 1/2 (n - 1)(n - 2) c

Question 22

What does a, d and c stand for in the changing difference nth term formula?

Answer 22

a = the first term
d = the first difference 
c = change between one difference and the next

Question 23

What would the nth term be for 2, 5, 9, 14

Answer 23

=2+(n-1)3+1/2(n-1)(n-2x1
=2+3n-3+1/2n{to the power of 2}-11/2n +1
=1/2{to the power of 2} + 11/2n
1/2n(n+3)

Question 24

What is the first and second difference for the sequence: 5, 20, 45, 80

Answer 24

1st = 15, 25, 35
2nd = 10, 10, 10

Question 25

What is the formula for the quadratic sequence?

Answer 25

n{squared} + n

when n equals thee number in the sequence