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The correct chemical formula to represent two molecules of water is

 

 

A.

`2H_2O`
 

B.

`(H_2O)_2`
 

C.

`H_4O`
 

D.

`H_4O_2`
19 October 2011 · Carol Grout · 0 marks · 1 mins

Factorise each of the following completely:

 

a) `a^4-4b^2`     (2)

 

b) `2b(b+1)-6(b+1)`     (3)

 

c) `32x^5-2x y^8`     (4)

 

d) `36 e^2-49f^2`     (3)

 

e) `5(m-3)+p(3-m)`     (4)

24 June 2011 · Pinelands High School (Ed) · 15 marks · 20 mins

Expand each of the following expressions and simplify where necessary:

 

a) `(a-3b)(2a+b)`   (2)

 

b) `(2p-1)(p-1)`   (3)

 

c) `8(7c-12)-(6c+1)`   (4)

 

d) `2(h-7)(h+1)-(h+3)^2`   (4)

24 June 2011 · Pinelands High School (Ed) · 13 marks · 17 mins

Simplify the following and give your answers with positive exponents (`x!=0` ):

 

a) `3x^-2`

 

b) `(2/3)^-1`

 

c) `2^3x^-4`

 

d) `(a^3b^2)/a b`

 

e) `3x^4xx2x^2`

 

f) `pxxpxxp+2p^3`

24 June 2011 · Pinelands High School (Ed) · 0 marks · 0 mins

Factorise each of the following completely:

 

a) `x^2-4x`

 

b) `12p^2q^6r-15p^3q r^2`

 

c) `3(b-2)-a(b-2)`

 

d) `(16x^4-1)`

24 June 2011 · Pinelands High School (Ed) · 11 marks · 15 mins

In the Maths ’ R ’ Us  store, five protractors cost the same as 7 set squares. If you buy 5 protractors and a set square you pay R62. How much would it cost for 28 set squares?

24 June 2011 · Pinelands High School (Ed) · 0 marks · 0 mins

Julie and Andrew both keep fish. Julie has 8 gold fish, and 3 silvertails. Andrew has 4 goldfish and 5 silvertails. A goldfish is worth R10 and a silvertail is worth R3. Julie and Andrew decide to sell fish to each other so that they each have equal numbers of both types of fish. How much money changes hands for this to occur?

24 June 2011 · Pinelands High School (Ed) · 0 marks · 0 mins

Simplify each of the following as far as possible by multiplying out the brackets and grouping like terms.

 

a) `a(a^2-2)`            (2)

 

b) `(3q+1)(7q+4)`          (3)

 

c) `(x-2)^2+(1-x)2`         (5)

24 June 2011 · Pinelands High School (Ed) · 10 marks · 15 mins

From `3x^2-2x+7`  subtract `x^2-5x-2`.

24 June 2011 · Pinelands High School (Ed) · 4 marks · 7 mins

Add `2x^2-3x+4` to `-x^2+x+7`.

24 June 2011 · Pinelands High School (Ed) · 3 marks · 5 mins