Chapter 6 – Algebra 2
End of Chapter Test	Pupil Book 2/3
An asterisk (*) next to a question number indicates that the question is from Pupil Book 3.
1	Write an expression to illustrate the following sentences.
(a)	Add 2 to d
(b)	Subtract p from 9
(c)	Multiply x by 4, then add 5
2	Write down the values of these expressions for each different value of x.
(a)	6x where	(i)	x = 3	(ii) x = 10	  (iii) x = 100
(b)	x2 where	(i)	x = 3	(ii)	 x = 8	  (iii) x = 12
(c)	  where	(i)	x = 12	(ii)	 x = 40	  (iii) x = 200
(d)	x – 5 where		(i)	x = 7	(ii) x = 30	  (iii) x = 100
(e)	2x + 1 where	(i)	x = 3	(ii)	 x = 11   (iii) x = 50
(f)	10 + x2 where	(i)	x = 2	(ii)	 x = 5	  (iii) x = 10
3	Write down all the expressions in this list that equal each other.
 ,     p + 5,     5p,     p ÷ 5,     5 + p,     p5,     5 – p,     p – 5,
4	Show that m + n + 2 = n + 2 + m is true by substituting in suitable numbers.
5	Simplify the following expressions.
(a)	5n + 2n
(b)	10p – 6p
(c)	6k – k
(d)	10i + 5i + 6i
(e)	4r + 2r – 3r
(f)	4a + 2a + 5b + 3b
(g)	2d + 6e + 2d + 8e
(h)	f + 7 + 3f + 3
(i)	6g + 2a – 2g + 3a
6	Expand the brackets. Simplify your answer where possible.
(a)	4(h + 2)
(b)	3(2t + 7)
(c)	4(f – 3)
7	Write the following rule as a formula. The variables are printed in bold italics.
Rule: the total recording time contained on a number of 80-minute discs.
8	The formula shows the cost (£) of buying a number of trees.
C = 25 + 20n where C = total cost, n = number of trees.
Find the cost when:
(a)	n = 4
(b)	n = 8
(c)	n = 17
9	Solve the following equations.
(a)	4c = 28
(b)	f + 12 = 20
(c)	s – 7 = 5
(d)	2d + 8 = 14
(e)	5p – 7 = 33
10	Expand the brackets and simplify each expression.
(a)	2(x + 3) + 5(x – 1)
(b)	3(4x + 2) + 4(5x + 1)
11* Solve the following equations. The answers are fractions or decimals.
(a)	8i = 27
(b)	4a + 7 = 12
(c)	5h – 6 = 25

Functional Maths Task
Most countries measure temperatures using degrees Celsius (°C). The USA measures temperatures using degrees Fahrenheit (°F). The following formula can be used to change temperatures in °C to temperatures in °F:
F = 1.8C + 32	 where	C is temperature in degrees Celsius (°C)
	F is temperature in degrees Fahrenheit (°F)
Use the formula to convert these temperatures:
(a)	100°C
(b)	0°C
(c)	25°C
(d)	180°C
(e)	–10°C
What temperature in °C gives a temperature of about 0°F?