1) A law firm seeks to recruit top-quality experienced lawyers. The total package offered is
the sum of three separate components: a basic salary which is 1.2 times the candidate’s
current salary together with an additional $3000 for each year worked as a qualified
lawyer and an extra $1000 for every year that they are over the age of 21.
Work out a formula that could be used to calculate the total salary, S, offered to
someone who is A years of age, has E years of relevant experience and who currently
earns $N. Hence work out the salary offered to someone who is 30 years old with five
years’ experience and who currently earns $150 000.
2) Write down a formula for each situation:
a) A plumber has a fixed call-out charge of $80 and has an hourly rate of $60. Work
out the total charge, C, for a job that takes L hours in which the cost of materials
and parts is $K.
a) An airport currency exchange booth charges a fixed fee of $10 on all transactions
and offers an exchange rate of 1 dollar to 0.8 euros. Work out the total charge, C,
(in $) for buying x euros.
b) A firm provides 5 hours of in-house training for each of its semi-skilled workers and
10 hours of training for each of its skilled workers. Work out the total number of
hours, H, if the firm employs a semi-skilled and b skilled workers.
c) A car hire company charges $C a day together with an additional $c per mile. Work
out the total charge, $X, for hiring a car for d days and travelling m miles during
that time.
Without using a calculator, evaluate
(a) 10 × (−2) (b) (−1) × (−3) (c) (−8) ÷ 2 (d) (−5) ÷ (−5)
(e) 24 ÷ (−2) (f) (−10) × (−5) (f) (−6) × 5 × (−1)
3) Without using a calculator, evaluate
(a) 5 − 6 (b) −1 − 2 (c) 6 − 17 (d) −7 + 23
(e) −7 − (−6) (f) −4 − 9 (g) 7 − (−4) (h) −9 − (−9)
(i) 12 − 43 ( j) 2 + 6 − 10
4) Without using a calculator, evaluate
(a) 5 × 2 − 13 (b) 5 × (1 − 4)
(c) 1 − 6 × 7 (d) −5 + 6 ÷ 3 (e) 2 × (−3)2 (f) −10 + 22
(g) (−2)2 − 5 × 6 + 1 ( j)
5) Simplify each of the following algebraic expressions:
(a) 2 × P × Q (b) I × 8 (c) 3 × x × y
(d) 4 × q × w × z (e) b × b (f) k × 3 × k
answer :
https://docs.google.com/document/d/1BBS4JWg00ZCcATuNxlc67OTqsqhGvT6dCopnoBRUZkY/edit?usp=sharing