Pertanyaan:

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)

(g) (- 2) * 2 – 5 * 6 + 1(j)

5) Simplify each of the following algebraic expressions:

(a) 2×PXQ (b) I × 8 (c) 3Xx Xy

(d) 4 × q Xwxz (e) b × b (f) k × 3 X k