Pertanyaan:
KELOMPOK
Aulia Khanza
Novita Khairunnisa
Nur Aulia Lindzani
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 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.
- 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.
- 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.
- 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)
(g) (−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
Status:
100%/100%
Keterangan:
Saya sudah mengerjakan assignment dengan baik dan benar.
Bukti:
1. Formula Gaji Pengacara
Formula total gaji (S):
S = 1.2N + 3000E + 1000(A – 21)
Kasus: A = 30, E = 5, N = 150,000
S = 1.2(150,000) + 3000(5) + 1000(30 – 21)
S = 180,000 + 15,000 + 9,000 = 204,000
Jawaban: $204,000
2. Formula Tiap Situasi
a) Plumber: C = 80 + 60L + K
b) Currency exchange: C = (x / 0.8) + 10
c) Training hours: H = 5a + 10b
d) Car hire: X = Cd + cm
Hitung Tanpa Kalkulator (Perkalian/Pembagian)
a) 10 × (−2) = (−20)
b) (−1) × (−3) = 3
c) (−8) ÷ 2 = (−4)
d) (−5) ÷ (−5) = 1
e) 24 ÷ (−2) = (−12)
f) (−10) × (−5) = 50
g) (−6) × 5 × (−1) = 30
3) Hitung Tanpa Kalkulator (Penjumlahan/Pengurangan)
a) 5 − 6 = (−1)
b) −1 − 2 = (−3)
c) 6 − 17 = (−11)
d) −7 + 23 = 16
e) −7 − (−6) = (−1)
f) −4 − 9 = (−13)
g) 7 − (−4) = 11
h) −9 − (−9) = 0
i) 12 − 43 = (−31)
j) 2 + 6 − 10 = (−2)
4) Hitung Tanpa Kalkulator (Campuran Operasi)
a) 5 × 2 − 13 = (−3)
b) 5 × (1 − 4) = (−15)
c) 1 − 6 × 7 = (−41)
d) −5 + 6 ÷ 3 = (−3)
e) 2 × (−3)^2 = 18
f) −10 + 2^2 = (−6)
g) (−2)^2 − 5 × 6 + 1 = (−25)
5) Sederhanakan Aljabar
a) 2 × P × Q = 2PQ
b) I × 8 = 8I
c) 3 × x × y = 3xy
d) 4 × q × w × z = 4qwz
e) b × b = b^2
f) k × 3 × k = 3k^2
