Pertanyaan:
1) A law firm seeks to recruit top-quality experienced lawyers. The total package offered is the sum of three separate components:
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a basic salary which is 1.2 times the candidate’s current salary,
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together with an additional $3000 for each year worked as a qualified lawyer,
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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 5 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.
b) 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.
c) 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.
d) 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.
3) Without using a calculator, evaluate:
a) 10 x (−2)
b) (−1) x (−3)
c) (−8) ÷ 2
d) (−5) ÷ (−5)
e) 24 ÷ (−2)
f) (−10) x (−5)
g) (−6) x 5 x (−1)
4) 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
5) Without using a calculator, evaluate:
a) 5 x 2 − 13
b) 5 x (1 − 4)
c) 1 − 6 x 7
d) −5 + 6 ÷ 3
e) 2 x (−3)²
f) −10 + 22
g) (−2)² − 5 x 6 + 1
6) Simplify each of the following algebraic expressions:
a) 2 x P x Q
b) I x 8
c) 3 x X x y
d) 4 x q x w x z
e) b x b
f) k x 3 x k
Status: 100%
Keterangan: Saya sudah mengerjakan dengan baik dan benar.
Bukti:
1 — Formula
S=1.2×150000+3000×5+1000x(30−21)S = 1.2 x 150000 + 3000 x 5 + 1000 x (30 – 21) S=180000+15000+9000=204000S = 180000 + 15000 + 9000 = 204000
Jawaban: $204,000
2 — Formulas
(a) Plumber
C=80+60xL+KC = 80 + 60 x L + K
(b) Currency exchange
C=10+1.25xxC = 10 + 1.25 x x
(c) Training hours
H=5xa+10xbH = 5 x a + 10 x b
(d) Car hire
X=Cxd+cxmX = C x d + c x m
3 — Evaluate (no calculator)
a) 10x(−2)=−2010 x (-2) = -20
b) (−1)x(−3)=3(-1) x (-3) = 3
c) (−8)÷2=−4(-8) ÷ 2 = -4
d) (−5)÷(−5)=1(-5) ÷ (-5) = 1
e) 24÷(−2)=−1224 ÷ (-2) = -12
f) (−10)x(−5)=50(-10) x (-5) = 50
g) (−6)x5x(−1)=30(-6) x 5 x (-1) = 30
4 — Evaluate (no calculator)
a) 5×2−13=10−13=−35 x 2 – 13 = 10 – 13 = -3
b) 5x(1−4)=5x(−3)=−155 x (1 – 4) = 5 x (-3) = -15
c) 1−6×7=1−42=−411 – 6 x 7 = 1 – 42 = -41
d) −5+6÷3=−5+2=−3-5 + 6 ÷ 3 = -5 + 2 = -3
e) 2x(−3)2=2×9=182 x (-3)^2 = 2 x 9 = 18
f) −10+22=12-10 + 22 = 12
g) (−2)2−5×6+1=4−30+1=−25(-2)^2 – 5 x 6 + 1 = 4 – 30 + 1 = -25
5 — Simplify algebraic expressions
a) 2xPxQ=2PQ2 x P x Q = 2PQ
b) Ix8=8II x 8 = 8I
c) 3xxxy=3xy3 x x x y = 3xy
d) 4xqxwxz=4qwz4 x q x w x z = 4qwz
e) bxb=b2b x b = b^2
f) kx3xk=3k2k x 3 x k = 3k^2