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3COM0247
Quantum Computing
Quantum Computing
Tutorial 1 - Algebra 1
The following questions are set in order to assess the abilities of the group as a
whole with algebra. If you experience difficulties then do ask for assistance. The
aim is to enable you to work with these and other algebraic concepts and for me
to assess the requirements of the group
Addition, Subtraction, Multiplication and Division
Complete the following:
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2
3
4
a+a+a+a+a+a+a+a+a+a=
2b + 5b =
7h – 4m – 6h =
6x – 3y + 12x2 – 4x + 5y =
Directed Numbers
State the value of the following:
5
6
7
8
9
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7 + (- 4) =
(17) - (- 12) =
(- 8)2 + (- 4)3 =
(- 2) * 3 / (- 12) =
(- 3g2) * 4g5 =
4g2 * (-4g5) / (- g3) =
Evaluating Expressions
Let a = 6, b = - 2 and c = 1/3
Calculate the following:
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12
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15
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ab =
ac =
a–b=
b–c=
a2 – b2 =
(a - b)2 =
a/b =
abc =
(a + b) =
(a + b)/c =
QC Tutorial 1
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3COM0247
Quantum Computing
Expanding Brackets
Expand the following:
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5(x + 7) =
3(4b –3c) =
–p2(2p3 – p + 3) =
n(4 – 3 n) – (n – 6) =
rt( r + t + q) =
(a + b)(c + d) =
(5b – 3)(2b – 1) =
(a + b)2 =
(a - b)2 =
(a + b)(a – b) =
Factorising Brackets
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3x2- 12 =
12b – 9c =
pt + t2 – tx =
2p5 – p3 + 3p2 =
r2t + rt2 + qrt =
6lx – 15mx =
x2 – 9 =
a2 - 1 =
1 - b2 =
7y2 - 63 =
Algebraic Fractions
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1/a = ?/ab  ? =
5/c = ?/cd  ? =
x/5 = ?/15  ? =
m/n = m3/?  ? =
d/e = 5df/?  ? =
R/t = ?/t2  ? =
3 = ?/5
?=
c = ?/3
?=
1 = ?/f
?=
y = ?/y
?=
QC Tutorial 1
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