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A-Level Further and Additional Maths
ALG @ FINAL
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Algebra
A-Level Further and Additional Maths
11th
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57 Terms
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1
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Solve the inequality. Write the answer in interval notation.
2
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5k-20 greater than or equal to 2-3k-6
k greater than or equal 2
3
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-4/3(9-2k)\=1/2(1/3k+1)
k\=5
4
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Find the idictated value
5
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find(0) when f(x)\=-19x^2+13x-3
-3
6
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Use the function g(x)\=-3x+16 to find x if g(x)\=17
x\=-1/3
7
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What is the x-intercept of y\=-6x-5
y\=-5/6
8
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What is the graph of the equation x\=-1
straight up and down at -1
9
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Write an equation of a line with given slope and y intercept
10
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m\= 4.9 b\=6.3
y\=4.9x+6.3
11
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Find the x and y intercept of the line
12
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3x-7y\=84
x intercept is 27 and y intercept is -12
13
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write an equation in point slope form for the line through the given point point with the given slope
14
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(-1,-9), m -3/2
y+9\=3/2(x+1)
15
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What is the solution of the system? Use elimination.
16
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3x+9y\=33
17
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-10x-6y\=-14
(-1,4)
18
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Find the range of the absolute value funcition:
19
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f(x)\= I 3x-4 I
\[0, infintiy)
20
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Describe the transfromation
21
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f(x)\= IxI +4
Shifted up 4 units
22
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Describe the transfromation
23
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F(x) 4 I x-1 I
Vertical stretch by 4 shift right 1
24
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Descrive the transformation
25
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f(x)\= Ix-4I +6
Shifted right 4 units and up 6 units
26
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Describe the transformation
27
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f(x)\= Ix-4I +6
Shifted right 4 units and up 6 units
28
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Describe the transformation
29
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f(x)\= 1/5 IxI
Vertical Compression by 1/5
30
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Describe the transformation
31
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f(x)\= IxI -7
Shifted down 7 units
32
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Describe the transformation
33
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f(x)\=3(x+2)^2
Vertical stretch by 3 and shifted left 2 units
34
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Find the discriminate and choose the type of roots the quadratic equation will have
35
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-x^2 +2x\=7
2 roots- imaginary
36
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simplify the radical
37
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Square root of 48
4 square root of 3
38
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simplify the racial
39
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square root of -81
9i
40
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Solve the quadratic
41
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25x^2\=4
plus or minus 2/5
42
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Simplify the equation:
43
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(6-2i)(-5+8i)
1+6i
44
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Solve the equation
45
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4x^2+24x\=288
x(-12,6)
46
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Simplify (3x-4x^2-1)-(x^2+x+5)
-5x^2+2x-6
47
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Simplify (3h-7)(3h-6)
9h^2-39h+42
48
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Simplify
49
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2n(n^2+3n+4)
2n^3+6n^2+8n
50
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Simplify
51
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(5x-6)^2
25x^2-60x+36
52
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(2x-7)(2x+7)
4x^2-49
53
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factor
54
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x^2-9
(x+3)(x-3)
55
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27^2/3
9
56
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simplify
57
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2 square root 18 - 5 square root 2
square root of 2