Maths Flashcards

1
Q

Midpoint Equation

A

Average x, Average y

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2
Q

Linear Distance

A

Root x-x^2 + y

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3
Q

Solving Simultaneous Equations

A

Substitution method

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4
Q

Complete the square

A

Half, Square, Add Subtract

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5
Q

Discriminant

A

Delta = b^2 - 4ac

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6
Q

Parabola

A

x^2

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7
Q

Hyperbola

A

1/x

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8
Q

Truncus

A

1/x^2

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9
Q

Opposite

A

y^2

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10
Q

Square Root

A

Root<x></x>

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11
Q

Circle

A

x^2 + y^2

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12
Q

Semi Circle

A

Root<x^2>

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13
Q

Function

A

many to 1, 1 to 1

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14
Q

Piecewise

A

Multiple lines on one graph

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15
Q

Inverse

A

Reflect over y=x^2

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16
Q

Long Division

A

first term divide, multiply all terms by product, carry down

17
Q

Remainder theorem

A

P(a) = a^2 + a + c = Remainder of x-a

18
Q

Cubic Graphs

A

Point of Inflection, or 2 turning points

19
Q

Solving Cubics

A

Find factors and = 0

20
Q

(x, 3y)

A

Dilation of 3 from x

21
Q

(3x, y)

A

Dilation of 3 from y

22
Q

(x, -y)

A

Reflection over x

23
Q

(-x, y)

A

Reflection over y

24
Q

(x+3, y)

A

3 units left

25
(x, y-3)
3 units up
26
Degree to Radian
pi/180
27
Radian to Degree
180/pi
28
Solving Circular Functions
Basic angle, quadrants, angles in quadrants, divide coefficient
29
Sin x intercepts
0, pi, 2pi
30
Cos x intercepts
pi/2, 3pi/2, 5pi/2
31
Tan x asymptotes
pi/2, 3pi/2, 5pi/2