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Flashcards in Formulas Deck (37)
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1
Q

(am)(an)

A

am+n

2
Q

(ab)m

A

(am)(bm)

3
Q

ab + ac

A

a(b+c)

4
Q

(a/b) / c

A

a/bc

5
Q

a/b + c/d

A

ad + bc / bd

6
Q

a-b / c-d

A

b-a / d-c

7
Q

ab + ac / a

A

b + c, a != 0

8
Q

a(b/c)

A

ab / c

9
Q

a(b/c)

A

ac / b

10
Q

a/b - c/d

A

ad - bc / bd

11
Q

a+b / c

A

a/c + b/c

12
Q

(a/b) / (c/d)

A

ad / bc

13
Q

(an)m

A

amn

14
Q

a-n

A

1 / an

15
Q

(a/b)-n

A

(b/a)n

or

bn/an

16
Q

an / am

A

an-m

or

1/am-n

17
Q

a0

A

a0 = 1

IFF

a !=0

18
Q

a n/m

A

(a1/m)n

or

(an)1/m

19
Q

(a-b)2

A

a2 - b2

20
Q

(a + b)2

A

a2 + 2ab + b2

21
Q

(a3 + b3)

A

(a + b)(a2 - ab + b2)

22
Q

(a3 + b3)

A

(a - b)(a2 + ab + b2)

23
Q

Slope Formula

A

m = (y2 - y1) / (x2 - x1)

24
Q

Point Slope Form

If a line passes through (x1, y1) with a slope of m then what is the equation for that line?

A

y - y1 = m(x - x1)

25
Q

Slope Intercept Form

A

y = mx + b

26
Q

What is the Quadratic Equation?

A
27
Q

How do you find the midpoint of a line with 2 co-ordinates?

A

{ (x1 + x2) / 2, (y1 + y2) / 2 }

28
Q

Symmetry with respect to X axis

A

For eery point (x,y) on the graph there is a (x,-y)

29
Q

What is the Pythagorean Theorem?

What is it for?

A

A2 + b2 = c2

Used for finding sides of a right triangle

30
Q

What is the formula for finding a length of a line or distance between two points?

A
31
Q

Symmetry with respect to Y axis

A

For every point (x,y) on the graph there is a (-x,y)

32
Q

Symmetry with respect of the Origin

A

For every point (x,y) on the graph there is an (-x,-y)

33
Q

Vercical line slope

X = a

A

Undefined

34
Q

Horizontal line slope

Y = a

A

0

35
Q

Critera for Perpendicular lines

A

IIF the product of their slopes = -1

36
Q

Standard equation of a circle

A

(X - h)2 + (Y - k)2 = r2

37
Q

General equation of a circle

A

x2 + y2 + ax + by + c = 0