Formulas Flashcards

1
Q

m=y2-y1/x2-x1

A

slope

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2
Q

y=mx+b

A

slope-intercept form

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3
Q

Ax+By=C

A

standard form

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4
Q

y-y1=m(x-x1)

A

point slope form

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5
Q

a^2-b^2=(a+b)(a-b)

A

difference of squares

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6
Q

a^3+b^3=(a+b)(a^2-ab+b^2)

A

sum of cubes

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7
Q

a^3-b^3=(a-b)(a^2+ab+b^2)

A

difference of cubes

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8
Q

(a+b)^2=a^2-2ab+b^2

A

square of binomial

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9
Q

(a-b)^2=a^2-2ab+b^2

A

square of binomial

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10
Q

d=(square root) (x2-x1)^2+(y2-y1)^2

A

distance formula

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11
Q

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

A

midpoint

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12
Q

(x-h)^2+(y-k)^2=r^2

A

equation of a circle

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13
Q

x=-b+/-(square root)b^2-4ac/2a

A

quadratic formula

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14
Q

I=Prt

A

base formula

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15
Q

A=P+Prt

A

interest formula

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16
Q

a^2+b^2=c^2

A

Pythagorean theorem

17
Q

f(x+h)-f(x)/h

A

difference quotient

18
Q

d=rt

A

distance problem formula

19
Q

f(x)=a(x-h)^2+k

A

quadratic function

20
Q

(-b/2a,f(-b/2a))

A

coordinate of the vertex

21
Q

a^ma^n=a^m+n

A

product law of exponents

22
Q

a^m/a^n=a^m-n

A

quotient law of exponents

23
Q

(a^m)^n=a^mxn

A

power law of exponents

24
Q

(ab)^m=a^mb^m

A

power of product rule

25
Q

1/a^n=a^-n

A

negative exponent rule

26
Q

I=(square root) -1

A

imaginary numbers

27
Q

I^2=-1

A

powers of i