Basic Algebra Flashcards

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1
Q

√a=

A

|a| or ±a

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2
Q

√ab=

A

√a √b

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3
Q

√a/b=

A

√a/√b

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4
Q

√-n=

A

√ni or -√ni

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5
Q

a/√m • √m/√m =

A

(a√m)/m

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6
Q

a/(√m + √n) • (√m - √n)/(√m - √n)=

A

(a√m - a√n)/(m-n)

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7
Q

a/(√m - n) • (√m + n)/(√m + n) =

A

(a√m + an)/(m - n)

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8
Q

a^m • a^n=

A

a^m+n

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9
Q

(a^m)^n=

A

a^mn

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10
Q

(ab)^n=

A

a^n • b^n

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11
Q

a^0=

A

1

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12
Q

a^-p=

A

1/a^p

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13
Q

a^1/n=

A

^n√a

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14
Q

(a+b)^2 =

A

a^2 + 2ab + b^2

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15
Q

(a-b)^2 =

A

a^2 - 2ab + b^2

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16
Q

(a+b)(a-b) =

A

a^2 - b^2

17
Q

(a+b)^3 =

A

a^3 + 3a^2b + 3ab^2 + b^3

18
Q

(a-b)^3 =

A

a^3 - 3a^2b + 3ab^2 - b^3

19
Q

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

A

a^3 + b^3

20
Q

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

A

a^3 - b^3

21
Q

y=kx

A

direct variation

22
Q

y=k/x

A

inverse variation

23
Q

y=(kx)/w

A

joint variation

24
Q

y=k/x^2

A

proportional variation

25
Q

quadratic formula

A

x = (-b ± √b^2 -4ac)/2a