Regents Review

Rules of Exponents (No negative exponents)

100

x²(x⁶)

x⁸

200

x²/x⁴

1/x²

300

(3x⁴y²)(4xy²)^-3

3x/64y⁴

400

4x³y⁸z²/8x⁶y²z⁴

y⁶/2x³z²

500

x³ + 2x²/x^-1

3x³

Quadratic Formula

100

x²–8x+12=0

6 and 2

200

2x²−x=1

1 and -1/2

300

4x²+9=–12x

-3/2

400

5x²=7x+6

2 and -3/5

500

(x–2)²=4x

4+2√3 or 4-2√3

Formulas

100

Mean

All data values/number of data values

200

Range

Maximum - minimum

300

Root Formula

y=a(x - Root 1)(x - Root 2)

400

Vertex Form

y=a(x-h)²+k

500

Compund Interest

A=P(1+r/n)^nt

Properties

100

Multiplicative Identity 

Any number multipled by 1 is the number its self 

200

Commutative Properties 

The order of multiplication or addition does not matter

Ex: 3+8 = 8+3

300

Additive Inverse Property

Changing the sign of a number and adding to the original number will always equal 0

400

Associative Property

The adding or multiplication of real numbers with not affect the final result 

500

Distributive Property

Multipling a value by its sum or difference you will get the same result 

Ex: 7x6 = 7(3+3)

Literal Equations

100

y=^f+g/₃ solve for g 

g=3y-f

200

3ax - b = c solve for x 

x = ^c-b/3a

300

v = ¹/₃Bh solve for h

h = ^3v/_B

400

A = ¹/₂h (a+b) solve for a

a = ^2A/_h - b

500

s = 2(aw-ah+wh) solve for w 

w = ^s-2ah/_2a+2h