Math Property Rules and Equations Flashcards by Selena Rodriguez | Brainscape

Q

Fractions- Numerator or Denominator smaller?

A

When num is equal, the smaller den is larger. When den is equal, the larger num is larger

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Q

Reciprocal of 01

A

bigger

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Q

Reciprocal of -10

A

smaller

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Q

Square of 01

A

smaller

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Q

Multiply + by fraction=

A

smaller

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Q

Multiply - by fraction=

A

bigger

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Q

Odd + Odd

A

Even

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Q

Odd + Even

A

Odd

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Q

Even + Even

A

Even

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Q

Odd * Odd

A

Odd

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Q

Odd * Even

A

Even

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Q

Even * Even

A

Even

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Q

Divisible by 3?

A

sum digits divisible by 3

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Q

Divisible by 4?

A

last 2 digits divisible by 4

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Q

Divisible by 6?

A

divisible by 2 and 3

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Q

Divisible by 9?

A

sum digits divisible by 9

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Q

Divisible by 12?

A

divisible by 3 and 4

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Q

Ratio Formula

A

% * Whole= Part ; Part/ Whole= %

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Q

% Change Formula

A

%= new-original/ original * 100%

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Q

Exponents: a^2 + a^3 =?

A

a^2+3 = a^5

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Q

Exponents: a^4 / a^2 =?

A

a^4-2 = a^2

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Q

Exponents: (a^2)^4 =?

A

a^2*4 = a^8

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Q

Exponents: a^0 =?

A

1

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Q

Exponents: a^-2 =?

A

(1/a)^2

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Q

Exponents: a^1/3 =?

A

^3 sqrt(a)

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Q

When can you +/- square roots?

A

when they have like radicals

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Q

Factor: a^2 - b^2

A

(a-b) (a+b)

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Q

Factor: (a-b)^2

A

a^2 -2ab +b^2

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Q

Quadratic Formula

A

x= [+/- b - sqrt(b^2 - 4ac)] / 2a

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Q

When does the inequality switch ()?

A

when you divide or multiple by a negative

Q

Distance Formula

A

d= rate/ time

Q

Simple Compound Interest Formula

A

A= P(1+rt)

Q

Compound Interest Formula

A

A= P(1+r/c) ^tc

Q

Functions: what is Domain?

A

x values

Q

Functions: what is Range?

A

y values

Q

Quadratic Equation for Functions

A

y= ax^2 +bx+c

Q

Perpendicular slopes =?

A

negative reciprocal of slope

Q

What shape graph is x^2 + y^2?

A

circular

Q

f(x) +c = shift?

A

shifts UP C units

Q

f(x) - c= shift?

A

shifts DOWN C units

Q

f(x+c) = shift?

A

shift LEFT C units

Q

f(x-c) = shift?

A

shifts RIGHT C units

Q

c* f(x) = shift?

A

stretch away from x-axis

Q

1/c * f(x) = shift?

A

stretch closer to x-axis

Q

Transversal angles are?

A

a line intersecting 2 parallel lines

Q

Complementary angles are?

A

intersect a right angle

Q

Triangle length rule?

A

c > a-b ; c< a+b

Q

Similar triangle means?

A

same angles

Q

Congruent triangle means?

A

same side lengths

Q

Special Right Triangle sides 45-45-90?

A

3:4:5 & 5:12:13

Q

Isosceles Right Triangle sides 45-45-90

A

1:1: sqrt(2)

Q

Special Right Triangle sides 30-60-90

A

1: sqrt(3) : 2

Q

Sum of Polygon Angles Formula?

A

180 (n-2) ; n= #sides

Q

Sum of Quadrilateral Angles?

A

360

Q

Area Parallelogram

A

b*h

Q

Area Trapezoid

A

average of the parallel sides/ height

Q

Semicircle Arc formula

A

1/2 Circum

Q

Arc Length Formula

A

(n/360) * Circum

Q

Area Sector

A

(n/360) * Area

Q

Volume Rectangle

A

V= lwh

Q

Surface Area Rectangle

A

2lw +2lh +2hw

Q

Volume Cube

A

e^3 (lwh)

Q

Surface Area Cube

A

6e^2

Q

Area Cube

A

e^2

Q

Volume Cyclinder

A

Pie * r^2* h

Q

Surface Area Cyclinder

A

2(pier^2) + 2pierh

Q

P(A or B) Formula?

A

P(A or B)= P(A) + P(B) - P(A & B)

Q

P( A & B) Formula?

A

P(A&B)= P(A) * P(B)

Q

Permutation, order matters

A

nPk= n! / (n-k)!

Q

Combination, order doesn’t matter (choose)

A

nCk= n! / k! (n-k)!

Q

Inner Quartile Range (IQR)

A

IQR= Q3 - Q1

Q

Probability of multiple events

A

Prob of each and Multiply

Q

Probability of separate events

A

Prob of each and Add