Intergers - ANSWER whole numbers and their opposites no decimals or fractions
Factors and Multiples - ANSWER FACTORS- factors are the two numbers being
multiplied in a multiplication problem. A prime factorization is when you take a
number and break it down into factors over and over until the last numbers are all
prime (only divisible by 1 and itself).
MULTIPLES- Multiples are the result of multiplying a certain number by integers.
Prime numbers - ANSWER a number which can only be divided by itself and 1
which are:
2,3,4,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,87,89,97
prime factorization - ANSWER First factor the number then find and pull out the
numbers that are prime
PEMDAS "Order of Operations" - ANSWER Please Excuse My Dear Aunt Sally
(Parenthesis, Exponents, Multiply, Divide, Add, Subtract); order in which an equation
is worked out - multiplication and division as well as adding and subtracting can be
interchanged, depending on which comes first (from left to right) in the equation
GCF (Greatest Common Factor) - ANSWER the greatest number that is a factor of
two or more numbers
LCM (Least Common Multiple) - ANSWER The smallest whole number greater
than 0 that is a common multiple of each of two or more numbers.
Rules if exponents - ANSWER Must always share a base
1. When multiplying you add the exponents
2. When diving you subtracts the exponents
3. A number raised to a fraction power is the same as the root or radical
perfect square - ANSWER These are 1,4,9,25,36,49,64,81,100
Factorials (e.g. 8!) - ANSWER To find the factorial of any integer, multiply it by
every positive integer below it, e.g.:
8x7x6x5x4x3x2x1
Quadratic Formula - ANSWER x = -b ± √(b² - 4ac)/2a
Foil - ANSWER First, Outside, Inside, Last
physical properties of matter - ANSWER Color, Odor, Shape, Hardness, Texture,
Density, Volume, Mass, Weight
,Mass - ANSWER A measure of the amount of matter in an object ( sum of the
protons, neutrons, and electrons)
mass of proton - ANSWER 1.67 x 10^-27 kg equal to 1.007 amu
Weight - ANSWER A measure of the gravitational force exerted on an object.
Volume - ANSWER The amount of space an object takes up
Density - ANSWER Mass per unit volume (equals mass/volume)
What's the smallest unit of matter - ANSWER Atom
atomic weight/mass - ANSWER protons + neutrons
Ions - ANSWER positively and negatively charged atoms
anions and cations - ANSWER - Anions: negatively charged ions
- Cations: positively charged ions
Isotopes - ANSWER Atoms with the same number of protons but different numbers
of neutrons
atomic weight - ANSWER Average of the mass numbers of all isotopes (usually 2x
the atomic number)
The atomic nucleus - ANSWER The central part of an atom that contains both
protons and neutrons.
Atomic Energy States - ANSWER All atoms strive to thrive lowest energy state
The N shells - ANSWER Energy levels where the electrons are found, the lowest
energy leve
Orbitals/Shells - ANSWER regions around the nucleus in which given electron or
electron pair is likely to be found ex) 1s which can only hold 2 electrons
p orbital - ANSWER 6 electrons
electron configuration - ANSWER the arrangement of electrons of an atom in its
ground state into various orbitals around the nuclei of atoms ex) N= 1s2, 2s2, 2p3
valance electrons - ANSWER electrons in the outermost energy level These
participate in chemical reactions
The octet rule - ANSWER States that atoms lose, gain or share electrons in order
to acquire a full set of eight valence electrons
, Transition Metals (Groups 3-12) - ANSWER good thermal conductors, shiny,
electric conductors, higher density and melting points than group and low specific
heat, and can be shapes and stretched
Nonmetals - ANSWER These are carbon, nitrogen , oxygen, phosphorus, sulfur
and the halides form small molecules, strong covalent bonds and weak
intermolecular attractions , brittle and powdery, good electrical and thermal insulators
metalloids physical properties - ANSWER brittle, can be shiny or dull, can be
ductile or malleable, used as semiconductors in electronics ex) silicon and
germanium
Ionic bonds form between - ANSWER metals and nonmetals
Hydrogen bonds are - ANSWER strongest intermolecular forces
covalent bond - ANSWER a bond formed when atoms share one or more pairs of
electrons
polar bonds are - ANSWER unequal sharing, hydrophilic, they do not dissolve in
water
intermolecular forces - ANSWER forces of attraction between molecules ex) soild,
gas , liquid these are weak
intramolecular forces - ANSWER forces within molecules these are strong ex)
hydrogen
boiling point, freeing point water - ANSWER Boiling is 212 F and 100C freezing is
32F and 0C
Conversion of Celsius to Fahrenheit - ANSWER F = 9/5 C + 32
properties of solids - ANSWER 1. Definite Shape 2. Definite Volume 3.Does not
expand 4. Has smallest molecule movement
properties of liquid solutions - ANSWER conductivity, freezing point, and boiling
point
properties of gases are - ANSWER >expand to fill their container
>take the shape of their container
>have low density that is much lower than solid or liquid
>are compressible
>mixtures of gases are always homogeneous fluid
Average speed of molecule is 20c is 500m/s or 1100 mph
Sublimation - ANSWER A change directly from the solid to the gaseous state
without becoming liquid
Deposition - ANSWER gas to solid