Section 1
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Date created
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Cards (358)
Section 1
(50 cards)
deserted
(of a place) empty of people.
manufacture
the making of articles on a large scale using machinery.
perceive
become aware or conscious of (something); come to realize or understand.
reign
hold royal office; rule as king or queen.
waiver
an act or instance of waiving a right or claim.
placid
(of a person or animal) not easily upset or excited.
seedy
sordid and disreputable.
dilution
the action of making something weaker in force, content, or value.
perturbed
anxious or unsettled; upset.
incensed
very angry; enraged.
modest
unassuming or moderate in the estimation of one's abilities or achievements.
exemption
the process of freeing or state of being free from an obligation or liability imposed on others
feigned
simulated or pretended; insincere.
abide
accept or act in accordance with (a rule, decision, or recommendation).
rural
in, relating to, or characteristic of the countryside rather than the town.
dreary
dull, bleak, and lifeless; depressing.
envision
imagine as a future possibility; visualize.
keen
having or showing eagerness or enthusiasm.
scanty
small or insufficient in quantity or amount
river
a large natural stream of water flowing in a channel to the sea, a lake, or another such stream.
frown upon
as in displeasure or deep thought
desire
a strong feeling of wanting to have something or wishing for something to happen.
continue
persist in an activity or process.
support
bear all or part of the weight of; hold up.
weakened
make or become weaker in power, resolve, or physical strength.
grudge
a persistent feeling of ill will or resentment resulting from a past insult or injury.
inopportune
occurring at an inconvenient or inappropriate time.
droll
curious or unusual in a way that provokes dry amusement.
addendum
an item of additional material, typically omissions, added at the end of a book or other publication.
bustling
move in an energetic or noisy manner.
malicious
characterized by malice; intending or intended to do harm.
untimely
(of an event or act) happening or done at an unsuitable time
abolish
formally put an end to (a system, practice, or institution).
amiable
having or displaying a friendly and pleasant manner.
auspicious
conducive to success; favorable.
lazy
unwilling to work or use energy.
meager
(of something provided or available) lacking in quantity or quality.
irritated
showing or feeling slight anger; annoyed.
ugly
unpleasant or repulsive, especially in appearance.
graceful
having or showing grace or elegance.
divulge
make known (private or sensitive information).
wistful
having or showing a feeling of vague or regretful longing.
bargain
an agreement between two or more parties as to what each party will do for the other.
compromise
an agreement or a settlement of a dispute that is reached by each side making concessions.
sullen
bad-tempered and sulky; gloomy.
penalty
a punishment imposed for breaking a law, rule, or contract.
theory
a supposition or a system of ideas intended to explain something, especially one based on general principles independent of the thing to be explained.
rail at
to use abusive language
curt
rudely brief.
repulsed
cause (someone) to feel intense distaste and aversion.
Section 2
(50 cards)
content
in a state of peaceful happiness.
condone
accept and allow (behavior that is considered morally wrong or offensive) to continue.
barren
(of land) too poor to produce much or any vegetation.
delve
reach inside a receptacle and search for something.
embrace
hold (someone) closely in one's arms, especially as a sign of affection.
misnomer
a wrong or inaccurate name or designation.
banal
so lacking in originality as to be obvious and boring.
baneful
deadly; poisonous
Acrid
sharp; pungent, used of smells and tastes
fortify
strengthen (a place) with defensive works so as to protect it against attack
verbatim
in the exact words : word for word
retell
tell (a story) again or differently.
arrogant
having or revealing an exaggerated sense of one's own importance or abilities.
informative
providing useful or interesting information.
assault
make a physical attack on.
adamant
refusing to be persuaded or to change one's mind.
spurn
reject with disdain or contempt.
ardent
enthusiastic or passionate.
adversity
difficulties; misfortune.
interpret
explain the meaning of (information, words, or actions).
lambaste
criticize (someone or something) harshly.
Heresy
against orthodox opinion
circumlocution
a roundabout or indirect way of speaking; the use of more words than necessary to express an idea.
engage
occupy, attract, or involve (someone's interest or attention).
altruistic
showing a disinterested and selfless concern for the well-being of others; unselfish.
mete
dispense or allot justice, a punishment, or harsh treatment.
compliant
obeying, obliging, or yielding, especially in a submissive way
treeless
without trees
neglect
fail to care for properly.
austere
severe or strict in manner, attitude, or appearance.
subtle
(especially of a change or distinction) so delicate or precise as to be difficult to analyze or describe.
fallacy
a mistaken belief, especially one based on unsound argument.
Boorish
ill-mannered
relish
great enjoyment.
utilitarian
designed to be useful or practical rather than attractive.
gratify
to give pleasure to (a person or persons) by satisfying desires or humoring inclinations or feelings
Antipathy
a deep-seated feeling of dislike; aversion.
assist
help (someone), typically by doing a share of the work.
hinge
attach or join with or as if with a hinge.
Cynical
believing that people act only out of selfish motives
indolent
having or showing a disposition to avoid exertion; slothful
Epistle
a letter, form of communication
illusion
something that deceives by producing a false or misleading impression of reality.
ridiculous
deserving or inviting derision or mockery; absurd.
substratum
a layer of something (such as soil or rock) that is under another layer
obtuse
annoyingly insensitive or slow to understand.
reclaim
retrieve or recover (something previously lost, given, or paid); obtain the return of.
fault
an unattractive or unsatisfactory feature, especially in a piece of work or in a person's character.
berate
to scold; rebuke
Lance
spear; spike; javelin
Section 3
(50 cards)
Adulation
strong admiration; worship
Timorous
cowardly; fearful
Terse
concise; to the point
Debility
weakness; incapacity
Epistolary
concerned with letters; through correspondence
Debunking
exposing false claims or myths
Languish
decay; fade away; get weaker
Erratic
wandering; irregular
Hiatus
interruption; pause
Equivocate
speak ambiguously; avoid telling the truth
Epitomized
typified; characterized; personified
Decorum
dignified, correct behavior
Obsolete
no longer valid
Decoy
lure; trap; trick
Polemical
causing debate or argument
Poised
calm; collected; self-possessed
Obsequious
servile; submissive
Ponderous
weighty; slow and heavy
Decathlon
an athletic competition with ten events
Acuity
sharpness (mental or visual)
Obscure
difficult to understand; partially hidden
Largess
generosity
Braggart
someone who boasts
Obsession
a dominating concern
Poignant
deeply moving; strongly affecting the emotions
Retention
preservation; withholding
Restorative
a tonic
Portend
foretell
Larceny
theft; robbery; stealing
Reticent
restrained; holding something back; uncommunicative
Bourgeois
middle class
Hidebound
rigid in opinions
Thwart
prevent; frustrate
Languid
tired; slow
Resplendent
shining; glowing
Brawny
muscular
Histrionic
theatrical; exaggerated
Brevity
being brief
Pontificate
speak pompously or dogmatically
Laud
praise
Therapeutic
medicinal; curative
Hinder
obstruct
Respite
a break; intermission
Bristle
to show irritation
Error
make a mistake
Obstreperous
noisy and boisterous
Acrophobia
fear of heights
Tirade
stream of verbal abuse
Adroit
skilful / skillful
Hieroglyphics
1. picture writing; 2. writing which is difficult to read or enigmatic
Section 4
(50 cards)
Retraction
withdrawal; cancellation of a statement
Brusque
blunt; abrupt
Legion
in large numbers
Hyperbole
grossly exaggerated speech
Rigor
thoroughness
Bulwark
fortification; barricade; wall
evanescence
to disappear gradually; vanish; fade away
Obviate
avoid; make unnecessary
Hoary
old
Rife
common
Lax
careless; not strict
Torpid
inactive; lazy; stagnant
Alacrity
eagerness; enthusiasm; quickness
Enfranchise
give voting rights
Bigot
narrow-minded, prejudiced person
Kindle
to start a fire
Abhor
hate
Counterfeit
fake; false
Defoliate
cause leaves to fall off
Revere
worship
epiphany
a manifestation of a divine or supernatural being
Broach
start to discuss; approach
Tome
large book
Officious
domineering; intrusive; meddlesome
Espouse
promote; take up; support
Advocate
support
Defunct
no longer in existence
Bureaucracy
officialdom
Portent
a warning sign; omen
Riddled
full of (usually full of holes)
Torpor
dormancy; sluggishness; inactivity
Poseur
someone who puts on an act
Deference
respect
Hypochondriac
a person obsessed with health; having imaginary illnesses
Etymology
the study of word origins
Legend
1. key to map; 2. myth or story
Titter
giggle quietly
Totter
walk unsteadily
Odious
hateful
Eulogy
praise
Lavish
on a grand scale; wasteful
Affable
friendly; social; easygoing
Posthumous
after death
Noxious
harmful; poisonous; lethal
Esoteric
obscure and difficult to understand
Degradation
deprivation; poverty; debasement
Posterity
future generations
Hamper
hinder; obstruct
Aesthetic
concerning art or beauty
Hone
sharpen; increase; whet
Section 5
(50 cards)
Burgeon
grow; flourish; put forth new shoots
Omniscient
all-knowing
Buttress
strengthen; support
Levity
flippancy; joking about serious matters
Rotund
round
Robust
strong; healthy; tough
Lethargic
tired; without energy
Olfactory
concerned with the sense of smell
Pragmatist
practical person; one who is concerned with usefulness
Ruse
trick; stratagem
Aloof
distant; detached; cold
Demur
hesitate; refuse
Saccharin
falsely sweet
Delineation
demarcation; explanation; definition; outlining
Deleterious
harmful
Alchemy
medieval chemistry; attempt to change base metal into gold
Evacuate
vacate; empty; abandon
Ignominious
shameful
Transcribe
copy
Transient
short-lived; ephemeral
Ruminate
think over something; ponder
Omnipotent
all-powerful
Exasperate
frustrated; annoyed
Deliberate
to think over deeply
Cacophony
discordant loud noises
Tranquil
peaceful
Byline
the line that tells you who wrote an article
Libertarian
someone who opposes tyranny
Idiosyncrasy
a personal peculiarity; something unique to an individual
Ignominy
shame
Ogle
stare at; observe in an obvious manner
Liniment
soothing lotion
Exacerbate
make worse
Iconoclast
person who opposes orthodoxy
Euphemism
a polite phrase to cover something unpleasant
Euphony
pleasant sounds
Burnish
polish
Potent
powerful; compelling; strong
Hypocritical
insincere
Allay
to lessen
Tractable
obedient; dutiful; polite
Alibi
an excuse that shows someone was not at a crime scene
Lithe
flexible; supple
Transgress
go astray; disobey; commit a sin
Ominous
threatening
Denounce
condemn; speak out against
Alleviate
make less severe
Pragmatic
practical
Postulate
hypothesize; propose
Potable
suitable for drinking
Section 6
(50 cards)
Deplete
use up; lessen
Sagacious
wise
Ambiguous
unclear in meaning; can be interpreted in different ways
Salacious
lecherous; erotic
Illuminate
to light up or make clear
Execrable
very, very bad
Cajole
coax
Traverse
to move across
Precept
guiding principle
Ambiguity
uncertainty; vagueness
Loquacious
talkative
Onus
burden
Precinct
district of a city
Amass
accumulate
Exegesis
scholarly explanation or interpretation
Sallow
yellowish
Preamble
introductory material
Precarious
unstable; risky
Opaque
does not let light through
trivial
unimportant
Livid
very angry
Trinket
something of little value; knick-knack
Immutable
unchanging; permanent
Lofty
snooty; arrogant; haughty
Callow
immature
Immoderate
excessive; extreme
Longevity
long life
Exemplary
outstandingly good; setting a fine example
Precedent
a previous occurrence used as a guide
Exculpate
free someone from blame; pardon; acquit
Ordain
to officially establish or order something
Ambivalence
lack of clarity; wavering; being undecided
Opulent
wealthy; rich; magnificent
Deplore
regret
Candid
frank; honest
Impartial
unbiased; neutral
Trepidation
fear
Depravity
moral corruption
Sage
a wise person
Sacrosanct
very holy; inviolable
Altruism
putting others first; being self-sacrificing
Illusory
deceptive; false; misleading
Lobbyist
person who tries to persuade someone to support a particular cause
Caldron
huge cooking pot
Deprecate
criticize; denounce
Trite
unoriginal; dull
Exceptionable
very bad, something which we should abject to
Deride
ridicule; make fun of; mock
Candor
frankness; openness
Onerous
burdensome; hard to undertake
Section 7
(50 cards)
Amity
friendship
Despondent
having no hope; miserable
Impromptu
unrehearsed; spontaneous
Salutary
something which teaches you a lesson; beneficial
Luscious
juicy; moist; succulent
Predecessor
one who came before
Amelioration
improvement
Desecrate
to damage or pollute a holy place
Salubrious
health-giving
Castigate
scold strongly
Truncate
cut short
Impious
wicked; profane
Tyro
novice; beginner
Impoverished
destitute; poor
Expatriate
refugee; emigrant; someone living away from his own country
Lucid
clear
Truant
shirker; someone absent without permission
Ambulatory
hospital patients able to walk around
Turpitude
wickedness
Cartographer
person who makes maps
Exhaustive
complete and thorough
Carping
constant criticism
Precipice
steep slope
Sanctimonious
making a show of being morally superior/better to other people
Sanguinary
bloodthirsty; bloody
Orthodox
adapt to what is generally or traditionally accepted as right or true
Capacious
spacious
Exemplify
to serve as a good example
Impecunious
having no money
Derogatory
uncomplimentary
Lukewarm
not having or showing emotion or neither hot nor cold
Ameliorate
make better
Ornate
highly decorated
Tumult
a loud, confused noise, especially one caused by a large mass of people.
Desecration
spoiling something holy
Exonerates
acquits; absolves; removes blame
Oust
push out of a position
Precipitous
done in a hurry
Desist
stop; discontinue; cease
Exorcism
getting free/rid of; eliminating especially demons
Inadvertent
not intentional
Capitulate
surrender; give in to
Precocious
developing early
Ossify
turn to bone or become fixed and rigid
Cantankerous
bad-tempered; quarrelsome
Preclude
prevent or make impossible
Ludicrous
ridiculous; silly
Ostentatious
showy
Sanction
give approval to
Lummox
clumsy person
Section 8
(50 cards)
Cavalcade
procession of vehicles
Extol
praise
Deter
put off; prevent
Presentiment
a feeling that something might happen
Predicament
dilemma; difficult situation
Extradite
deport from one country back to the home country
Incantation
chant; invocation; prayer
Expedient
convenient; practical
Devoured
greedily eaten or consumed
Expedite
make faster
Incarceration
putting in prison
Anarchy
chaos; lack of government
Sardonic
mocking
Savant
person with knowledge
Caucus
type of private political meeting
Analogous
comparable
Lynch
assassinate; kill; illegal hanging
Prerogative
right or privilege
Kerygma
to proclaim, announce, preach
Exposition
clear explanation
Inclination
a person's natural tendency or urge to act or feel in a particular way; a disposition or propensity.
Ubiquitous
found everywhere; omnipresent
Amorphous
lacking in shape
Incipient
just beginning
Undermined
damaged; attacked
Scale
to climb
Preeminent
famous; outstanding
Unalloyed
undiluted; total
Palatable
good to eat; agreeable
Prescient
having fore-knowledge
Magnate
powerful businessman
Magnanimous
generous; big-hearted
Incessant
without stopping
Anecdote
a brief amusing story
Sanguine
optimistic; cheerful
Maelstrom
whirlpool; storm in the ocean
Scapegoat
a person on whom blame is placed for faults of others
Unctuous
oily; using excessive flattery
Caustic
burning
Detrimental
harmful
Underscore
a line drawn under a word or phrase for emphasis.
Overwrought
worked up; in an emotional state
Catharsis
the process of releasing, and thereby providing relief from, strong or repressed emotions.
Deteriorate
worsen; decline
Overt
obvious; not hidden
Palliative
a remedy that improves but doesn't cure
Machinations
plots and plans
Destitution
hardship; poverty; misery
Analgesic
a remedy that relieves pain
Palisade
a fence of wooden stakes or iron railings fixed in the ground, forming an enclosure or defense.
Section 9
(50 cards)
Diffident
lacking confidence
Censorious
disapproving; critical
Unequivocal
clear; obvious
Incoherent
not clear
Scrutinize
examine carefully
Inconspicuous
not easily seen; subtle; not noticeable
Pretentious
pompous; self-important
Paradox
apparently contradictory statement
Certitude
certainty
Panacea
remedy for all ills
Extrinsic
irrelevant; on the outside
Presumptuous
assuming too much; arrogant
Malediction
a curse
Didactic
intended to teach; instructive
Indelible
cannot be wiped out
Extrapolate
extend; predict on the basis of known data
Antagonism
hostility; strong opposition
Cerebral
intellectual
Anomaly
something which does not fit in a pattern; irregularity
Scuttle
sink
Extraneous
irrelevant
Sensuous
appealing to the senses
Unfetter
set free
Palpable
easily felt; easily perceived
Celerity
speed
Unprecedented
never having happened before
Malefactor
a wrong-doer
Incongruous
not fitting in; out of place
Unscathed
unharmed; intact; without a scratch
Falter
hesitate; waver
Animosity
hatred; antagonism
Annex (n)
a building which is an addition to an existing building
Pristine
unspoiled
Annex (v)
take possession of; seize; capture
Maladroit
clumsy; unskillful
Proclivity
tendency towards
Dichotomy
a division into two parts
Prevaricate
speak misleadingly and evasively
Inconsequential
unimportant; insignificant; negligible
Digress
wander off the subject
Scrupulous
careful; diligent; painstaking
Malinger
deliberately avoid work; shirk
Paradigm
1. example; 2. model; 3. way of looking at things
Pallid
pale
Malady
illness
Unfrock
to remove a priest from his position
Seminary
an institution in which priests are trained
Fallacious
false
Dexterous
skilful with hands
Censure
blame
Section 10
(50 cards)
Serrated
jagged; saw-like
Parched
dried up
Paramount
of supreme importance
Chimerical
changeable; unstable
Indulgent
pampering; satisfying desires
Malleable
flexible; can be shaped
Antagonistic
opposed; hostile; aggressive
Indifferent
neutral; not outstanding
Dilemma
puzzling situation
Indolence
laziness
Parasite
scrounger; animal which takes digested food from another
Fatuous
silly; foolish
Dilatory
slow; falling behind with one's work
Upbraid
scold; tell off; reprimand
Sentinel
guard; sentry
Profane
unholy
Mallet
wooden hammer; stick used for polo
Uproarious
hilarious; hysterical; very funny
Prodigious
very large
Unwitting
not deliberate; unconscious
Serene
calm; peaceful
Inductee
novice; beginner
Fastidious
overly particular; finicky
Fanatical
obsessive; fixated
Assuage
Make less intense; satisfy
Charlatan
trickster who claims knowledge he doesn't have
Manipulatable
influencable; controllable
Antediluvian
outdated; prehistoric; very old-fashioned
Serendipity
fortunate coincidence; unsought discovery
Upshot
outcome
Dilettante
person who dabbles in a subject without serious study
Chicanery
trickery
Paragon
a perfect example
Profanity
swearing; cursing
Dike
dam; embankment
Anthropocentrism
putting man at the center of one's philosophy
Chastises
punishes
Anthology
a book which is a collection of poems or stories
Prodigal
wasteful; extravagant
Sequester
isolate
Procrastinate
delay; put off
Chary
wary of; cautious about; reluctant to give
Urbane
sophisticated; suave
Pariah
an outcast from society
Marred
damaged; spoiled
Feasible
possible and practicable
Quadratic Formula
Quadratic Formula:
Indigenous
native to a particular area
Fanaticism
passion; excessive devotion
Malingerer
person who deliberately tries to avoid work
Section 11
(50 cards)
Alternative to Completing the Square
In x(squared) + ax = y, move y over to the left hand side: x(squared) + ax + y = 0. Then complete the square.
Domain
the set of all possible input values. he domain of a rational expression includes all real numbers except for those that make its denominator zero.
Arc Length of a Circle
X/2pir = central or inscribed angle/360. Cross-mulitiply
5. Odd + Odd =
5. Even
Unknown Consecutive Odd/Even Numbers
This is the same as consecutive integers, only they are going up every other number instead of every number. This means there is a difference of two units between each number in the sequence instead of 1.
2. Odd * Odd =
2. Odd
Imaginary Numbers 1
i^n = 1 if and only if n is a multiple of 4
Remainder Theorem
P (x) / x-K = remainder = P(x)
x^a * y^a = (xy)^a
When multiplying different numbers but are raised to the SAME POWER, then just multiply the bases together.
1. Even * Even =
1. Even
Imaginary Numbers will always simplify to...
1, -1, i, or -i
i =
square root of -1
Root Indicator
If there is a number on the outside of a square root symbol, that represents how many numbers should be multiplied to equal the number under the square root symbol.
Absolute Value
An absolute value is a representation of distance along a number line, forward or backwards. This means that an absolute value equation will always have two solutions. It also means that whatever is in the absolute value sign will be positive, as it represents distance along a number line and there is no such thing as a negative distance.
Outliers
are a small group of values that are significantly smaller or larger than the other values in the data When there are outliers in the data, the mean will be pulled in their direction (either smaller or larger) while the median remains the same.
x ^ -y = 1/x^y
A base raised to a negative exponent equals 1 divided by the base raised to the positive exponent.
Determining Prime Factors
To make sure you try every necessary potential factor, take the square root of the number you are trying to determine is prime. Any integer equal to or less than the square root will be a potential factor, but you do not have to try any numbers higher.
Parabola Direction with B
Positive b = left of origin Negative b = right of origin
Perfect Square
In a polynomial expression, two numbers that add to equal the ax term and multiply to equal the b term. x(squared) + ax + b
Factoring Exponents -
Any even power of x is the square of another power x9 = (x3)2
SAT Integer Strategies
1.Make sure the question requires an integer. 2. Use real numbers if you forget your integer rules. 3. Keep your work organized.
Linear Functions
if you have a variable on the output side of the function, it cannot be raised to a power higher than 1. Line
3. Even * Odd =
3. Even
Turn a mixed fraction into an ordinary fraction
You can turn a mixed fraction into an ordinary fraction by multiplying the whole number by the denominator and then adding that product to the numerator. 7 3/4 => 7*4 = 28 => 28+3 = 31 => 31/4
Infinite Solutions (system of equations)
Each system is identical (it is the same line)
Parallel Lines
have equal slope
Parabola Direction with C
C = y-intercept of the parabola (when b=0, the y-intercept will also be the vertex of the parabola)
x/0 =
undefined
Function
A given input, sent through the function, produces a given output. f(x) = y a -> f -> b Multiple inputs can ONLY produce ONE output
Fractional Exponents
The denominator becomes the value to which you take the root, and the numerator becomes the exponent to which you take the number under the root sign.
Parabola Direction with A
Positive a = parabola upwards Negative a = parabola downwards Large a = skinny parabola Small a = large parabola
When solving a Special Topics problem,....
Treat the sin/cos/tan variables as a unit (as a whole)
0/x =
0
Difference of Two Squares
(a2 - b2) = (a+b) (a-b)
4. Even + Odd =
4. Odd
x^a * x^b = x^[a+b]
When multiplying numbers WITH THE SAME BASE raised to a power, just add the powers together.
Solving Fraction, Ratio, or Proportion equations
1) Identify whether the problem involves fractions or ratios 2) If a ratio question asks you to change or identify values, first find the sum of your pieces (This sum will either be your complete whole or will be a factor of your whole, if your ratio has been reduced). 3) When in doubt try to use decimals 4) Remember your special fractions
Pythagorean Identity
sin^2 x + cos^2 x = 1
Prime Numbers
1 is NOT a prime number 2 is the ONLY even prime number
To Solve Absolute Value Equations
Break the absolute value apart into two equations, one with a positive solution and one with a negative solution.
Remainders
Now we also know that, when positive consecutive integers are divided by any number, the remainders increase by 1 until they hit their highest remainder possible. When that happens, the next integer remainder resets to 0. This is because our smaller number has gone into the larger number an even number of times (which means there is no remainder).
6. Even + Even =
6. Even
Quadratic Functions
our output variable will always be squared. Parabola Two inputs make the same output (3^2 and -3^2)
Completing the Square
In x (squared) + ax + b, where b is unknown, find b by taking half of a and squaring that answer. Add b to the opposite side of the equation so that it stays equivalent.
Degrees to Radians Conversions
360 degrees (1 360) = 2π (1 2π) 270 degrees (3/4 360) = 3π/2 or 3/2 π (3/4 2π) 180 degrees (1/2 360) = π (1/2 2π) 90 degrees (1/4 360) = π/2 or 1/2 π (1/4 2π)
Unknown Consecutive Numbers
You can write unknown consecutive numbers out algebraically by assigning the first in the series a variable, x, and then continuing the sequence of adding 1 to each additional number.
Rational Expressions
a quotient of two polynomials. Or in other words, it is a fraction whose numerator and denominator are polynomials.
Lines with slopes of 1 or -1
Make a 45-45 triangle on the xy-plane
No Solution (system of equations)
In order for a system of equations to have no solution, the "x"values must be equal and the "y" values must be set to 1 (both variables will be equal).
Calculate Slope
Use the slope triangle if you can
Section 12
(50 cards)
Perpendicular Lines
have opposite-signed reciprocal slopes
Cantankerous
bad-tempered; quarrelsome
Standard Deviation 5
If you add or subtract the same number from every number on the list, the SD doesn't change.
Salubrious
health-giving
Parabolas:Roots 2
A parabola that touches the x-axis once (at it's vertex) has one solution
Parabolas: Equation for the line of symmetry
Tumult
a loud, confused noise, especially one caused by a large mass of people.
Lucid
clear
The Doubling-and-Halving Trick Use
When one number ends in 5 or is an odd multiple of 50, doubling it would end in a round number. As long as the other number is an even number, then we take half of it, making it smaller, and the number that ended in 5 or 50 will become a round number (multiple of 10 or 100)
Ossify
turn to bone or become fixed and rigid
Range
Max value - Min value
Derogatory
uncomplimentary
Precipitous
done in a hurry
Impoverished
destitute; poor
Standard Deviation 6
If we multiply every number by positive number K, the SD also gets multiplied by K
Parabolas: Vertex Form
Vertex = (h,k)
Exhaustive
complete and thorough
Ludicrous
ridiculous; silly
Lukewarm
not having or showing emotion or neither hot nor cold
Amelioration
improvement
Salutary
something which teaches you a lesson; beneficial
Ornate
highly decorated
Desist
stop; discontinue; cease
Standard Deviation 4
A set with most numbers clustered around the extremes will have a higher SD than a list with most numbers equal to or close to the mean Points close to the mean -> small SD Points far from the mean -> large SD
Parabolas: Roots 1
A parabola that touches the x-axis twice has two solutions
Parabolas Roots 3
A parabola that doesn't touch the x-axis at all has no real solutions
Standard Deviation 2
The only way the SD can be zero, is if all the numbers are equal to each other.
Ambulatory
hospital patients able to walk around
Ameliorate
make better
Exemplify
to serve as a good example
Truncate
cut short
Preclude
prevent or make impossible
Capitulate
surrender; give in to
Carping
constant criticism
Parabolas: Values of a
+a = upward parabola -a = downward parabola Absolute value of a >1 = skinny parabola Absolute value of a<1 = wide parabola, positive fraction
Exonerates
acquits; absolves; removes blame
Precipice
steep slope
Truant
shirker; someone absent without permission
Impious
wicked; profane
Sanctimonious
making a show of being morally superior/better to other people
Standard Deviation 3
If all the numbers on the list are exactly the same distance from the mean, that distance is the SD. mean = 5 list: {2,2,2,8,8,8} (both are exactly 3 away from the mean)
Desecrate
to damage or pollute a holy place
Parabolas: Standard Form
Vertex and root form, FOILed out, equals standard form
Standard Deviation 1
Always positive or zero, never negative. (Distance is never negative)
The Doubling-and-Halving Trick
When two numbers are multiplied, dividing the one even number in half and redistributing the multiplication to the other number. 1635 = (82) *35 8 (235) [8 is half of 16 and 70 is twice 35] Sometimes, you can do this procedure twice, until the equation has a round number in it.
Parabolas: Root Form
a(x-r sub1) (x-r sub2) Average of Roots always equals the x-value of the line of symmetry. Roots are the x values that make y = 0 (x-intercepts)
Desecration
spoiling something holy
Capacious
spacious
Orthodox
adapt to what is generally or traditionally accepted as right or true
Impecunious
having no money
Section 13
(50 cards)
Deter
put off; prevent
Impromptu
unrehearsed; spontaneous
Oust
push out of a position
Analogous
comparable
Caucus
type of private political meeting
Tyro
novice; beginner
Unctuous
oily; using excessive flattery
Destitution
hardship; poverty; misery
Sanguine
optimistic; cheerful
Lynch
assassinate; kill; illegal hanging
Exposition
clear explanation
Detrimental
harmful
Sanguinary
bloodthirsty; bloody
Sanction
give approval to
Maelstrom
whirlpool; storm in the ocean
Inadvertent
not intentional
Catharsis
the process of releasing, and thereby providing relief from, strong or repressed emotions.
Amorphous
lacking in shape
Predicament
dilemma; difficult situation
Luscious
juicy; moist; succulent
Machinations
plots and plans
Extol
praise
Incessant
without stopping
Ubiquitous
found everywhere; omnipresent
Sardonic
mocking
Preeminent
famous; outstanding
Turpitude
wickedness
Amity
friendship
Expedient
convenient; practical
Palatable
good to eat; agreeable
Lummox
clumsy person
Incarceration
putting in prison
Exorcism
getting free/rid of; eliminating especially demons
Deteriorate
worsen; decline
Unalloyed
undiluted; total
Analgesic
a remedy that relieves pain
Castigate
scold strongly
Predecessor
one who came before
Caustic
burning
Precocious
developing early
Despondent
having no hope; miserable
Overwrought
worked up; in an emotional state
Expedite
make faster
Overt
obvious; not hidden
Incantation
chant; invocation; prayer
Savant
person with knowledge
Prerogative
right or privilege
Expatriate
refugee; emigrant; someone living away from his own country
Ostentatious
showy
Cartographer
person who makes maps
Section 14
(50 cards)
Dexterous
skilful with hands
Animosity
hatred; antagonism
Devoured
greedily eaten or consumed
Unfetter
set free
Incipient
just beginning
Celerity
speed
Palliative
a remedy that improves but doesn't cure
Scrupulous
careful; diligent; painstaking
Inconsequential
unimportant; insignificant; negligible
Scapegoat
a person on whom blame is placed for faults of others
Extradite
deport from one country back to the home country
Diffident
lacking confidence
Didactic
intended to teach; instructive
Incongruous
not fitting in; out of place
Annex (n)
a building which is an addition to an existing building
Extrinsic
irrelevant; on the outside
Extraneous
irrelevant
Scuttle
sink
Magnate
powerful businessman
Cerebral
intellectual
Underscore
a line drawn under a word or phrase for emphasis.
Presentiment
a feeling that something might happen
Censure
blame
Maladroit
clumsy; unskillful
Magnanimous
generous; big-hearted
Undermined
damaged; attacked
Dichotomy
a division into two parts
Scale
to climb
Malady
illness
Extrapolate
extend; predict on the basis of known data
Palpable
easily felt; easily perceived
Anarchy
chaos; lack of government
Prescient
having fore-knowledge
Palisade
a fence of wooden stakes or iron railings fixed in the ground, forming an enclosure or defense.
Unfrock
to remove a priest from his position
Scrutinize
examine carefully
Pretentious
pompous; self-important
Pallid
pale
Annex (v)
take possession of; seize; capture
Prevaricate
speak misleadingly and evasively
Unequivocal
clear; obvious
Presumptuous
assuming too much; arrogant
Cavalcade
procession of vehicles
Censorious
disapproving; critical
Malediction
a curse
Kerygma
to proclaim, announce, preach
Incoherent
not clear
Anecdote
a brief amusing story
Panacea
remedy for all ills
Inclination
a person's natural tendency or urge to act or feel in a particular way; a disposition or propensity.
Section 15
(50 cards)
Indifferent
neutral; not outstanding
Sensuous
appealing to the senses
Unscathed
unharmed; intact; without a scratch
Seminary
an institution in which priests are trained
Fastidious
overly particular; finicky
Malefactor
a wrong-doer
Unwitting
not deliberate; unconscious
Antagonistic
opposed; hostile; aggressive
Dilettante
person who dabbles in a subject without serious study
Procrastinate
delay; put off
Paramount
of supreme importance
Digress
wander off the subject
Pristine
unspoiled
Serendipity
fortunate coincidence; unsought discovery
Indelible
cannot be wiped out
Malinger
deliberately avoid work; shirk
Antediluvian
outdated; prehistoric; very old-fashioned
Anthology
a book which is a collection of poems or stories
Anomaly
something which does not fit in a pattern; irregularity
Uproarious
hilarious; hysterical; very funny
Fanaticism
passion; excessive devotion
Prodigal
wasteful; extravagant
Parasite
scrounger; animal which takes digested food from another
Mallet
wooden hammer; stick used for polo
Certitude
certainty
Chary
wary of; cautious about; reluctant to give
Malingerer
person who deliberately tries to avoid work
Antagonism
hostility; strong opposition
Unprecedented
never having happened before
Inconspicuous
not easily seen; subtle; not noticeable
Chicanery
trickery
Paradigm
1. example; 2. model; 3. way of looking at things
Upbraid
scold; tell off; reprimand
Fallacious
false
Chastises
punishes
Sequester
isolate
Paragon
a perfect example
Falter
hesitate; waver
Proclivity
tendency towards
Dilatory
slow; falling behind with one's work
Fanatical
obsessive; fixated
Indolence
laziness
Dike
dam; embankment
Indigenous
native to a particular area
Dilemma
puzzling situation
Malleable
flexible; can be shaped
Charlatan
trickster who claims knowledge he doesn't have
Prodigious
very large
Paradox
apparently contradictory statement
Sentinel
guard; sentry
Section 16
(21 cards)