Solving rational equations 1 | Polynomial and rational functions | Algebra II | Khan Academy
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test
US / test /
•UK / test /
- noun
- A medical examination
- Action to establish the truth or nature of
- Examination; questions to measure knowledge
- verb
- To be given a medical examination
- To try to establish the truth or nature of
- To ask a series of questions to measure knowledge
equation
US / ɪˈkweɪʒn /
•UK / ɪˈkweʒən, -ʃən /
- noun
- Mathematical statement showing things to be equal
- Complex set of different facts, ideas or issues
start
US / stɑ:t /
•UK / stɑrt /
- noun
- First time or place that a thing exists; beginning
- First opportunity to achieve something, e.g. a job
- Sudden action or movement because you are scared
- other
- Beginning of something in place or time
- verb
- To do, be or happen for the first time; begin
- To turn something on
well
US / wel /
•UK / wɛl /
- adjecitve
- Being in a fortunate, good condition or state
- Healthy and in good condition
- adverb
- In an acceptable, proper, or successful manner
- In a complete, total, or full manner
- A great and considerable degree
- In a successful way, in a good or satisfactory way
- exclamation
- Used to begin or continue a particular statement
- Used to show you want to start saying something
- Used to express that you are waiting for a reply
- You say this to change the topic of a conversation
- Used to indicate you are making a final remark
- noun
- Long deep hole in the ground to get water
- verb
- To cause your eyes to fill with tears
time
US / taɪm /
•UK / taɪm /
- noun
- Speed at which music is played; tempo
- Point as shown on a clock, e.g. 3 p.m
- Number of hours, minutes needed to do something
- Occasion when something happens
- Period or occasion that something occurred
- Period in history or the past
- Something measured in minutes, hours, days, etc.
- How long an event takes; duration
- verb
- To check speed at which music is performed
- To choose a specific moment to do something
- To measure how long an event takes, e.g. a race
- To schedule something to occur at a specific moment
just
US / dʒʌst /
•UK / dʒʌst /
- adjecitve
- Proper or appropriate; as is deserved
- Doing or being what is right or fair
- Legally correct; having enough evidence
- adverb
- Almost; nearly
- Exactly at the time of
- Exactly (the same as, like)
those
US / ðəʊz /
•UK / ðoz /
- determiner
- The people or things we are talking about
- pronoun
- The objects far from the speaker
for
US / fə(r) /
•UK / fɔr,fə /
- preposition
- Used to show the purpose, or need of something
undefined
US / ˌʌndɪˈfaɪnd /
•UK / ˌʌndɪˈfaɪnd /
- adjecitve
- Not precisely limited or described
this
US / ðɪs /
•UK / ðɪs /
- adjecitve
- Used to indicate something already been discussed
- Used to indicate something happening around now
- adverb
- An indication by a physical motion or gesture
- A specific amount of
- determiner
- Person, thing, or idea near you
- pronoun
- Person, thing that has already been discussed
let
US / let /
•UK / lɛt /
- verb
- To allow someone to do something
- Introducing a suggestion to do something together
- To rent a house, etc. to others
other
US / 'ʌðə(r) /
•UK / ˈʌðər /
- adjecitve
- A thing different from that mentioned
- determiner
- (Something) else; not the first (one)
- pronoun
- Being the one and only thing of that category
into
US / 'ɪntə /
•UK / ˈɪntu /
- preposition
- Moving or going inside something
- In the same direction as; in the direction of
- So as to become; taking the state of
one
US / wʌn /
•UK / wʌn /
- pronoun
- You; we; people in general; someone
- The thing or person previously referred to
- adjecitve
- Used to refer to people generally
- Being a strong example of (something mentioned)
- number
- Number 1
term
US / tɜ:m /
•UK / tɚm /
- noun
- Conditions applying to an agreement, contract
- Length of time something is expected to happen
- Fixed period of weeks for learning at school
- The (precise) name given to something
- verb
- To call; give a name to
the
US / ðə /
•UK / ðə /
- article
- Used to refer to something already mentioned
- Used to show there is only one of something
- determiner
- Used to describe all of a family
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
make
US / meɪk /
•UK / mek /
- noun
- Product made by a particular company; brand
- verb
- To arrange or prepare something e.g. dinner
- To get to (a place) on time
- To gain the status of (teacher, lawyer, etc.)
- To create something by putting things together
- To earn a certain amount of money at a job
- To cause or force a person to do something
- To cause something to happen or be formed
over
US / 'əʊvə(r) /
•UK / ˈovɚ /
- adverb
- Finished; no longer happening
- Towards the ground/away from a standing position
- noun
- A set of six consecutive balls bowled in cricket
- other
- Finished
- preposition
- Showing the relation when a thing is above another
- On or covering something
- Above or across something
- More than you need
- From one side to the other
- In the direction of; toward
leave
US / li:v /
•UK / liv /
- noun
- Permission to do something
- Vacation time; time off work
- verb
- To go away from; depart
- To gift property to someone after you die
- To allow something to continue happening
- To let something remain unused or available
- To let something or someone remain somewhere
anything
US / ˈeniθɪŋ /
•UK / ˈɛniˌθɪŋ /
- pronoun
- A thing of any kind
two
US / tu: /
•UK / tu /
- number
- 2
from
US / frəm /
•UK / frʌm, frɑm,frəm /
- preposition
- Starting at a particular place, time or level
linear
US / ˈlɪniə(r) /
•UK / ˈlɪniər /
- adjecitve
- Made of lines
- Series of progressing from one stage to another
mess
US / mes /
•UK / mɛs /
- noun
- Something that is untidy, dirty or unclean
- verb
- To make something untidy or dirty
out
US / aʊt /
•UK / aʊt /
- adverb
- No longer stylish (e.g. fashion)
- Away from home, business, or the usual place
- In a direction/movement away from inside or center
- noun
- Act when a batter cannot continue playing
- verb
- To tell people a secret
legitimate
US / lɪ'dʒɪtɪmət /
•UK / ləˈdʒɪtəmɪt /
- adjecitve
- Being born to legally married parents
- Being reasonable and sound
- verb
- To make acceptable and sound
throughout
US / θru:ˈaʊt /
•UK / θruˈaʊt /
- adverb
- From the beginning of something until the end
- preposition
- Over/across an entire place/thing; in every part
where
US / hwɛə /
•UK / hwɛr, wɛr /
- conjunction
- At or in the place which
- In whatever place
- pronoun
- Word you use to ask the location of something
put
US / pʊt /
•UK / pʊt /
- phrasal verb
- to make a light stop shining by pressing or moving a switch
- verb
- To move or place a thing in a particular position
- To rate something in importance or value
- To write or say something in a certain manner
come
US / kʌm /
•UK / kʌm /
- verb
- To arrive at a place
- (Of mail) to be delivered
- To move toward someone; go with someone
- To reach a certain point or state
only
US / ˈəunli /
•UK / ˈonli /
- adverb
- Just one; just that amount or thing; not more than
- Not very important or serious
- Just that type of thing, person
- Short time ago; not before a certain time
- conjunction
- Except; but
cross
US / krɒs /
•UK / krɔs, krɑs /
- adjecitve
- Angry and upset
- From one side of something to the other
- noun
- (Of animals) mixture of breeds in one animal
- Person's name
- verb
- To put one thing over another e.g. arms
- To breed one type of animal or plant with another
- To not to agree with someone; oppose
- To go from one side of something to the other
- To meet at one point
minus
US / ˈmaɪnəs /
•UK / ˈmaɪnəs /
- adjecitve
- Being close to the bottom of a letter grade
- noun
- Negative quality; disadvantage
- Sign that indicates subtraction
- preposition
- Being less than zero in number
- Used when subtracting one number from another
- verb
- To take one number away from another; subtract
and
US / ənd /
•UK / ənd, ən,ænd /
- conjunction
- Used to refer to two or more things
- Plus; in addition; on top of that
- Used to introduce an action that follows another
point
US / pɔɪnt /
•UK / pɔɪnt /
- noun
- An item to be discussed
- Small spot or dot
- Fact or detail
- Feature of something
- The size of the text on a page or screen
- A certain time or stage in a process
- Certain position in time or space
- Idea or fact you try to convince people about
- Measurement of scores in a game, sport
- Sharp end of something, e.g. a pen or pin
- verb
- To face a certain direction, e.g. north
- To indicate something with your finger to others
plus
US / plʌs /
•UK / plʌs /
- noun
- A benefit or advantage
- preposition
- In addition; add
- In addition to; Indicates a number above
- Having a value greater than zero
side
US / saɪd /
•UK / saɪd /
- adjecitve
- In addition to the central or most important thing
- Next to, or very close to, the right or left of
- noun
- Position or opinion that is opposite to another
- Right or left part of a person's body
- Feature of someone's personality
- Straight edge of an object
- One of two or more groups fighting each other
- verb
- To decide to agree with one point, not the other
notion
US / ˈnəuʃən /
•UK / ˈnoʃən /
- noun
- Sudden idea or desire to do something
divide
US / dɪ'vaɪd /
•UK / dɪˈvaɪd /
- verb
- To split numbers by another number, e.g. 6 / 2 = 3
- To separate something into equal pieces
write
US / raɪt /
•UK / raɪt /
- verb
- To compose letters and words on paper or a screen
- To invent or create a computer program
- To create a song or piece of music
reason
US / 'ri:zn /
•UK / ˈrizən /
- noun
- Ability to think about facts and form a judgment
- Explanation for why something occurred or was done
- verb
- To think and make conclusions in a logical manner
true
US / tru: /
•UK / tru: /
- adjecitve
- Agreeing with the facts; not false; real or actual
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
sure
US / ʃʊə(r) /
•UK / ʃʊr /
- adjecitve
- Having no doubts about something
- Have confidence in your own words or actions
- Firmly established or held; being firm or stable
- Being correct or true
- adverb
- What you say to agree willingly
satisfy
US / ˈsætɪsfaɪ /
•UK / ˈsætɪsˌfaɪ /
- verb
- To make someone happy because they got their wish
- To do what is required in order to finish
that
US / ðæt /
•UK / ðæt, ðət /
- adjecitve
- The person or thing being talked about
- Used to identify something both the speakers know
- adverb
- Used to reinforce adjectives and adverbs
- To such a degree
- conjunction
- Used to connect a noun clause
- Used to introduce an adverbial clause
- Used to introduce a noun clause
- determiner
- Used as a noun to refer to something
- pronoun
- Referring an object far away
- Used to refer to the relative pronoun ‘which’
even
US / 'i:vn /
•UK / ˈivən /
- adjecitve
- Being equal in influence, power, possibility etc.
- Being divided equally or fairly
- (Of teams/contest) with similar chances of success
- Smooth, level, or regular
- Can be divided by 2; ending in 2, 4, 6, 8, or 0
- At a regular, equally steady manner
- Remaining steady and unchanging
- adverb
- (When this is surprising) as well; too
- (Used to compare two things/stress the difference)
- verb
- To make something level; to flatten
- To make something equal
constraint
US / kənˈstreɪnt /
•UK / kənˈstrent /
- noun
- Thing preventing you moving or acting; restriction
straightforward
US / ˌstreɪtˈfɔ:wəd /
•UK / stretˈfɔrwəd /
- adjecitve
- Easy to do or understand; not complicated
solve
US / sɒlv /
•UK / sɑ:lv /
- verb
- To figure out a way to handle a difficult problem
number
US / ˈnʌmbə(r) /
•UK / ˈnʌmbɚ /
- noun
- Symbols such as 1, 2, 56, 793
- Particular song or dance performed during a show
- Total quantity or amount of things
- verb
- To put numbers on things
- To assign a sequence within a group, series, set
- To claim to be part of a larger group, series, set
then
US / ðen /
•UK / ðɛn /
- adverb
- A time that is not now
- Following another thing in time or arrangement
- Following on reasonably from what was just stated
- At that time, not now
place
US / pleɪs /
•UK / ples /
- noun
- Particular location, area or region
- verb
- To put someone in a particular type of situation
- To put something in a certain location or position
get
US / ɡet /
•UK / ɡɛt /
- verb
- To become affected by illness or disease
- To begin to feel or understand an emotion or idea
- To send or bring someone or something home, etc.
- To go somewhere to obtain something
- To (cause to) do a particular thing
- To obtain, receive or be given something
- To currently have
- To prepare for use
- To understand something being said or read
what
US / wɒt /
•UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /
- pronoun
- Thing or things that; the same kind as
- Used to emphasize something you are about to say
- adjecitve
- Used to refer to a particular amount, or number
- Used to place emphasis on a particular quality
- adverb
- To a certain degree
- determiner
- Question words used for asking for information
- exclamation
- Used to express excitement, shock, or surprise
- Used to ask people to repeat something they said
right
US / raɪt /
•UK / raɪt /
- adjecitve
- Correct or true
- The south side of you looking at the rising sun
- adverb
- Exactly in a place or time
- Being appropriate for a particular event
- In a straight or direct manner
- noun
- Something you are legally or morally allowed to do
- Ideal of what is just and good
- Political view based on conservatism
- verb
- To fix something previously wrong or unjust
- To make upright, as a boat that has turned over
essentially
US / ɪˈsenʃəli /
•UK / ɪˈsenʃəli /
- adverb
- Basically; (said when stating the basic facts)
happen
US / 'hæpən /
•UK / ˈhæpən /
- verb
- To take place or occur
step
US / step /
•UK / stɛp /
- noun
- Movement done as part of a particular dance
- Distance covered by one movement of a leg; stride
- One part or stage in a process
- Sound made by the feet while walking; footstep
- Flat horizontal piece that forms stairs
- verb
- To raise and moving the foot to put it down
like
US / laɪk /
•UK / laɪk /
- adjecitve
- Being equal in status or kind to something else
- Similar; the same
- adverb
- For example
- preposition
- Used as a filler; used to ad emphasis
- In a way similar to the way something is done
- Such as; for example
- verb
- To want to
- To find something pleasing; to prefer something
would
US / wʊd /
•UK / wʊd /
- other
- Used to indicate something imagined
- Used to ask or request something politely
- Verb used to indicate possibility, request etc.
- Used to indicate a preference
- Used to indicate a reaction
- Indicates something that occurred repeatedly
- Used to indicate willingness or ability to do
whole
US / həul /
•UK / hol /
- adjecitve
- Complete or full; all of
- Being in a good condition
- noun
- Complete amount or sum; total
video
US / 'vɪdɪəʊ /
•UK / ˈvɪdiˌo /
- adjecitve
- Of a moving film, with sound
- noun
- Recording capturing action with sound
- verb
- To make a moving film of, with sound
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
can
US / kæn /
•UK / kən,kæn /
- noun
- A metal container for storing food
- other
- Able to; have the skill to; have the time to
- verb
- To have permission to
- To be possible to do
- To preserve food by sealing it in a metal container
equal
US / 'i:kwəl /
•UK / ˈikwəl /
- adjecitve
- Same in shape, size, or number
- verb
- To add up or be the same as
substitute
US / 'sʌbstɪtju:t /
•UK / ˈsʌbstɪˌtut, -ˌtjut /
- noun
- A person or thing acting in place of another
- verb
- To perform the tasks instead of someone else
- To replace one person or thing for another
distribute
US / dɪˈstrɪbju:t /
•UK / dɪˈstrɪbjut /
- verb
- To hand out or give to people
- To send products to stores to sell
- To spread something over an area
same
US / seɪm /
•UK / sem /
- adjecitve
- Being equal in quality and amount
- Identical; not different
- Not changing; constant
good
US / ɡʊd /
•UK / ɡʊd /
- adjecitve
- Proper, appropriate or right
- (Of an amount) enough; plenty
- Excellent; high quality
- Acting well or properly; of moral character
- In a positive or happy emotional state
- noun
- Advantage or benefit
now
US / naʊ /
•UK / naʊ /
- adverb
- At the present time or moment
- Right away or in the next possible moment
- Used to refer to something that just happened
- Time between the present and a moment in the past
- conjunction
- Resulting from or because of something
want
US / wɔnt /
•UK / wɑnt, wɔnt /
- noun
- Something you desire or wish for
- State or condition of poverty
- verb
- To desire or wish for something; hope for a thing
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
give
US / ɡɪv /
•UK / ɡɪv /
- noun
- Degree of flexibility in something, a material
- verb
- To hand over or present something to someone
- To cause someone to have or experience something
negative
US / 'neɡətɪv /
•UK / ˈnɛɡətɪv /
- adjecitve
- Being harmful, unwanted or unhelpful
- In mathematics, being less than zero
- Focusing on the bad aspects; pessimistic
- noun
- The opposite to a positive electrical charge
- In grammar, containing words such as 'no' or 'not'
- Reply to a question or statement that means 'no'
- Image on camera film used to make a photo
see
US / si: /
•UK / si /
- verb
- To go on a date with someone
- To predict whether something is, or will be true
- To understand what someone says
- To use your eyes to look at something
- To visit a place often for sightseeing or pleasure
- To visit or meet with someone
- To find out by waiting or looking
- To watch (a game, movie or TV show)
behind
US / bɪˈhaɪnd /
•UK / bɪˈhaɪnd /
- adjecitve
- Concerning a later or slower time than expected
- Being in a losing position in a sporting event
- Being in the past; old fashioned
- adverb
- Remaining
- noun
- The part of the body that one sits on
- preposition
- At or toward the back of someone or something
- Supporting or helping someone
end
US / end /
•UK / ɛnd /
- noun
- The point where a process or activity stops
- A point that marks the limit of something; finish
- Goal or desired result
- The tip, edge or limit of something
- verb
- To be the last part of something
with
US / wɪð /
•UK / wɪð, wɪθ /
- preposition
- As an employee of a certain company
- Against something or someone
- By using something as a means
- Due to; because of
- Including
- Possessing as a feature
- Related to
- (Of the manner/attitude by which you do something)
- Used to express that people or things are together
have
US / həv /
•UK / hæv /
- verb
- To drink, smoke, eat or use something
- To experience the effects of something
- To organize an event, or join in an activity
- To own, possess, or hold something
- To cause to happen or produce a particular effect
equality
US / iˈkwɒləti /
•UK / iˈkwɑ:ləti /
- noun
- Idea that all people have the same rights
hold
US / həʊld /
•UK / hold /
- noun
- Section of a ship or plane used for storing things
- Influence or power held over someone
- Place of support for hands or feet when climbing
- verb
- To agree to keep something for someone
- To have the capacity to support/contain something
- To control an area and protect it from attack
- To not allow someone to leave a place
- To cause an event to happen at a place or time
- To use hands or arms to carry or keep something
- To have a specific quality or property
- To keep an image, belief or feeling in your mind
- To have or own something
- To wait before being able to talk on the phone
- To limit the movement of someone in a sport
both
US / bəuθ /
•UK / boθ /
- determiner
- Used to refer to two things at the same time
- pronoun
- Used to refer to two things at the same time
look
US / lʊk /
•UK / lʊk /
- noun
- Person's beauty or physical attractiveness
- Particular style of dress, clothes, or appearance
- The way someone, something appears to be
- Act of searching for or examining something
- verb
- To appear to be; seem
legitimately
US / lɪ'dʒɪtɪmətlɪ /
•UK / lɪ'dʒɪtɪmətlɪ /
- adverb
- In a lawfully recognized manner
cancel
US / 'kænsl /
•UK / ˈkænsəl /
- verb
- To end a legal, business, or other agreement
- To stop a planned event from happening
space
US / speɪs /
•UK / spes /
- noun
- Empty area kept for a specific reason, like a car
- Empty area with nothing in it
- Area in the sky where the stars are
- Area between written words on a page
- verb
- To make a certain distance or time between
rewrite
US / ˌri:'raɪt /
•UK / riˈraɪt /
- verb
- To write again to improve, or correct errors
pretty
US / 'prɪtɪ /
•UK / ˈprɪti /
- adjecitve
- Being attractive to the eye in a simple way
- adverb
- Very; to a great degree
they
US / ðeɪ /
•UK / ðe /
- pronoun
- Two or more people, animals, or things
subtract
US / səbˈtrækt /
•UK / səbˈtrækt /
- other
- To take away a value or amount from another
- verb
- To take away a value or amount from another
expression
US / ɪk'spreʃn /
•UK / ɪkˈsprɛʃən /
- noun
- Act of making your thoughts and feelings known
- Group of words that have a specific meaning
all
US / ɔ:l /
•UK / ɔl /
- adverb
- Completely; totally
- determiner
- Being every one of something
- pronoun
- 100% of something; the complete amount
multiply
US / ˈmʌltɪplaɪ /
•UK / ˈmʌltəˌplaɪ /
- verb
- To increase in number by reproducing/having babies
- To increase something by a large quantity
- To have increased by a large quantity
- To calculate two numbers e.g. 2 x 4
take
US / teɪk /
•UK / tek /
- noun
- Filming of a single scene for TV or the movies
- verb
- To accept something that is offered
- To use a method of traveling, e.g. a bus or train
- To use a camera to make (a photo)
- To pick up something and go away with it
- To study a subject in school
- To attempt to pass (an exam)
- To require a certain amount of time, money, space
work
US / wɜ:k /
•UK / wɚk /
- adjecitve
- Activity completed in order to make money
- noun
- The product of some artistic or literary endeavor
- Everything created by an author, artist, musician
- Activity you do in order to make money
- Place of employment
- Final product or result of a some labor or effort
- verb
- To bring into a specific state of success
- To be functioning properly, e.g. a car
- To do your job in your company or workplace
- To make an effort to do something
- To operate a machine or device