Example 6: Subtracting polynomials with two variables | Algebra I | Khan Academy
A1 A2 B1 B2 C1 C2
group
US / ɡru:p /
•UK / ɡrup /
- noun
- Two or more musicians who play music together
- Number of people or things gathered together
- verb
- To combine or collect objects or people together
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
could
US / kəd /
•UK / kʊd /
- other
- Past form of 'can' to mean have ability
- Used to ask for something politely, or to offer
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)
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
stuff
US / stʌf /
•UK / stʌf /
- noun
- Generic description for things, materials, objects
- verb
- To push material inside something, with force
individually
US / ˌɪndɪˈvɪdʒuəli /
•UK / ˌɪndɪˈvɪdʒuəli /
- adverb
- In a way involving only that person
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
anywhere
US / ˈeniweə(r) /
•UK / ˈeniwer /
- adverb
- To any extent or degree (often used with not)
- In, at or to any place
- other
- Use to indicate limits or variation
constant
US / 'kɒnstənt /
•UK / ˈkɑnstənt /
- adjecitve
- Happening frequently or without pause
- noun
- Thing that happens always or at a regular rate
positive
US / ˈpɒzətɪv /
•UK / ˈpɑzɪtɪv /
- adjecitve
- Showing agreement or support for something
- Being sure about something; knowing the truth
- Having the charge produced by electrons
- Being good or useful
- Showing that a chemical is present in a test
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)
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
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
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
unchanged
US / ʌnˈtʃeɪndʒd /
•UK / ʌnˈtʃeɪndʒd /
- adjecitve
- Not made or become different
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
color
US / 'kʌlə(r) /
•UK / ˈkʌlɚ /
- noun
- Quality of things you can see, e.g. red, blue
- Pink or red in your face, e.g. after being ill
- The shade of someone's skin e.g. black, or yellow
- verb
- To change or affect someone's opinion
- To make something colorful using colored pencils
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
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
each
US / i:tʃ /
•UK / itʃ /
- determiner
- Every one of two or more things
- pronoun
- Per one person or thing
yeah
US / jeə /
•UK / ˈjɛə, ˈjæə, jɛ- /
- exclamation
- Another way of saying 'yes'
about
US / ə'baʊt /
•UK / əˈbaʊt /
- adverb
- To be ready to; going to
- Nearly; approximately; roughly
- Near; next to; close to
- In every direction; in the area of
- preposition
- Concerning or of (a topic)
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
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’
first
US / fɜ:st /
•UK / fɚst /
- adjecitve
- 1st; Coming before all others in time or place
- noun
- Something that has not happened before
- Position of the winner of a competition
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
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
square
US / skweə(r) /
•UK / skwɛr /
- adjecitve
- Being fair or honest
- Multiply a number by itself e.g. 2x2 or 6x6
- noun
- Shape with 4 equal length sides and 4 equal angles
- The result of multiplying Length by the width
- Open public area in the middle of the town
- verb
- To make something balance or be equal
- To multiply a number by itself, e.g. 2x2 or 6x8
- To straighten the edge to form a four-sided shape
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
shift
US / ʃɪft /
•UK / ʃɪft /
- adjecitve
- (Of work) starting at a certain time, as at night
- noun
- A change in a persons plans, opinions or beliefs
- Period of work starting at a certain time
- verb
- To change in position or direction
- To move something from one place to another
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
equivalent
US / ɪˈkwɪvələnt /
•UK / ɪˈkwɪvələnt /
- adjecitve
- Equal to something in value, use or meaning
- noun
- Thing like another in quality, quantity or degree
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
always
US / 'ɔ:lweɪz /
•UK / ˈɔlwez,-wɪz,-wiz /
- adverb
- For a very long time
- At all times; in every situation
- For ever
will
US / wɪl /
•UK / wɪl /
- noun
- Desire or choice of someone
- Document saying who gets your money when you die
- Strong desire to do something; determination
- Desire to do something; strong wish to do
- other
- Used with verbs to express the future
- verb
- To leave property to someone after your death
- To use mental effort to make something happen
- Am (is, are) likely to do
- To influence someone to do something
- To make something happen by strongly wanting it
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
add
US / æd /
•UK / æd /
- verb
- To include as well
- To put two things or numbers together, e.g. 2+2
original
US / ə'rɪdʒənl /
•UK / əˈrɪdʒənəl /
- adjecitve
- Being first made, thought or performed; fresh
- Being unique or thinking differently from others
rewrite
US / ˌri:'raɪt /
•UK / riˈraɪt /
- verb
- To write again to improve, or correct errors
all
US / ɔ:l /
•UK / ɔl /
- adverb
- Completely; totally
- determiner
- Being every one of something
- pronoun
- 100% of something; the complete amount
else
US / els /
•UK / ɛls /
- adverb
- Otherwise; if you fail to
- (Of person place thing etc.) besides; in addition
way
US / weɪ /
•UK / we /
- adverb
- Used to emphasize the amount of something
- noun
- Particular aspect of something being thought about
- One of various choices that could be made
- Particular existing condition or state
- (Often long) distance or length of time
- How something is done
- Route to go to a place
- Small street
- Usual behavior, emotions or habits of someone
clearly
US / ˈklɪəlɪ /
•UK / ˈklɪrlɪ /
- adverb
- In a way that is easy to understand; obviously
expression
US / ɪk'spreʃn /
•UK / ɪkˈsprɛʃən /
- noun
- Act of making your thoughts and feelings known
- Group of words that have a specific meaning
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
anything
US / ˈeniθɪŋ /
•UK / ˈɛniˌθɪŋ /
- pronoun
- A thing of any kind
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
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
something
US / ˈsʌmθɪŋ /
•UK / ˈsʌmθɪŋ /
- adverb
- In some degree or measure
- noun
- a person or thing of some value or consequence
- pronoun
- Thing that is not yet known or named
- Approximately
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
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
merge
US / mɜ:dʒ /
•UK / mɜ:rdʒ /
- noun
- Causing two or more things to combine into one
- verb
- To cause two or more things to combine into one
- To be combined into one
another
US / əˈnʌðə(r) /
•UK / əˈnʌðɚ /
- adjecitve
- One more, but not this
- determiner
- One more added
- pronoun
- One more (thing)
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
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
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
entire
US / ɪn'taɪə(r) /
•UK / ɛnˈtaɪr /
- adjecitve
- Complete or full; with no part left out; whole
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
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