Vocabulary

  • figure out: To understand the behavior of someone
  • know about: To have information or understanding of a subject or situation.
  • in other words: Stating something in a different way, often to make it clearer or more understandable.
  • as long as: For the period that; provided that.
  • look at: To use your eyes to focus on something
  • for example: As an illustration or instance.
  • by itself: Alone; without help or assistance.
  • on this side of: Located or situated at this particular side or part of something.
  • in the world: Used to emphasize a question expressing surprise, confusion, or disbelief.
  • in order to: For the purpose of; with the aim of.
  • think about: To consider something carefully.
  • deal with
  • at least: As a minimum
  • plug in
  • with just: Using only; with no more than.
  • in half: Divided into two equal parts.
  • cut in: To interrupt someone's conversation
  • for sure: Definitely; certainly; without a doubt.
  • work in: To make an opening for something in your schedule
  • brush up: To improve your knowledge, skill, or memory of
  • equivalent: Equal to something in value, use or meaning
  • figure: To appear in a game, play or event
  • matter: To be of great importance; to count
  • ancient: Very old; having lived a very long time ago
  • common: Area in a city or town that is open to everyone
  • specifically: As regards a particular thing; closely related to
  • sense: Certain mental feeling or emotion
  • identify: To indicate who or what someone or something is
  • describe: To tell the appearance, sound, smell of something
  • represent: To depict art objects, figures, scenes; to portray
  • amount: Quantity of something
  • dude: Form of address for a man
  • track: To use marks to follow a wild animal
  • relationship: Connection between two or more people or things
  • bit: Device put in a horse's mouth to control it
  • initial: First letter of your given name
  • definition: Explanation of word's meaning, as in dictionaries
  • statement: Record of activity in a bank account over time
  • substitute: To perform the tasks instead of someone else
  • simply: In an easy or clear manner
  • form: Sports team or person's current winning record
  • literal: Being the basic exact meaning of a word/expression
  • irrational: Not sensible or reasonable; illogical
  • equal: Same in shape, size, or number
  • relate: To demonstrate a logical relationship between
  • equation: Mathematical statement showing things to be equal
  • fit: Good looking; physically attractive
  • prove: To demonstrate truth by providing evidence
  • leave: To go away from; depart
  • plug: Wood, rubber or metal used to block a hole
  • root: Emotional connection with a place, history etc.
  • square: Shape with 4 equal length sides and 4 equal angles
  • lot: What happens to a person in life from chance; fate
  • important: Having power or authority
  • solve: To figure out a way to handle a difficult problem
  • kind: In a caring and helpful manner
  • order: Religious or social group, as of nuns
  • label: A (luxury) brand owned by a company
  • multiply: To increase in number by reproducing/having babies
  • algebra: Math using letters or symbols in place of numbers
  • isolate: To identify, consider, or deal with separately
  • angle: Place where two lines or surfaces meet
  • unit: One apartment in a building
  • geometry: Mathematical study of shapes, surfaces, and space
  • arithmetic: Math of adding, subtracting, dividing, multiplying
  • rearrange: To rethink a plan, event for a time and place
  • unknown: Not being known or famous
  • decimal: Number using one equal tenth of a whole as a basis
  • triangle: Three people connected with each in a relationship
  • geometric: With regular mathematical patterns/straight lines
  • diagonal: Joining two opposite corners at an angle
  • inverse: Being the opposite of something else
  • hypotenuse: Side of a right triangle opposite the right angle
  • theorem: A statement that can be proved
  • algebraic: Concerning algebra
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  • not found vocabularyNo vocabulary matches your filters
    • algebra

      US /ˈældʒəbrə/

      UK /ˈældʒɪbrə/

      • Uncountable Noun
      • Math using letters or symbols in place of numbers
      C1
      More
    • algebraic

      US /ˌældʒəˈbreɪk/

      UK /ˌældʒɪ'breɪɪk/

      • Adjective
      • Concerning algebra
      C1
      More
    • ancient

      US /ˈenʃənt/

      UK /'eɪnʃənt/

      • Adjective
      • Very old; having lived a very long time ago
      • Relating to a period in history, especially in the distant past.
      • Noun
      • A person who lived in ancient times.
      A2
      More
    • angle

      US /ˈæŋɡəl/

      UK /ˈæŋgl/

      • Noun
      • Place where two lines or surfaces meet
      B1TOEIC
      More
    • arithmetic

      US /əˈrɪθmɪtɪk/

      UK /əˈrɪθmətɪk/

      • Uncountable Noun
      • Math of adding, subtracting, dividing, multiplying
      B2
      More
    • as long as

      US /æz lɔŋ æz/

      UK /æz lɔŋ æz/

      • Conjunction
      • For the period that; provided that.
      • For the length of time that
      • Preposition
      • On the condition that; providing that.
      • Having the same length as.
      A1
      More
    • at least

      US /æt list/

      UK /æt li:st/

      • Adverb
      • As a minimum
      • Not less than
      • Phrase
      • No less than; at the minimum
      • Used to indicate that something is positive in a bad situation.
      C2
      More
    • brush up

      US /brʌʃ ʌp/

      UK /brʌʃ ʌp/

      • Phrasal Verb
      • To improve your knowledge, skill, or memory of
      A2
      More
    • by itself

      US /baɪ ɪtˈsɛlf/

      UK /bai itˈself/

      • Adverb
      • Alone; without help or assistance.
      • Without any external influence or aid.
      A2
      More
    • cut in

      US /kʌt ɪn/

      UK /kʌt in/

      • Phrasal Verb
      • To interrupt someone's conversation
      • To enter a queue at the wrong place
      A1
      More
    • deal with

      US /dil wɪð/

      UK /di:l wið/

      • Verb (Transitive/Intransitive)
      • To buy or sell goods or services.
      • Phrasal Verb
      • To take action to solve a problem or manage a situation.
      • To be about; concern.
      A1
      More
    • decimal

      US /ˈdɛsəməl/

      UK /'desɪml/

      • Noun
      • Number using one equal tenth of a whole as a basis
      B2
      More
    • definition

      US /ˌdɛfəˈnɪʃən/

      UK /ˌdefɪˈnɪʃn/

      • Noun (Countable/Uncountable)
      • Explanation of word's meaning, as in dictionaries
      • The sharpness of an image on a screen
      A2TOEIC
      More
    • diagonal

      US /daɪˈæɡənəl/

      UK /daɪˈægənl/

      • Adjective
      • Joining two opposite corners at an angle
      • Noun
      • A straight line joining two opposite corners of a square, rectangle, or other straight-sided shape.
      • A diagonal pattern or design.
      B2
      More
    • dude

      US /dud, djud/

      UK /du:d/

      • Noun
      • Form of address for a man
      • (informal) A man; a fellow.
      • Interjection
      • (informal) Used as a term of address, often between men.
      B2
      More
    • equation

      US /ɪˈkweʒən, -ʃən/

      UK /ɪˈkweɪʒn/

      • Noun (Countable/Uncountable)
      • Mathematical statement showing things to be equal
      • Complex set of different facts, ideas or issues
      B1
      More
    • equivalent

      US /ɪˈkwɪvələnt/

      UK /ɪˈkwɪvələnt/

      • Adjective
      • Equal to something in value, use or meaning
      • Having the same meaning or significance.
      • Noun
      • Thing like another in quality, quantity or degree
      B1TOEIC
      More
    • figure out

      US /ˈfɪɡjɚ aʊt/

      UK /ˈfiɡə aut/

      • Phrasal Verb
      • To understand the behavior of someone
      • To think through logically to find a solution
      • Verb (Transitive/Intransitive)
      • To understand or find an answer to something.
      • To find a solution to a problem or understand something.
      A1
      More
    • fit

      US /fɪt/

      UK /fɪt/

      • Adjective
      • Good looking; physically attractive
      • Having good physical health and strength
      • Verb (Transitive/Intransitive)
      • To install a machine, equipment etc.
      • To adjust or change to the right size or shape
      A2
      More
    • for example

      US

      UK

      • Phrase
      • As an illustration or instance.
      More
    • for sure

      US /fɔr ʃʊr/

      UK /fɔ: ʃuə/

      • Adverb
      • Definitely; certainly; without a doubt.
      • Used to emphasize a statement.
      • Interjection
      • An expression of strong agreement or affirmation.
      A2
      More
    • geometric

      US /ˌdʒiəˈmɛtrɪk/

      UK /ˌdʒi:əˈmetrɪk/

      • Adjective
      • With regular mathematical patterns/straight lines
      B2
      More
    • geometry

      US /dʒiˈɑ:mətri/

      UK /dʒiˈɒmətri/

      • Uncountable Noun
      • Mathematical study of shapes, surfaces, and space
      • Mathematical shape of something
      B2
      More
    • hypotenuse

      US /haɪˈpɑtn:ˌus, -ˌjus/

      UK /haɪˈpɒtənju:z/

      • Noun
      • Side of a right triangle opposite the right angle
      C2
      More
    • identify

      US /aɪˈdɛntəˌfaɪ/

      UK /aɪ'dentɪfaɪ/

      • Transitive Verb
      • To indicate who or what someone or something is
      • To say exactly what something is
      B1TOEIC
      More
    • in half

      US /ɪn hæf/

      UK /in hɑ:f/

      • Adverb
      • Divided into two equal parts.
      • Partially; to some extent.
      A1
      More
    • in order to

      US /ɪn ˈɔrdɚ tu/

      UK /in ˈɔ:də tu:/

      • Preposition
      • For the purpose of; with the aim of.
      • Phrase
      • In a specific sequence or arrangement.
      • With the aim of; for the purpose of.
      C1
      More
    • in other words

      US

      UK

      • Phrase
      • Stating something in a different way, often to make it clearer or more understandable.
      More
    • in the world

      US /ɪn ði wɜrld/

      UK /in ðə wɜː(r)ld/

      • Phrase
      • Used to emphasize a question expressing surprise, confusion, or disbelief.
      • Used to indicate the extent or degree of something, often in a superlative sense.
      A1
      More
    • initial

      US /ɪˈnɪʃəl/

      UK /ɪ'nɪʃl/

      • Noun
      • First letter of your given name
      • The beginning or commencement of something.
      • Transitive Verb
      • To authorize something by writing your initials
      • To mark or sign with one's initials.
      A2TOEIC
      More
    • inverse

      US / ˈɪnˌvə:s/

      UK /ɪnˈvɜ:s /

      • Adjective
      • Being the opposite of something else
      • Noun
      • Thing that is the complete opposite of another
      B2
      More
    • irrational

      US /ɪˈræʃənəl/

      UK /ɪˈræʃənl/

      • Adjective
      • Not sensible or reasonable; illogical
      • A real number that cannot be expressed as a ratio of two integers.
      B2
      More
    • isolate

      US /ˈaɪsəˌlet/

      UK /ˈaɪsəleɪt/

      • Transitive Verb
      • To identify, consider, or deal with separately
      • To keep in a place or situation apart from others
      B1
      More
    • know about

      US /noʊ əˈbaʊt/

      UK /nəʊ əˈbaut/

      • Phrasal Verb
      • To have information or understanding of a subject or situation.
      More
    • label

      US /ˈlebəl/

      UK /'leɪbl/

      • Noun (Countable/Uncountable)
      • A (luxury) brand owned by a company
      • A word or term used to describe a person, thing
      • Transitive Verb
      • To use a term to describe, often negatively
      • To attach material to identify something
      A2
      More
    • literal

      US /ˈlɪtərəl/

      UK /ˈlɪtərəl/

      • Adjective
      • Being the basic exact meaning of a word/expression
      • Being real and true and without exaggerating
      B1
      More
    • look at

      US /lʊk æt/

      UK /luk æt/

      • Phrasal Verb
      • To use your eyes to focus on something
      • To focus your eyes on something carefully
      A1
      More
    • multiply

      US /ˈmʌltəˌplaɪ/

      UK /ˈmʌltɪplaɪ/

      • Verb (Transitive/Intransitive)
      • To increase in number by reproducing/having babies
      • To increase something by a large quantity
      B1
      More
    • on this side of

      US /ɑn ðɪs saɪd əv/

      UK /ɒn ðɪs saɪd əv/

      • other
      • Located or situated at this particular side or part of something.
      B2
      More
    • plug

      US /plʌɡ/

      UK /plʌg/

      • Noun
      • Wood, rubber or metal used to block a hole
      • Thing on a wire to connect to electricity supply
      • Transitive Verb
      • To use an object to block a hole
      • To promote or advertise a product
      B1TOEIC
      More
    • plug in

      US /plʌɡ ɪn/

      UK /plʌɡ in/

      • Phrase
      B1
      More
    • prove

      US /pruv/

      UK /pru:v/

      • Transitive Verb
      • To demonstrate truth by providing evidence
      • To test the quality or worth of something.
      • Intransitive Verb
      • To turn out to be; be found to be.
      A2TOEIC
      More
    • rearrange

      US /ˌriəˈrendʒ/

      UK /ˌri:ə'reɪndʒ/

      • Verb (Transitive/Intransitive)
      • To rethink a plan, event for a time and place
      • To put into a new order for something to happen
      B1
      More
    • relate

      US /rɪˈlet/

      UK /rɪ'leɪt/

      • Transitive Verb
      • To demonstrate a logical relationship between
      • To understand or sympathize with, e.g. a problem
      A2TOEIC
      More
    • relationship

      US /rɪˈleʃənˌʃɪp/

      UK /rɪˈleɪʃnʃɪp/

      • Noun (Countable/Uncountable)
      • Connection between two or more people or things
      • Way people interact or live with each other
      A2TOEIC
      More
    • represent

      US /ˌrɛprɪˈzɛnt/

      UK /ˌreprɪ'zent/

      • Transitive Verb
      • To depict art objects, figures, scenes; to portray
      • To show or describe something in a particular way
      A2TOEIC
      More
    • root

      US /rut, rʊt/

      UK /ru:t/

      • Noun (Countable/Uncountable)
      • Emotional connection with a place, history etc.
      • The origin or starting place of something
      • Transitive Verb
      • To cause a plant to develop or grow roots
      • (Animals) to search for e.g. food in earth
      A2
      More
    • solve

      US /sɑ:lv/

      UK /sɒlv/

      • Transitive Verb
      • To figure out a way to handle a difficult problem
      A2TOEIC
      More
    • specifically

      US /spəˈsɪfɪkli/

      UK /spəˈsɪfɪkli/

      • Adverb
      • As regards a particular thing; closely related to
      • In a definite and clear manner.
      A2
      More
    • square

      US /skwɛr/

      UK /skweə(r)/

      • Noun (Countable/Uncountable)
      • Shape with 4 equal length sides and 4 equal angles
      • The result of multiplying Length by the width
      • Adjective
      • Being fair or honest
      • Multiply a number by itself e.g. 2x2 or 6x6
      A2TOEIC
      More
    • statement

      US / ˈstetmənt/

      UK /ˈsteɪtmənt/

      • Noun (Countable/Uncountable)
      • Record of activity in a bank account over time
      • Act or process of saying something formally
      A2TOEIC
      More
    • substitute

      US /ˈsʌbstɪˌtut, -ˌtjut/

      UK /'sʌbstɪtju:t/

      • Transitive Verb
      • To perform the tasks instead of someone else
      • To replace one person or thing for another
      • Noun
      • A person or thing acting in place of another
      B2TOEIC
      More
    • theorem

      US /ˈθiərəm, ˈθɪrəm/

      UK /ˈθɪərəm/

      • Noun
      • A statement that can be proved
      B2
      More
    • think about

      US /θɪŋk əˈbaʊt/

      UK /θiŋk əˈbaut/

      • Phrasal Verb
      • To consider something carefully.
      • To remember or call to mind.
      A1
      More
    • track

      US /træk/

      UK /træk/

      • Transitive Verb
      • To use marks to follow a wild animal
      • To move a certain way/follow a particular course
      • Noun
      • A circular course for running
      • Course or way someone takes, e.g. in education
      A2TOEIC
      More
    • triangle

      US /ˈtraɪˌæŋɡəl/

      UK /ˈtraɪæŋgl/

      • Noun
      • Three people connected with each in a relationship
      • A three-sided piece of metal used in orchestras
      B1TOEIC
      More
    • unit

      US /ˈjunɪt/

      UK /ˈju:nɪt/

      • Countable Noun
      • One apartment in a building
      • Group of people, e.g. soldiers, that work together
      B2TOEIC
      More
    • unknown

      US /ˌʌnˈnoʊn/

      UK /ˌʌnˈnəʊn/

      • Adjective
      • Not being known or famous
      • Being unfamiliar or not known
      • Countable Noun
      • Person who is not famous or known by many
      B1
      More
    • with just

      US

      UK

      • Phrase
      • Using only; with no more than.
      • Barely; by a narrow margin.
      A2
      More
    • work in

      US /wɚk ɪn/

      UK /wə:k in/

      • Phrasal Verb
      • To make an opening for something in your schedule
      • To fit person/thing into a schedule or sequence
      A1
      More
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    01:03

    She took a brave step forward, leaving behind her comfort zone to chase her dreams.

    Vocabulary
    • brave

      adj. Having courage

    • comfort zone

      phr. A familiar situation where one feels safe

    Explanation
    a brave step is a noun phrase, where brave is an adjective modifying the noun step, meaning "a courageous step". forward is an adverb modifying step, meaning "ahead". The whole phrase serves as the object, answering the "what" of took (verb) — she took a brave step forward.

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    brave

    US/brev/
    UK/breɪv/
    adj.Brave
    v.t.To bravely face
    A2 Elementary

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    80
    B1US
    #pythagorean theorem#theorem#pythagorean#squared#triangle#square

    Math Antics - The Pythagorean Theorem

    0
    Jasmine Chen cc posted on 2026/07/03
    Ever wondered about the magic behind right triangles? This video breaks down the famous Pythagorean Theorem, explaining the relationship between a triangle's sides with clear examples. You'll learn key terms like 'legs' and 'hypotenuse' and see how this theorem can help you find unknown lengths!

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