what is algebra - csu channel islandsmath.csuci.edu/resources/documents/whatisalgebra.pdf · what...

21
Math Teachers Math Rocks Home Page GameBoard Full Screen Quit What is Algebra Algebra Basics History Laws for Real Numbers Stupid questions Polynomials

Upload: dinhmien

Post on 26-Jun-2018

220 views

Category:

Documents


0 download

TRANSCRIPT

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    What is Algebra

    Algebra Basics History Laws for RealNumbers

    Stupidquestions

    Polynomials

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Algebra Basics for 100.

    Variables x, y, z usually represent:

    Days of the weekPeople you knowCaloriesTimeUnknown numbers

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Algebra Basics for 200.

    n is usually used to symbolize

    a namea coefficienta fractiona natural numbera complex number

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Algebra Basics for 300.

    a, b, c, d usually symbolize

    valuesfunctionsvariablesconstantsparabolas

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Algebra Basics for 400.

    Which of the following is not an algebraic operation?

    AdditionMultiplicationDivisionSubtractionSolving

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    History for 100.

    Algebra = Calculating by Balancingin :

    LatinGreekFrenchArabicEnglish

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    History for 200.

    Algebra does NOT deal with

    algebraic expressionslinear equationsquadratic equationspolynomialsdifferential equations

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    History for 300.

    Which of the following equations is not algebraic?

    0 = 4x 4y + 3z0 = 4x2 4x+ 3x2 + y2 = 1

    cosx = 1

    0 = x3 4x2 4x+ 3

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    History for 400.

    Which of the following curves is not studied by alge-bra?

    a linea parabolaa cubic curvea spirala hyperbola

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Laws for Real Numbers for 100.

    The equation a+ b = b+ a is called

    Addition PropertyCommutative Property of MultiplicationCommutative Property of AdditionAssociative PropertyEasy Property

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Laws for Real Numbers for 200.

    The equation ab = ba is called

    Multiplication PropertySymmetry PropertyCumulative Property of MultiplicationAssociative PropertyCommutative Property of Multiplication

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Laws for Real Numbers for 300.

    The equation a(b+ c) = ab+ ac is called

    Multiplication Law for Three NumbersParenthesis LawDistributive LawAssociative LawCommutative Law

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Laws for Real Numbers for 400.

    The equation a(bc) = (ab)c = abc is called

    Multiplication Property for Three NumbersParenthesis PropertyAssociative Property of AdditionAssociative Property of MultiplicationCommutative Property of Multiplication

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Stupid questions for 100.

    0 is called an identity for addition, because a+ 0 =

    01a

    1010a

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Stupid questions for 200.

    1 is called an identity for multiplication, because itsatisfies a 1 =

    11/a

    0a

    a1

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Stupid questions for 300.

    a1 is called and an inverse element for a, becausea a1 =

    a

    a2

    1

    0

    1/a

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Stupid questions for 400.

    An equal sign in means

    the equation is always truethe equation is true if all variables are zerothe equation is true for any values substituted forvariablesthe equation is true for integersthe equation is true only for numbers that solvethe equation

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Polynomials for 100.

    The degree of y = 6x4 + 3x3 + 2x2 + 7x+ 2

    6-6243

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Polynomials for 200.

    Let y = 3x3 +2x2 7x 5 . when x = 0 then y = ?

    23-7-50

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Polynomials for 300.

    The graph of y = 2x2 + 7x+ 2 is:

    a linea hyperbolaa cubic curvea parabolaa point

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik

  • Mat

    hTe

    ache

    rsM

    ath

    Roc

    ks

    Home Page

    GameBoard

    Full Screen

    Quit

    Polynomials for 400.

    Let y = 5x2 + 7x+ 2 . Then when x is very large

    y = 0

    y is very smally is constanty is negativey is very large positive

    jeopardy.wavMedia File (audio/wav)

    http://www.mendelu.cz/user/marik