Algebraic Expression Ppt

download Algebraic Expression Ppt

of 20

Transcript of Algebraic Expression Ppt

  • 8/6/2019 Algebraic Expression Ppt

    1/20

    ObjectiveThe student will be able to:

    translate verbal expressions intomath expressions and vice versa.

    SOL: A.2

    Designed by Skip Tyler, Varina High School

  • 8/6/2019 Algebraic Expression Ppt

    2/20

    What is the area of a rectangle?

    Length times Width

    If the length is 3 meters and the width is 2

    meters, what is the area?A = L x W

    A = 3 x 2 = 6 meters2

    A, L and W are the variables. It is anyletter that represents an unknown number.

  • 8/6/2019 Algebraic Expression Ppt

    3/20

    An algebraic expression

    contains:

    1) one or more numbers or variables, and

    2) one or more arithmetic operations.Examples:

    x - 3

    3 2n

  • 8/6/2019 Algebraic Expression Ppt

    4/20

    In expressions, there are many

    different ways to write multiplication.

    1) ab

    2)

    a b

    3) a(b) or (a)b

    4) (a)(b)

    5) a x bWe are not going to use the multiplication symbol

    any more. Why?

  • 8/6/2019 Algebraic Expression Ppt

    5/20

    Division, on the other hand, is

    written as:

    1)

    2) x 3

  • 8/6/2019 Algebraic Expression Ppt

    6/20

    Throughout this year, you will hear many

    words that mean addition, subtraction,multiplication, and division. Complete the

    table with as many as you know.

  • 8/6/2019 Algebraic Expression Ppt

    7/20

    Here are some phrases you may have listed.

    The terms with * are ones that are often

    used.

  • 8/6/2019 Algebraic Expression Ppt

    8/20

    Write an algebraic expression for

    1) m increased by 5.

    m + 5

    2) 7 times the product ofx and t.

    7xt or 7(x)(t) or 7 x t

  • 8/6/2019 Algebraic Expression Ppt

    9/20

    3) 11 less than 4 times a number.4n - 11

    4) two more than 6 times a number.

    6n + 25) the quotient of a number and 12.

  • 8/6/2019 Algebraic Expression Ppt

    10/20

    Which of the following expressions represents

    7 times a number decreased by 13?1. 7x + 132. 7x - 133. 13 - 7x4. 13 + 7x

    Answer Now

  • 8/6/2019 Algebraic Expression Ppt

    11/20

    Which one of the following expressions

    represents 28 less than three times a number?1. 28 - 3x2. 3x - 283. 28 + 3x4. 3x + 28

    Answer Now

  • 8/6/2019 Algebraic Expression Ppt

    12/20

    Write a verbal expression for:

    1) 8 + a.

    The ratio ofm to rDo you have a different way of writing

    these?

    The sum of 8 and a

    2)

  • 8/6/2019 Algebraic Expression Ppt

    13/20

    Which of the following verbal expressions

    represents 2x + 9?

    Answer Now

    1. 9 increased by twice a number2. a number increased by nine3.

    twice a number decreased by 9

    4. 9 less than twice a number

  • 8/6/2019 Algebraic Expression Ppt

    14/20

    Which of the following expressions represents

    the sum of 16 and five times a number?

    Answer Now

    1. 5x - 162. 16x + 53. 16 + 5x4. 16 - 5x

  • 8/6/2019 Algebraic Expression Ppt

    15/20

    base

    and 3 is called the

    exponentor power.

    103 means 10 10 10103 = 1000

    When looking at the expression103, 10 is called the

  • 8/6/2019 Algebraic Expression Ppt

    16/20

    How is it said?

    21

    Two to the first power

    22

    Two to the second power or two squared23

    Two to the third power or two cubed

    2n7

    Two times n to the seventh power

  • 8/6/2019 Algebraic Expression Ppt

    17/20

    Which of the following verbal expressions

    represents x2 + 2x?

    Answer Now

    1. the sum of a number squared andtwice a number

    2. the sum of a number and twice thenumber

    3. twice a number less than the numbersquared

    4. the sum of a number and twice thenumber squared

  • 8/6/2019 Algebraic Expression Ppt

    18/20

    Which of the following expressions

    represents four less than the cube of a

    number?

    Answer Now

    1. 4 x32. 4 3x3. 3x 44. x3 4

  • 8/6/2019 Algebraic Expression Ppt

    19/20

    Evaluate.

    21

    2

    22

    2 2 = 423

    2 2 2 = 8

    2n7

    We cant evaluate because we dont

    know what n equals to!!

  • 8/6/2019 Algebraic Expression Ppt

    20/20

    Is 35 the same as 53?

    Evaluate each and find out!

    35 = 3 3 3 3 3 = 243

    53 = 5 5 5 = 125

    243 125

    They are not the same!

    http://teachers.henrico.k12.va.us/math/hcpsalgebra1/module1-1.html