Algebra: Revision (Algebraic Fraction)

posted by Mr Johari


ALGEBRAIC FRACTION
Revision:

Solving Equa

Video 1: Solving Multi-Step Equations with Fractions


Video 2: Solving Equations with Fractions


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8 comments:

  1. These are my methods. I am not sure whether they are right.

    Video 1

    1) 1/4 x + 3 = 2
    x/4 + 3/1 = 2/1
    x/4 + 12/4 = 8/4
    x + 12 = 8
    x = 8 - 12
    x = -4

    2) 1/2 (k - 8) = 6
    k/2 - 8/2 = 6/1
    k/2 - 8/2 = 12/2
    k - 8 = 12
    k = 12 + 8
    k = 20

    3) 1/2 d + 2 = 3/4
    d/2 + 2/1 = 3/4
    2d/4 + 8/4 = 3/4
    2d + 8 = 3
    2d = 3 - 8
    2d = -5
    d = - 5/2

    4) - 3/4 x + 1/4 = 1/2
    - 3x/4 + 1/4 = 2/4
    - 3x + 1 = 2
    - 3x = 2 - 1
    - 3x = 1
    x = -1/3

    Video 2:

    1) 1/2 m - 5 = - 3/2
    m/2 - 5/1 = - 3/2
    m/2 - 10/2 = - 3/2
    m - 10 = -3
    m = -3 + 10
    m = 7

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  3. 1a) 1/4 x + 3 = 2
    (1/4 X x/1) + 3 = 2
    x/4 + 3 = 2
    x/4 + 3/1 = 2/1
    x/4 + 12/4 = 8/4
    since the denominator is the same,
    x = 8 - 12
    x = -4

    b) 1/2 d + 2 = 3/4
    (1/2 X d/1) + 2 = 3/4
    d/2 + 2 = 3/4
    d/2 + 2/1 = 3/4
    2d/4 + 8/4 = 3/4
    since the denominator is the same,
    2d = 3 - 8
    2d = -5
    d = -2.5


    c) 1/2 (k - 8) = 6
    (1/2 X k/1) - (1/2 X 8/1) = 6/1
    k/2 - 8/2 = 12/2
    since the denominator is the same,
    k = 12 - 8
    k = 4

    d) -3/4 x + 1/4 = 1/2
    (-3/4 X x/1) + 1/4 = 1/2
    -3x/4 + 1/4 = 2/4
    since the denominator is the same,
    -3x = 2/4 - 1/4
    -3x = 1/4
    -x = 1/12
    x = -1/12

    2) 1/2 m - 5 = -3/2
    (1/2 X m/1) - 5/1 = -3/2
    m/2 - 10/2 = -3/2
    since the denominator is the same,
    m = -3 + 10
    m = 7

    ReplyDelete
  4. Video 1: Solving Multi-Step Equations with Fractions

    1/4x + 3 = 2
    1/4x = -1
    x = -4

    1/2 (k-8) = 6
    k-8 = 12
    k = 20

    1/2 d + 2 = 3/4
    d/2 + 2/1 = 3/4
    2d/4 + 8/4 = 3/4
    2d + 8 = 3
    2d = 3 - 8
    2d = -5
    d = - 5/2

    - 3/4 x + 1/4 = 1/2
    - 3x/4 + 1/4 = 2/4
    - 3x + 1 = 2
    - 3x = 2 - 1
    - 3x = 1
    x = -1/3

    Video 2: Solving Equations with Fractions

    1/2 m - 5 = - 3/2
    m/2 - 5/1 = - 3/2
    m/2 - 10/2 = - 3/2
    m - 10 = -3
    m = -3 + 10
    m = 7

    ReplyDelete
  5. Video 1: Solving Multi-Step Equations with Fractions
    1/4 x + 3 = 2
    1/4 x = 2 - 3
    1/4 x = -1
    x = -4

    1/2 (k-8) = 6
    1/2 k - 4 = 6
    1/2 k = 6 + 4
    1/2 k = 10
    k = 20

    1/2 d + 2 = 3/4
    2 d + 8 = 3
    2 d = 3 - 8
    2 d = -5
    d = -5/2

    -3/4 x + 1/4 = 1/2
    -3 x + 1 = 2
    -3 x = 2 - 1
    -3 x = 1
    x = -1/3

    Video 2: Solving Equations with Fractions
    1/2 m - 5 = - 3/2
    (2) (1/2 m - 5) = (- 3/2) (2)
    m - 10 = -3
    m = -3 + 10
    m = 7

    ReplyDelete
  6. Video 1: Solving Multi-Step Equations with Fractions

    1/4 x + 3 = 2
    1/4 x = 2 - 3
    1/4 x = -1
    so,
    x = -4

    1/2 (k-8) = 6
    1/2 k - 4 = 6
    1/2 k = 6 + 4
    1/2 k = 10
    so,
    k = 20

    1/2 d + 2 = 3/4
    2 d + 8 = 3
    2 d = 3 - 8
    2 d = -5
    so,
    d = -5/2

    -3/4 x + 1/4 = 1/2
    -3 x + 1 = 2
    -3 x = 2 - 1
    -3 x = 1
    so,
    x = -1/3


    Video 2: Solving Equations with Fractions

    1/2 m - 5 = - 3/2
    m/2 - 5/1 = - 3/2
    m/2 - 10/2 = - 3/2
    m - 10 = -3
    m = -3 + 10
    so,
    m = 7

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  7. This comment has been removed by the author.

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  8. Video 1
    1/4x+3=2
    1/4x=2-3=-1
    x=-1x4
    =-4

    1/2 (k - 8) = 6
    (k/2)-4=6
    k/2=6+4=10
    k=10x2
    =20

    1/2 d + 2 = 3/4

    3/4-2=-1 1/4
    1/2d=-5/4
    d=-5/4x2
    =-10/4
    =-5/2
    d=-2 1/2

    -3/4 x + 1/4 = 1/2
    -3/4x=1/2-1/4=1/4
    -3/4x=1/4
    -3x=1
    x=-1/3

    Video2
    1/2 m - 5 = - 1.5
    m-10=-3
    m=10-3
    m=7

    ReplyDelete