Year 2010

These are my methods. I am not sure whether they are right.Video 11) 1/4 x + 3 = 2 x/4 + 3/1 = 2/1 x/4 + 12/4 = 8/4 x + 12 = 8 x = 8 - 12 x = -42) 1/2 (k - 8) = 6 k/2 - 8/2 = 6/1 k/2 - 8/2 = 12/2 k - 8 = 12 k = 12 + 8 k = 203) 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 = -1/3Video 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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1a) 1/4 x + 3 = 2(1/4 X x/1) + 3 = 2x/4 + 3 = 2x/4 + 3/1 = 2/1x/4 + 12/4 = 8/4since the denominator is the same,x = 8 - 12x = -4b) 1/2 d + 2 = 3/4(1/2 X d/1) + 2 = 3/4d/2 + 2 = 3/4d/2 + 2/1 = 3/42d/4 + 8/4 = 3/4since the denominator is the same,2d = 3 - 82d = -5d = -2.5c) 1/2 (k - 8) = 6(1/2 X k/1) - (1/2 X 8/1) = 6/1k/2 - 8/2 = 12/2since the denominator is the same,k = 12 - 8k = 4d) -3/4 x + 1/4 = 1/2(-3/4 X x/1) + 1/4 = 1/2-3x/4 + 1/4 = 2/4since the denominator is the same,-3x = 2/4 - 1/4-3x = 1/4-x = 1/12x = -1/12 2) 1/2 m - 5 = -3/2(1/2 X m/1) - 5/1 = -3/2m/2 - 10/2 = -3/2since the denominator is the same,m = -3 + 10m = 7

Video 1: Solving Multi-Step Equations with Fractions1/4x + 3 = 21/4x = -1x = -41/2 (k-8) = 6k-8 = 12k = 201/2 d + 2 = 3/4d/2 + 2/1 = 3/42d/4 + 8/4 = 3/42d + 8 = 32d = 3 - 82d = -5d = - 5/2- 3/4 x + 1/4 = 1/2- 3x/4 + 1/4 = 2/4- 3x + 1 = 2- 3x = 2 - 1- 3x = 1x = -1/3Video 2: Solving Equations with Fractions1/2 m - 5 = - 3/2m/2 - 5/1 = - 3/2m/2 - 10/2 = - 3/2m - 10 = -3m = -3 + 10m = 7

Video 1: Solving Multi-Step Equations with Fractions1/4 x + 3 = 21/4 x = 2 - 31/4 x = -1x = -41/2 (k-8) = 61/2 k - 4 = 61/2 k = 6 + 41/2 k = 10k = 201/2 d + 2 = 3/42 d + 8 = 32 d = 3 - 82 d = -5d = -5/2-3/4 x + 1/4 = 1/2-3 x + 1 = 2-3 x = 2 - 1-3 x = 1x = -1/3Video 2: Solving Equations with Fractions1/2 m - 5 = - 3/2(2) (1/2 m - 5) = (- 3/2) (2)m - 10 = -3m = -3 + 10m = 7

Video 1: Solving Multi-Step Equations with Fractions1/4 x + 3 = 21/4 x = 2 - 31/4 x = -1so,x = -41/2 (k-8) = 61/2 k - 4 = 61/2 k = 6 + 41/2 k = 10so,k = 201/2 d + 2 = 3/42 d + 8 = 32 d = 3 - 82 d = -5so,d = -5/2-3/4 x + 1/4 = 1/2-3 x + 1 = 2-3 x = 2 - 1-3 x = 1so,x = -1/3Video 2: Solving Equations with Fractions1/2 m - 5 = - 3/2m/2 - 5/1 = - 3/2m/2 - 10/2 = - 3/2m - 10 = -3m = -3 + 10so,m = 7

Video 11/4x+3=21/4x=2-3=-1x=-1x4=-41/2 (k - 8) = 6(k/2)-4=6k/2=6+4=10k=10x2=201/2 d + 2 = 3/43/4-2=-1 1/41/2d=-5/4d=-5/4x2=-10/4=-5/2d=-2 1/2-3/4 x + 1/4 = 1/2-3/4x=1/2-1/4=1/4-3/4x=1/4-3x=1x=-1/3Video21/2 m - 5 = - 1.5m-10=-3m=10-3m=7

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

ReplyDeleteVideo 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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ReplyDelete1a) 1/4 x + 3 = 2

ReplyDelete(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

Video 1: Solving Multi-Step Equations with Fractions

ReplyDelete1/4x + 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

Video 1: Solving Multi-Step Equations with Fractions

ReplyDelete1/4 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

Video 1: Solving Multi-Step Equations with Fractions

ReplyDelete1/4 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

This comment has been removed by the author.

ReplyDeleteVideo 1

ReplyDelete1/4x+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