### 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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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

2. This comment has been removed by the author.

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

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

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

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

7. This comment has been removed by the author.

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