WORKSHEET ON SOLVING LINEAR EQUATIONS WITH ONE UNKNOWN

Solve the following equations with One unknown

1)  If 3x - 4(64 - x) = 10 then the value of x is

(a)  -266   (b) 133   (c) 66.5   (d) 38

2)  If 8x - 3 = 25 + 17x, then x is

(a)  a fraction   (b) an integer

(c) a rational number   (d) cannot be solved

3)  The value of x for which the expressions 3x - 4 and 2x + 1 become equal is

(a)  -3   (b) 0   (c) 5   (d) 1

4)  8x - 7 - 3x = 6x - 2x - 3

5)  10x - 5 - 7x = 5x + 15 - 8

6)  4t - 3 - (3t + 1) = 5t - 4

7)  5(x - 1) - 2(x + 8) = 0

8)  1 - (x - 2) - [(x - 3) - (x - 1)] = 0

9)   4(3p + 2) – 5(6p - 1) = 2(p - 8) – 6(7p - 4)

10)  3(5x - 7) + 2(9x  - 11) = 4(8x - 7) – 111

Solution

Answers :

1)  x = 38

2)  x is a fraction

3)  x = 5

4)  x = -4

5)  x = -6

6)  t = 1/4

7)  x = 0

8)  x = 5

9)   p = -5/22

10)  x = -68/29

Solve the following equations with unknown in Denominators

1)  (3x – 8)/2x = 1

2)  5x/(2x – 1) = 2

3)  (2x – 3)/(4x + 5) = 1/3

4)  8/x = 5/(x – 1)

5)  [5(1 – x) + 3(1 + x)]/(1 – 2x) = 8 

6)  [y – (4 – 3y)] / [2y – (3 + 4y)] = 1/5

7)  (9 – 3y)/(1 – 9y) = 8/5

8)  (3x + 2)/(2x – 3) = -3/4

9)  (5x + 1)/(2x) = -1/3

10)  (x + 1)/(2x + 7) = 3/8

11)  1/(x-1) + 2/(x+1) = 2

12)  (50/x) + 4 = 14

Solution

Answers :

1)  x = 8

2)  x = 2

3)  x = 7

4)  x = 8/3

5)  x = 0

6)  y = 17/22

7)  y = -37/57

8)  x  = 1/18

9)  x = -3/17

10)  x = 13/2

11)  x = (3±√17)/4

12)  x = 5

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