TYPES OF SOLUTIONS LINEAR EQUATIONS IN ONE VARIABLE WORKSHEET

Solve for x and find the types of solution for the equations given below. :

Problem 1 :

-5x+ 3 = 2x + 10

Solution

Problem 2 :

3x - 12x = 24 - 9x

Solution

Problem 3 :

4(2x - 3) + 4 = 8x - 8

Solution

Problem 4 :

2(x + 7) = 6x + 9 - 4x

Solution

Problem 5 :

-5(3 - 4x) = -6 + 20x + 9

Solution

Problem 6 :

-8x + 3 - 2x = - 6x + 3 - 4x

Solution

Problem 7 :

10x + 3 + 10x = 13x - 3 + 7x

Solution

Problem 8 :

0.125x = 0.025 (5x + 1)

Solution

Problem 9 :

The solution of which of the following equations is neither a fraction nor an integer.

(a) 3x + 2 = 5x + 2           (b) 4x – 18 = 2

(c) 4x + 7 = x + 2            (d) 5x – 8 = x + 4

Solution

Problem 10 :

If 8x – 3 = 25 + 17x, then x is

(a) a fraction         (b) an integer

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

Solution

Problem 11 :

The solution of the equation

3x – 4 = 1 – 2x is ____.

Solution