SOLVE LINEAR EQUATIONS IN ONE VARIABLE WORKSHEET

Solve each equation. Indicate if an equation has no solution or infinitely many solutions.

1)  2x + 4 = 9 + x      Solution

2)  5a + 5 = 5(a + 1)   Solution

3)  5a + 5 = 5(a + 2)    Solution

4)  b + 3b – 10 = 2(2b – 5)    Solution

5)  y + 5y – 6 = 3(2y – 2)      Solution

6)  -4i – 11 = 4i/2 + 7        Solution

7)  -4z + 6 = 4(-z + 2)     Solution

8)  4i + 3 = 4(i + 1)   Solution

9)  6z + z = 5z + 10    Solution

10)  2c – c = 3c - 5     Solution

11)  12n + 7 = 4n + 8n + 6     Solution

12) 12d(3 – 2) = 24    Solution

13)  4x = x + 10.5   Solution

Determine if each equation has one solution, many solutions, or no solution. If the equation has a solution, determine the solution to the equation.

1)  2x - x + 7 = x + 3 + 4               Solution

2)  -2(x + 1) = -2x + 5        Solution

3)  4x + 2x + 2 = 3x - 7        Solution

4) 2(x + 2) + 3x = 2(x + 1) + 1      Solution

5)  4(x - 1) = 1/2(x - 8)      Solution

6)  1/2(2 - 4x) + 2x = 13      Solution

7)  3x - x + 4 = 4(2x - 1)      Solution

8)  4(2x + 1) = 5x + 3x + 9      Solution

9)  10 + x = 5(1/5x + 2)      Solution

10)  8(x + 2) = 2x + 16      Solution

11)  3 + 3/2x + 4 = 4x - 5/2x      Solution