Home / General Aptitude / Algebraic equations

15 Algebraic equations Questions and Answers

15 solved Algebraic equations questions with step-by-step explanations. Includes formulas, shortcuts, and tips for placement tests and competitive exams.

Play Timed Quiz View Tutorial

Practice algebraic equations questions with detailed explanations. These solved examples cover the most frequently asked patterns in placement and competitive exams.

Q1 Easy

Solve for x: 8x + 9 = 41

  • A. 4 ✓
  • B. 1
  • C. 2
  • D. 6
Explanation: 8x = 32. So x = 32/8 = 4.
Q2 Easy

Solve for x: 9x + 5 = 140

  • A. 15 ✓
  • B. 17
  • C. 13
  • D. 12
Explanation: 9x = 135. So x = 135/9 = 15.
Q3 Easy

Solve: 7(x - 1) = 63

  • A. 10 ✓
  • B. 12
  • C. 8
  • D. 7
Explanation: x - 1 = 63/7 = 9. Hence x = 10.
Q4 Easy

Solve for x: 7x + 6 = 111

  • A. 15 ✓
  • B. 17
  • C. 13
  • D. 12
Explanation: 7x = 105. So x = 105/7 = 15.
Q5 Easy

Solve: 5(x - 1) = 65

  • A. 11
  • B. 16
  • C. 14 ✓
  • D. 12
Explanation: x - 1 = 65/5 = 13. Hence x = 14.
Q6 Easy

Solve for x: 6x + 10 = 94

  • A. 11
  • B. 14 ✓
  • C. 16
  • D. 12
Explanation: 6x = 84. So x = 84/6 = 14.
Q7 Medium

Find x: 2x + 6 = 3x + 1

  • A. 3
  • B. 7
  • C. 2
  • D. 5 ✓
Explanation: (-1)x = -5. So x = -5/-1 = 5.
Q8 Medium

Solve for x: 8x + 10 = 82

  • A. 9 ✓
  • B. 6
  • C. 7
  • D. 11
Explanation: 8x = 72. So x = 72/8 = 9.
Q9 Medium

Solve for x: 4x + 10 = 54

  • A. 11 ✓
  • B. 8
  • C. 9
  • D. 13
Explanation: 4x = 44. So x = 44/4 = 11.
Q10 Medium

Solve for x: 6x + 10 = 130

  • A. 22
  • B. 17
  • C. 20 ✓
  • D. 18
Explanation: 6x = 120. So x = 120/6 = 20.
Q11 Medium

Solve for x: 8x + 15 = 167

  • A. 16
  • B. 17
  • C. 21
  • D. 19 ✓
Explanation: 8x = 152. So x = 152/8 = 19.
Q12 Hard

Find x: 5x + 8 = 2x + 35

  • A. 9 ✓
  • B. 7
  • C. 6
  • D. 11
Explanation: (3)x = 27. So x = 27/3 = 9.
Q13 Hard

Find x: 6x + 5 = 4x + 31

  • A. 15
  • B. 13 ✓
  • C. 11
  • D. 10
Explanation: (2)x = 26. So x = 26/2 = 13.
Q14 Hard

Solve for x: 5x + 5 = 105

  • A. 17
  • B. 20 ✓
  • C. 18
  • D. 22
Explanation: 5x = 100. So x = 100/5 = 20.
Q15 Hard

Find x: 6x + 8 = 3x + 23

  • A. 2
  • B. 7
  • C. 3
  • D. 5 ✓
Explanation: (3)x = 15. So x = 15/3 = 5.

More Algebraic equations Practice Resources

For more algebraic equations practice, try our timed quiz mode that generates fresh questions every session.

Timed Quiz → Tutorial → Averages Data Interpretation sets Geometry basics Logical puzzles Mixtures Multi-step word problems