Q1
Not Answered
NATIVE
Q1. Solve: 5(x - 1) = 15
x - 1 = 15/5 = 3. Hence x = 4.
Home / General Aptitude / Algebraic equations
General Aptitude
Algebraic equations
Improve algebra speed through linear equations, transformations, and variable-balancing questions.
About Algebraic equations
Algebraic equations test your ability to translate word problems into mathematical equations and solve for unknown variables. This topic is fundamental to quantitative aptitude and appears across all major placement tests and competitive exams. Common question types include: solving linear equations in one variable, systems of two or three equations, age-related problems (using present and future ages), number relationship problems (digits, consecutive numbers), and problems involving ratios expressed as equations. The key approach is: define variables clearly, translate the problem into equations, solve step by step, and verify the answer satisfies all conditions. Below are solved algebraic equation questions with detailed explanations.
Key Takeaways
- Define variables clearly before writing equations — one variable per unknown.
- Translate word relationships: 'twice' = 2×, 'sum' = +, 'difference' = -, 'product' = ×.
- Age problems: in n years, everyone ages by n. Past ages require subtraction.
Frequently Asked Questions
How to solve age-related algebra problems?
1. Represent present ages as variables (x, y). 2. For past: subtract years from both. For future: add years to both. 3. Translate ratio statements into equations (e.g., 'A is twice as old as B' means A = 2B). 4. Solve the system. Age problems almost always give you two equations.
What are common tricks in algebraic word problems?
Look for: consecutive numbers (use x, x+1, x+2), digit problems (two-digit number = 10a + b where a is tens, b is ones), and 'twice/five times' language that translates directly to equations. Always define variables before writing equations.
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20 questions
~6 minutes
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Explanations included
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Q2
Not Answered
NATIVE
Q2. Solve for x: 4x + 8 = 20
4x = 12. So x = 12/4 = 3.
Q3
Not Answered
NATIVE
Q3. Solve: 3(x - 1) = 39
x - 1 = 39/3 = 13. Hence x = 14.
Q4
Not Answered
NATIVE
Q4. Solve for x: 7x + 13 = 34
7x = 21. So x = 21/7 = 3.
Q5
Not Answered
NATIVE
Q5. Solve for x: 2x + 3 = 17
2x = 14. So x = 14/2 = 7.
Q6
Not Answered
NATIVE
Q6. Solve: 4(x - 1) = 68
x - 1 = 68/4 = 17. Hence x = 18.
Q7
Not Answered
NATIVE
Q7. Solve for x: 6x + 1 = 67
6x = 66. So x = 66/6 = 11.
Q8
Not Answered
NATIVE
Q8. Solve: 7(x - 1) = 63
x - 1 = 63/7 = 9. Hence x = 10.
Q9
Not Answered
NATIVE
Q9. Find x: 4x + 1 = 3x + 10
(1)x = 9. So x = 9/1 = 9.
Q10
Not Answered
NATIVE
Q10. Find x: 5x + 7 = 1x + 15
(4)x = 8. So x = 8/4 = 2.
Q11
Not Answered
NATIVE
Q11. Find x: 2x + 5 = 2x + 5
(0)x = 0. So x = 0/0 = 9.
Q12
Not Answered
NATIVE
Q12. Solve for x: 9x + 5 = 50
9x = 45. So x = 45/9 = 5.
Q13
Not Answered
NATIVE
Q13. Solve: 2(x - 1) = 28
x - 1 = 28/2 = 14. Hence x = 15.
Q14
Not Answered
NATIVE
Q14. Find x: 5x + 6 = 1x + 18
(4)x = 12. So x = 12/4 = 3.
Q15
Not Answered
NATIVE
Q15. Solve: 7(x - 1) = 105
x - 1 = 105/7 = 15. Hence x = 16.
Q16
Not Answered
NATIVE
Q16. Find x: 3x + 8 = 2x + 20
(1)x = 12. So x = 12/1 = 12.
Q17
Not Answered
NATIVE
Q17. Solve for x: 8x + 9 = 105
8x = 96. So x = 96/8 = 12.
Q18
Not Answered
NATIVE
Q18. Solve for x: 9x + 10 = 28
9x = 18. So x = 18/9 = 2.
Q19
Not Answered
NATIVE
Q19. Find x: 2x + 8 = 1x + 22
(1)x = 14. So x = 14/1 = 14.
Q20
Not Answered
NATIVE
Q20. Solve for x: 2x + 8 = 16
2x = 8. So x = 8/2 = 4.
Quiz Summary
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Algebraic equations Formula, shortcuts & preparation guide
Master algebraic equations with regular practice. Key topics include percentage calculations, profit/loss, ratio, and time-work problems. Use shortcut methods for quick calculations and practice 15-20 questions daily to build speed and accuracy. This topic frequently appears in placement aptitude rounds.
Key formulas
- Regular practice improves accuracy
Algebraic equations Practice Questions with Answers
Build speed and accuracy with curated algebraic equations practice. Each quiz includes solved explanations, timed mode, and instant correctness feedback.
How to prepare effectively for this topic?
Practice short timed sets daily, review every explanation, and track recurring mistakes for weekly revision.
Are these questions useful for placements and competitive exams?
Yes. The format mirrors common screening rounds with option-based answers and explanation-driven learning.