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Linear Equations

Quantitative Aptitude · Maths Bookwise · Advanced Mathematics

Useful for: SSC CGL

BOOK-GUIDED ORIGINAL SSC MATHS PRACTICE — Linear Equations

FOUNDATION

ax + b = c implies x = (c − b)/a, for a ≠ 0.

METHOD

Identify the quantities given, choose the exact relationship, calculate in the same unit, then check the answer against the question.

WORKED EXAMPLE 1

Solve for x: 19x + 68 = 619.

Subtract 68: 19x=551. Divide by 19: x=29.

WORKED EXAMPLE 2

Solve for x: 3x + 32 = 218.

Subtract 32: 3x=186. Divide by 3: x=62.

IMPORTANT EXCEPTION / COMMON TRAP

Maintain equality when moving terms across sides.

QUICK REVISION

ax + b = c implies x = (c − b)/a, for a ≠ 0.

SEE MORE: https://study.kundali-iq.com/ssc-maths/algebra/

For complete timed maths practice, use SSC CGL Test Series → New Maths 100 Mixed Sets or Chapter-wise sets. These are independent original questions, not copied previous-year questions.

Practice MCQs

Solve for x: 19x + 68 = 619.
1. 29
2. 31
3. 30
4. 28
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Show answer
Answer: (a) 29. Subtract 68: 19x=551. Divide by 19: x=29.
Solve for x: 3x + 32 = 218.
1. 70
2. 66
3. 58
4. 62
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Show answer
Answer: (d) 62. Subtract 32: 3x=186. Divide by 3: x=62.
Solve for x: 10x + 12 = 502.
1. 49
2. 46
3. 52
4. 55
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Show answer
Answer: (a) 49. Subtract 12: 10x=490. Divide by 10: x=49.
Solve for x: 11x + 59 = 697.
1. 58
2. 64
3. 61
4. 55
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Show answer
Answer: (a) 58. Subtract 59: 11x=638. Divide by 11: x=58.
If 3x + 7 = 28, what is x
1. 9
2. 5
3. 6
4. 7
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Show answer
Answer: (d) 7. 3x = 28 − 7 = 21, hence x = 7.

Linear Equations

Practice MCQs

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