Algebra for SSC CGL | Concepts & Practice | SSC CGL Quantitative Aptitude

Learn the shortcut

Understand the fastest pattern for this topic before you attempt full MCQs.

Avoid common traps

See where students commonly lose marks so you can eliminate bad options earlier.

Solve faster in exam

Apply one practical method before attempting MCQs and cut down hesitation.

Summary Formula Tricks Mistakes Solved Example Practice FAQ

Algebra revision for SSC CGL: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Algebra converts numerical relationships into equations using variables. For SSC arithmetic, focus on identities, linear equations, factorisation, simplification and translating word statements into algebraic form.

The key exam skill is to identify the unknown, form the shortest valid equation and simplify without losing signs.

SSC CGL focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.

Algebra revision rule: concept → formula/relation → one worked example → timed practice → error review.

Core concept
Key formula/relation
Common trap
Approved practice

(a+b)² = a²+2ab+b²
(a-b)² = a²-2ab+b²
a²-b² = (a-b)(a+b)
If ax+b=c, then x=(c-b)/a, a≠0.

Before expanding expressions, check whether an identity or factorisation gives a shorter route. In MCQs, substitute simple values only when the expression allows it logically.

Next Step

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Solve topic-wise questions, measure accuracy, identify weak areas, and prepare for mock tests faster with a sharper revision flow.

Topic-wise practice built around this concept
Accuracy-focused repetition before full mocks
Weak-area clarity for smarter revision
Faster transition into timed tests

Practice Questions Take Topic Test Login for free progress tracking

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You can start learning here right away, explore formulas and tricks, and use the current limited practice flow before premium tools arrive.

Read the exact requirement before choosing a shortcut.
Keep units, signs and percentage bases consistent.
Use the final few seconds to verify direction and magnitude.

Using a memorised shortcut without checking its condition.
Skipping unit or base conversion.
Doing long arithmetic before identifying the underlying relation.

Practice example: If 3x+2y=18 and x−y=1, find x.

Solution: The value of x is 4.

In a Algebra practice set, a student answers 18 questions correctly out of 24. What percentage is correct?
If 3x + 10 = 25, find x.
If 4x + 17 = 41, find x.

Learn the shortcut first

Shortcut before you solve

Algebra becomes faster when you identify the structure before doing arithmetic.

Faster solving steps

Use this 4-step method before solving to keep your thinking fast and repeatable.

Step 1 Identify relation

Spot the pattern, relationship, or core idea first.

Step 2 Apply same pattern

Use the same rule instead of re-solving from scratch.

Step 3 Eliminate wrong options

Remove confusing choices before comparing the last few.

Step 4 Confirm final answer

Pick the option that matches the shortcut most cleanly.

Practice Questions

Start with the first 10 questions free, then unlock the rest with premium

Now apply the trick on real questions

Use the shortcut above before solving these questions

Translate the relation into the shortest equation, then simplify before substituting values.

Tip: Check whether an identity, factorisation, or simple linear equation is faster than expansion.

Step 1

Subtract 5 from both sides: 3x = 15.

Step 2

Divide by 3: x = 5.

Rule

Perform the same valid operation on both sides of an equation.

3-second trick

Isolate the variable before doing anything more complicated.

Trap to avoid

Do not change signs without applying the corresponding inverse operation.

Correct answer

5

Thinking path

Move the constant term first.
Reduce the coefficient of x.
Verify in the original equation.

Final answer: 5

Why this is fast: A linear equation is quickest when the variable is isolated step by step.

Free now: first 10 questions Premium later: full solutions, advanced tricks, targeted practice

Q1 Easy

If 10x + 30 = 150, find x.