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Algebra — Mathematics Questions & Practice

Practise 369 Algebra questions from Mathematics for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on Algebra — with answers

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1. Solve for x: 3x + 7 = 22.

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Answer: C

3x=22-7=15, so x=15/3=5.

2. Solve for x: 2(x-3) = 3(x-5).

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Answer: C

2x-6=3x-15 → -x=-9 → x=9.

3. If x+y=10 and x-y=4, what is the value of xy?

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Answer: C

x=7, y=3 (solving simultaneously). xy=7×3=21.

4. What is the value of x² - 9 when x = 5?

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Answer: B

5²-9=25-9=16.

5. Factorize: x² - 5x + 6.

A(x-2)(x-3)
B(x-1)(x-6)
C(x+2)(x+3)
D(x-6)(x+1)

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Answer: A

We need two numbers that multiply to 6 and add to -5: -2 and -3. So x²-5x+6=(x-2)(x-3).

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Algebra — Mathematics Questions & Practice

Practice questions on Algebra — with answers

1. Solve for x: 3x + 7 = 22.

2. Solve for x: 2(x-3) = 3(x-5).

3. If x+y=10 and x-y=4, what is the value of xy?

4. What is the value of x² - 9 when x = 5?

5. Factorize: x² - 5x + 6.

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