Algebra

LSSSSB Non-Technical · Mathematics · 47 practice questions with answers and explanations: 21 Easy, 26 Medium, 0 Hard.

Sample questions

Sample Easy question 1

If x + 1/x = 3, find the value of x² + 1/x².

  1. 6
  2. 5
  3. 7
  4. 9
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Answer: C. x² + 1/x² = (x + 1/x)² - 2 = 9 - 2 = 7.

Sample Easy question 2

If x - 1/x = 4, find the value of x² + 1/x².

  1. 16
  2. 20
  3. 14
  4. 18
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Answer: D. x² + 1/x² = (x - 1/x)² + 2 = 16 + 2 = 18.

Sample Easy question 3

Find the sum of the squares of the roots of x² - 7x + 12 = 0.

  1. 26
  2. 23
  3. 24
  4. 25
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Answer: D. Roots are 3 and 4; sum of squares = 9 + 16 = 25.

Sample Medium question 4

If 2x + 3y = 12 and x = 3, find y.

  1. 2
  2. 3
  3. 1
  4. 4
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Answer: A. 6 + 3y = 12, so 3y = 6, giving y = 2.

Sample Medium question 5

Which of the following is a factor of x² - 9?

  1. (x - 1)
  2. (x - 3)
  3. (x - 9)
  4. (x + 9)
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Answer: B. x² - 9 = (x - 3)(x + 3), so (x - 3) is a factor.

Sample Medium question 6

If x = 3 and y = -2, find the value of x² - y².

  1. 6
  2. 4
  3. 3
  4. 5
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Answer: D. x² - y² = 9 - 4 = 5.

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