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SSC CGL Algebra Practice Test 1

15 SSC CGL algebra questions on linear equations, identities, quadratics, and factorization.

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SSC CGL Practice Session

SSC CGL Algebra Practice Test 1

15 SSC CGL algebra questions on linear equations, identities, quadratics, and factorization.

Questions
14
Marking
+2 correct, -0.5 wrong
Format
15-question ad-supported session
Preview all 14 questions in SSC CGL Algebra Practice Test 1 (no login required)
  1. Linear Equations

    1. Solve: 3x + 5 = 20

    • A. 3
    • B. 4
    • C. 5 (Correct)
    • D. 6

    Explanation: 3x = 15, so x = 5.

  2. Linear Equations

    2. If 2x = 18, x =

    • A. 6
    • B. 7
    • C. 8
    • D. 9 (Correct)

    Explanation: x = 18/2 = 9.

  3. Identities

    3. (a + b)^2 =

    • A. a^2 + b^2
    • B. a^2 + 2ab + b^2 (Correct)
    • C. a^2 - 2ab + b^2
    • D. 2a + 2b

    Explanation: This is the standard algebraic identity.

  4. Factorization

    4. Factorize: x^2 - 9

    • A. (x - 9)(x + 1)
    • B. (x - 3)(x + 3) (Correct)
    • C. (x - 1)(x + 9)
    • D. (x - 3)^2

    Explanation: It is a difference of squares.

  5. Quadratic

    5. If x^2 - 9 = 0, then x =

    • A. 3 only
    • B. -3 only
    • C. ±3 (Correct)
    • D. ±9

    Explanation: x^2 = 9, so x = ±3.

  6. Simultaneous Equations

    6. If x + y = 10 and x - y = 2, then x =

    • A. 4
    • B. 5
    • C. 6 (Correct)
    • D. 7

    Explanation: Adding the equations gives 2x = 12, so x = 6.

  7. Simultaneous Equations

    7. If x + y = 10 and x - y = 2, then y =

    • A. 2
    • B. 3
    • C. 4 (Correct)
    • D. 5

    Explanation: With x = 6, y = 4.

  8. Polynomials

    8. Degree of polynomial 5x^3 + 2x^2 - 7 is:

    • A. 1
    • B. 2
    • C. 3 (Correct)
    • D. 5

    Explanation: Highest power of x is 3.

  9. Expressions

    9. Value of 2x + 3 when x = 4 is:

    • A. 9
    • B. 10
    • C. 11 (Correct)
    • D. 12

    Explanation: 2×4 + 3 = 11.

  10. Identity Use

    10. If a + b = 10 and ab = 21, then a^2 + b^2 =

    • A. 42
    • B. 58 (Correct)
    • C. 68
    • D. 79

    Explanation: a^2 + b^2 = (a+b)^2 - 2ab = 100 - 42 = 58.

  11. Factorization

    11. Factorize: x^2 + 5x + 6

    • A. (x+2)(x+3) (Correct)
    • B. (x+1)(x+6)
    • C. (x-2)(x-3)
    • D. (x+2)^2

    Explanation: 2 and 3 multiply to 6 and add to 5.

  12. Quadratic Roots

    12. Roots of x^2 - 5x + 6 = 0 are:

    • A. 1 and 6
    • B. 2 and 3 (Correct)
    • C. 3 and 4
    • D. 1 and 5

    Explanation: x^2 - 5x + 6 = (x-2)(x-3).

  13. Linear Equations

    13. Solve: 5x - 15 = 0

    • A. 1
    • B. 2
    • C. 3 (Correct)
    • D. 4

    Explanation: 5x = 15, so x = 3.

  14. Identity Use

    14. If x + 1/x = 5, then x^2 + 1/x^2 =

    • A. 21
    • B. 23 (Correct)
    • C. 25
    • D. 27

    Explanation: (x + 1/x)^2 = x^2 + 1/x^2 + 2, so x^2 + 1/x^2 = 25 - 2 = 23.