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Linear equations and inequalities

Class 9 · Mathematics · 10 questions

Name: ____________________   Date: ____________

  1. Solve 3x + 5 = 20.

    • A x = 15
    • B x = 5
    • C x = 25/3
    • D x = 8
  2. Solve 2x - 7 = 9.

    • A x = 1
    • B x = 2
    • C x = 16
    • D x = 8
  3. Solve x/4 = 7.

    • A x = 28
    • B x = 3
    • C x = 11
    • D x = 1.75
  4. Solve the inequality 2x + 1 > 7.

    • A x < 3
    • B x > 4
    • C x > 3
    • D x > 6
  5. When both sides of an inequality are multiplied by a negative number, the inequality sign:

    • A Disappears
    • B Becomes equal
    • C Stays the same
    • D Reverses
  6. The sum of two consecutive numbers is 41. What is the smaller number?

    • A 22
    • B 21
    • C 19
    • D 20
  7. Solve 5x = 35.

    • A x = 7
    • B x = 40
    • C x = 30
    • D x = 175
  8. Solve x + 9 = 15.

    • A x = 9
    • B x = -6
    • C x = 24
    • D x = 6
  9. The solution of 2(x - 1) = 8 is:

    • A x = 5
    • B x = 4
    • C x = 9
    • D x = 3
  10. Solve the inequality x - 3 < 2.

    • A x < 5
    • B x < -1
    • C x > 5
    • D x > -1

Answer key

1. B, 2. D, 3. A, 4. C, 5. D, 6. D, 7. A, 8. D, 9. A, 10. A

  1. 3x = 15, so x = 5.

  2. 2x = 16, so x = 8.

  3. Multiply both sides by 4: x = 28.

  4. 2x > 6, so x > 3.

  5. Multiplying or dividing by a negative number reverses the inequality sign.

  6. x + (x + 1) = 41 gives x = 20.

  7. Divide both sides by 5.

  8. Subtract 9.

  9. x - 1 = 4, so x = 5.

  10. Add 3 to both sides.